Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions

Xin-Nian Wang (LBNL); Zuo-Tang Liang (Shandong U)

REVIEW

Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions

Zuo-Tang Liang (Shandong U), Xin-Nian Wang (LBNL)

Nuclear Theory · Submitted 18 Oct 2004 · 17 references

Pith's verdict: The spin-orbit mechanism is right and started a real subfield; the magnitude estimate is not controlled, and the appended erratum makes it worse rather than better.

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arXiv IDnucl-th/0410079 (version 5)

Pith IDI6GKNVFU, Pith's permanent record of this paper and its review

CitationXin-Nian Wang (LBNL), Zuo-Tang Liang (Shandong U). "Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions." arXiv:nucl-th/0410079 (2004). https://pith.science/paper/I6GKNVFU

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Short version: the qualitative claim here is correct and important, and the number they attach to it is not derived from their own equations. Both things are true at once, and the paper is worth reading for the first reason while being refereed hard on the second. What is new: they ask the obvious question nobody had asked cleanly — non-central collisions carry global orbital angular momentum along -y, does any of it reach quark spin? — and answer it with a perturbative argument. Eq. (7) is a standard spin-dependent scattering cross section, and the term proportional to p·(x̂_T × n̂_b) has the right sign and structure. The geometry then does the rest: average over the transverse plane with a preferred reaction plane and you get net quark polarization opposite to the reaction plane. The observable predictions that follow — hyperons polarized perpendicular to the reaction plane, vanishing in central collisions, growing with b, similar for particles and antiparticles, finite at midrapidity — are sharp, and the ones that have been tested came out right. That list is the paper's real contribution and it holds up. Where it is soft is the magnitude. Eq. (11) with their own inputs (p = Δpz/2 ≈ 0.05 GeV, μ ≈ 0.5 GeV) gives |Pq| ≈ 0.16 only if E ≈ μ, which is exactly where the small-angle expansion behind Eq. (7) fails; at E = 1 GeV it is 4%. The erratum concedes this, which is to their credit, but the replacement text does not repair it: 'Pq = −πμ/2Δpz' with μ = 0.5 and Δpz = 0.1 gives |Pq| ≈ 8, which is not a polarization. That reads like an inverted rendering of the original Pq ~ −Δpz/μ. So the manuscript now carries two mutually inconsistent magnitude estimates, neither controlled. The erratum's 'one needs to go beyond small-angle scattering' is not a caveat on a valid number; it means no number follows. Two smaller things: 'multiple scattering will further increase the polarization' is asserted, and multiple scattering can depolarize as easily as polarize; the hadronization estimates (PΛ = Ps, etc.) are order-of-magnitude and inherit whatever Pq actually is. Also, the classifier record says 'limitations: none found' — that is wrong, the erratum states the limitation explicitly and it should be weighted. Who should read it: anyone working on vorticity, global polarization, or spin in the medium. This is the paper that opened that line. Send it out; referees should push on the magnitude and on the erratum's algebra, but the mechanism has earned the referee time.

Referee report

Significance

The qualitative mechanism is a genuinely new and falsifiable prediction for heavy-ion collisions: a global, reaction-plane-ordered quark polarization that survives into hyperons, thermal photons and dileptons, with a definite sign, a definite impact-parameter dependence, and the striking statement that particles and antiparticles are polarized identically. The prediction list (1)-(5) in the hadronization section is exactly the kind of sharp, experimentally checkable set of statements that makes the paper valuable, and the observation that the reaction-plane sign can be fixed via directed flow at large rapidity (footnote [12]) makes the measurement feasible. The spin-dependent cross section in Eqs. (5)-(7) is a standard and credible perturbative computation, and the geometric origin of the preferred direction is independent of the details of the parton interaction. The weakness is quantitative rather than structural: the paper's own erratum concedes that the small-angle approximation underlying Eq. (7) is not controlled at RHIC kinematics, so the quoted tens-of-percent magnitude does not follow from the calculation as performed.

Major objections (4)

[Erratum vs. body text; Eq. (8)/Eq. (11) and the hadronization section] The manuscript as submitted contains two mutually inconsistent magnitude claims and does not tell the reader which one stands. The body text following Eq. (8) still states 'Pq ~ -0.3' for semi-peripheral RHIC collisions, and the hadronization section still states 'According to our estimate following Eq. (8), this would be in the order of tens of a percent and the hyperons' polarization would be around the same order.' The appended erratum replaces both the formula and the numerical discussion, and explicitly concludes that 'for a reliable estimate of the quark polarization at RHIC, one needs to go beyond the approximation of small angle scattering.' A reader encountering the paper in its current form cannot determine whether the tens-of-percent number is a result of the paper or has been withdrawn. The erratum must be integrated into the body: Eq. (8) should be replaced by Eq. (11) in place, the paragraph following it rewritten, and the 'tens of a percent' sentence in the hadronization section either removed or restated as an upper bound contingent on a calculation the paper does not perform.
[Erratum, replacement text for the discussion following Eq. (8)] The replacement formula offered in the erratum, 'in the limit mq = 0 and p >> mu, one expects Pq = -pi*mu/2 Delta pz', is not consistent with Eq. (11) and does not yield a physical polarization. Eq. (11) at mq = 0 gives Pq = -pi*mu*p/(2E^2); with p = Delta pz/2 this scales as -pi*mu*Delta pz/(4E^2), i.e. it is proportional to Delta pz, whereas the erratum's expression is inversely proportional to Delta pz. The two agree only if E is of order Delta pz, which contradicts the stated limit p >> mu. Numerically, with mu = 0.5 GeV and Delta pz = 0.1 GeV the erratum's expression gives |Pq| of order ten, far outside the unit interval, which is unphysical for a polarization. The inequality in the stated limit also appears inverted relative to the original text, which considered mq = 0 and p << mu. This is a load-bearing error because the erratum's replacement paragraph is the paper's only attempt at a revised magnitude estimate; as written it supplies no usable number and should be corrected or deleted.
[Eqs. (5)-(7) and the paragraph following Eq. (8)] The derivation of the polarized cross section assumes qT, kT ~ mu << E, and Eq. (7) is obtained by expanding in that regime. The tens-of-percent polarization, however, requires E comparable to mu: Eq. (11) with p = Delta pz/2 = 0.05 GeV and mu = 0.5 GeV gives |Pq| ~ 0.04 (GeV/E)^2, i.e. about 16% only at E ~ mu and about 4% at E = 1 GeV, falling further at higher energy. The number the paper wants therefore lives precisely where the expansion used to derive it breaks down, which is what the erratum concedes. The consequence is not a caveat on an otherwise valid estimate but the absence of an estimate. The authors should either (a) evaluate Eq. (4) numerically without the small-angle expansion at the stated RHIC kinematics and report the resulting Pq with its uncertainty, or (b) explicitly withdraw the quantitative claim and retain only the sign, direction and impact-parameter dependence, which are robust. Option (b) would still leave a valuable paper, but the abstract and introduction should then not imply a magnitude.
[Paragraph following Eq. (8): 'Multiple scattering will further increase the polarization'] This sentence is asserted without support and is not obviously true. Multiple scattering with a fixed preferred direction can build up polarization, but scattering with impact parameters distributed about the preferred axis, together with the decrease of dpz/dx under transverse expansion noted earlier in the same paragraph, can also dilute it. No time scale for polarization build-up is compared with the QGP lifetime, and no relaxation rate is estimated. Since this sentence is the paper's only argument that the single-scattering result is a lower bound, it carries weight for the magnitude claim and should be either backed by an estimate (e.g. a rate equation for Pq with competing polarization and depolarization terms) or removed.

Minor objections (7)

[Erratum, Eq. (12) and preceding sentence] The non-relativistic limit is stated as 'mq << p, mu', but the formula Pq ~ -pi*mu*p/4m_q^2 is the mq >> p, mu limit. The inequality should be reversed.
[Eq. (4)] The notation in Eq. (4) is garbled in the current text: the factors written as 'A/(q_T)' and 'p/+ mq)A/(k_T)' do not read as standard slashed propagators, and the color factor CT is not defined explicitly. Please rewrite the amplitude in clean notation so that the spin-dependent term in Eq. (5) can be checked independently.
[Fig. 2 and its caption] The caption gives no axis labels or units, and the pronounced spikes at the edge of the overlap region are not identified there. The text explains that these are an artifact of the hard-sphere nuclear distribution; the caption should say so, and should state the units of both curves.
[Hadronization section, fragmentation formulas] The expressions P_Lambda = ns*Ps/(ns + 2fs), P_Sigma = (4fs*Pq - ns*Ps)/3(2fs + ns), P_Xi = (4ns*Ps - fs*Pq)/3(2ns + fs), P_Omega = Ps/3 are quoted without derivation. A short sentence explaining how they follow from the SU(6) wavefunction and the leading-quark picture, in parallel with the recombination case, would let the reader check the weighting by ns and fs.
[Abstract and paragraph on resonance decays] The statement that hadrons from polarized resonance decay produce 'an azimuthal asymmetry with respect to the reaction plane, similar to the asymmetry due to elliptic flow' invites confusion with v2 in an experimental context. Please add a sentence on how the two could be separated, for example through the different pT and rapidity dependence or through the requirement that the polarization-induced asymmetry reverses with the reaction-plane orientation.
[Eq. (3) and the estimate c(s) ~ 45] The value c(s) ~ 45 rests on the assumption of about two partons per (meson-dominated) hadron. Since dp0/dx and hence the whole magnitude scale linearly in c(s), please state how sensitive the quoted dp0/dx = 0.34 GeV/fm is to that assumption.
[Paragraph on hadronic interactions] The argument that scalar and interference terms cancel the vector-channel contribution in hyperon-pion scattering is qualitative and is deferred to future work. That is acceptable, but the sentence 'the net effect of hadronic interaction should be small' should be softened to reflect that no calculation is presented.

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The paper

The paper claims

Off-center nuclear collisions should leave the quark-gluon plasma globally spin-polarized, with hyperons polarized perpendicular to the reaction plane.

The reading

When two heavy nuclei collide off-center, the overlapping matter carries a large global orbital angular momentum pointing perpendicular to the reaction plane. Liang and Wang argue that because partons in the overlap region have a transverse gradient in their average longitudinal momentum, two scattering partons carry relative orbital angular momentum, and the spin-orbit coupling built into the QCD vector interaction converts that orbital angular momentum into a net quark spin alignment pointing opposite to the reaction plane. The result would be a globally polarized quark-gluon plasma, not a rotating one: the angular momentum shows up as spin, not as collective flow. If true, this gives a single mechanism behind a family of observables -- left-right asymmetries in hadron spectra, transverse polarization of thermal photons and dileptons, azimuthal asymmetries from decays of polarized resonances that mimic elliptic flow, and, most testably, a global transverse polarization of hyperons that vanishes in central collisions and grows with impact parameter.

What carries the argument

The load-bearing object is the spin-dependent part of the parton-scattering cross section in a screened potential, Eq. (7): $dDelta sigma/d^2x_T = -mu, vec{p}cdot(hat{x}_Ttimesvec{n}_b), E(E+m_q), 4C_Talpha_s^2 K_0(mu x_T)K_1(mu x_T)$, where $hat{x}_T$ is the direction of the parton impact parameter and $vec{n}_b$ the normal to the nuclear reaction plane. Its antisymmetric dependence on $hat{x}_T$ is what makes an unpolarized average vanish in isolation and a polarized average survive in a non-central collision: the nucleus-nucleus impact parameter supplies the preferred plane that the individual parton collision lacks. The same structure is what the authors identify with the classical spin-orbit energy $E_{LS}=(vec{L}cdotvec{S})(dV_0/dr)/(r m_q^2)$ in the non-relativistic limit, so the quantum cross section and the classical spin-orbit picture give the same sign and parametric size.

Extended reading notes

Core claim

The paper's claim is that parton scattering in a non-central heavy-ion collision polarizes quarks along the direction opposite to the reaction plane, $ -hat{y} = -vec{p}timesvec{b}/|vec{p}timesvec{b}| $, purely from spin-orbit coupling. The chain is: the participant distributions of projectile and target nucleons give an average longitudinal momentum per parton $p_z(x,b)$ that is odd in $x$ and in $b$, so its transverse gradient $dp_z/dx$ is large and roughly uniform across the overlap; partons separated by the interaction range then have relative longitudinal momentum and relative orbital angular momentum $L_y sim -(Delta x)^2 dp_z/dx$. Scattering in a screened static potential produces a spin-dependent piece of the cross section, Eq. (7), proportional to $vec{p}cdot(hat{x}_Ttimes vec{n}_b)$, which survives the average over parton impact-parameter directions only because the nuclear impact parameter picks out a preferred plane. Averaging gives a single-scattering quark polarization $P_q = -pi mu p / 2E(E+m_q)$ (the factor of 2 restored in the appended erratum), of order tens of percent for semi-peripheral collisions on the authors' estimate, with multiple scattering expected to increase it. The authors then propagate $P_q$ to hyperons in two hadronization pictures -- exclusive recombination with SU(6) wavefunctions, which gives $P_Lambda = P_s$, $P_Sigma = (4P_q - P_s - 3P_sP_q^2)/R_Sigma$ and so on, and fragmentation of polarized quarks, which gives smaller values weighted by strange-quark abundances -- and list qualitative predictions: hyperons and anti-hyperons polarized in the same direction, polarization vanishing at $b=0$ and rising roughly linearly with $b$, finite at low $p_T$ and at central rapidity, and no polarization for quarks far above $mu L_0$ in $p_T$.

Load-bearing premise

The magnitude rests on treating the polarization as arising from single small-angle scattering in a screened static potential, with the momentum transfer set by the transverse gradient of the average longitudinal momentum computed from a hard-sphere participant distribution; the appended erratum itself concedes that at RHIC this gives $Delta p_z sim 0.1$ GeV, much less than the screening scale $mu sim 0.5$ GeV, so that a reliable magnitude requires going beyond the small-angle approximation.

Editorial extensions

If this is right

Hyperons and anti-hyperons produced in non-central collisions should be transversely polarized in the same direction, perpendicular to the reaction plane, measurable through the parity-violating weak decay angular distribution $dN/dcostheta = 1 + alpha P_H costheta$.
The polarization should vanish in central collisions and increase approximately linearly with impact parameter in semi-central collisions, giving a characteristic centrality dependence.
Thermal photons, dileptons and spin-carrying hadrons should show global transverse polarization, and hadrons from strong decays of polarized resonances should show an azimuthal asymmetry about the reaction plane similar in character to elliptic flow.
Hadronic final-state rescattering is argued to be a small correction, because the vector channel of hyperon-pion scattering polarizes along the quark-polarization direction while the scalar channel and interference terms point the other way and partially cancel, and because transverse expansion has already flattened the longitudinal-momentum gradient.
The effect should be small at high $p_T$, where quarks carry too much momentum relative to the screening scale to be polarized, but may persist at moderate $p_T$ through recombination of a polarized thermal quark with an unpolarized hard quark.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

Because the predicted polarization is even in the sign of the beam direction but odd in the sign of the impact parameter, the measurement needs an event-by-event reaction-plane orientation; the authors point to directed flow at forward rapidity as the way to fix it, which makes the observation a joint polarization-plus-flow analysis rather than a standalone spin measurement.
The same-sign prediction for hyperons and anti-hyperons is a clean discriminator against polarization mechanisms driven by the transient magnetic field, which would polarize particles and antiparticles in opposite directions; a measured sign pattern therefore separates spin-orbit from electromagnetic origins independently of the magnitude.
If the mechanism is real, it should also operate at lower collision energies and in smaller systems, where $dp_z/dx$ and the screening scale differ; a beam-energy scan of the hyperon polarization relative to the reaction plane would test whether the effect tracks the longitudinal-momentum gradient as claimed rather than the magnetic field or vorticity.
The erratum's own concession that $Delta p_z sim 0.1$ GeV is well below $mu sim 0.5$ GeV means the quantitative prediction is currently open: a full treatment beyond small-angle scattering, or a transport calculation of the polarization rate, is what would turn the sign prediction into a number that experiment can confirm or exclude.

Original abstract

Produced partons have large local relative orbital angular momentum along the direction opposite to the reaction plane in the early stage of non-central heavy-ion collisions. Parton scattering is shown to polarize quarks along the same direction due to spin-orbital coupling. Such global quark polarization will lead to many observable consequences, such as left-right asymmetry of hadron spectra, global transverse polarization of thermal photons, dileptons and hadrons. Hadrons from the decay of polarized resonances will have azimuthal asymmetry similar to the elliptic flow. Global hyperon polarization is predicted within different hadronization scenarios and can be easily tested.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,237 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.06 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v5. Results and the main claim are underlined; show every role.

Produced partons have large local relative orbital angular momentum along the direction opposite to the reaction plane in the early stage of non-central heavy-ion collisions. Parton scattering is shown to polarize quarks along the same direction due to spin-orbital coupling. Such global quark polarization will lead to many observable consequences, such as left-right asymmetry of hadron spectra, global transverse polarization of thermal photons, dileptons and hadrons. Hadrons from the decay of polarized resonances will have azimuthal asymmetry similar to the elliptic flow. Global hyperon polarization is predicted within different hadronization scenarios and can be easily tested.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Produced partons have large local relative orbital angular momentum along the direction opposite to the reaction plane in the early stage of non-central heavy-ion collisions.	result 0.87	0.46	0.12	asserted 1.00
s1	Parton scattering is shown to polarize quarks along the same direction due to spin-orbital coupling.	result 0.85	0.71	0.19	asserted 1.00
s2	Such global quark polarization will lead to many observable consequences, such as left-right asymmetry of hadron spectra, global transverse polarization of thermal photons, dileptons and hadrons.	interpretation 0.96	0.43	0.46	asserted 0.72
s3	Hadrons from the decay of polarized resonances will have azimuthal asymmetry similar to the elliptic flow.	result 0.50	0.41	0.08	asserted 0.96
s4	Global hyperon polarization is predicted within different hadronization scenarios and can be easily tested.	result 0.78	0.58	0.27	asserted 0.76

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from argument 0.76.

What was examined, and what was not

sources read

arXiv listing abstract v5

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures

**Figure 1.** FIG. 1: Illustration of non-central heavy-ion collisions w

Showing 1 of the paper's 2 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:nucl-th/0410079 by the authors.

References

Works cited (17)

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as well as twist-3 parton correlations in nucleons [7]. It has also been suggested [8, 9] that hyperon polarization could disappear due to the formation of QGP. In this Letter, we show that parton interaction in non- central heavy-ion collisions leads to a global quark polar- ization along the opposite direction of the reaction plane, ⃗ nb = ⃗ p× ⃗b/|⃗ p×...

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[7]

J. C. Collins, Nucl. Phys. B 396, 161 (1993)

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[8]

J. W. Qiu and G. Sterman, Phys. Rev. D 59, 014004 (1999)

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R. Stock et al. , Proc. of the Conference on Quark Matter Formation and Heavy-ion Collisions, eds. M. Jacob and H. Satz, World Scientiﬁc, Singapore, 1982

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[11]

B. B. Back et al. , arXiv:nucl-ex/0301017

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[13]

Experimental measurement of hyperon polarization re- lies on the self-analyzing power of the parity violat- ing weak decay, which produces an angular distribution, dN/d cos θ = 1 + αPH cos θ, for the decay products with respect to polarization direction, where α is a measured constant. It is clear that measurement of global hyperon polarization requires t...

View on Pith
[14]

J. Adams et al. , Phys. Rev. Lett. 92, 062301 (2004)

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[15]

D. Buskulic et al. , Phys. Lett. B 374, 319 (1996); K. Ack- 5 erstaﬀ et al. , Eur. Phys. J. C 2, 49 (1998)

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[17]

C. C. Barros and Y. Hama, Phys. Rev. C 63, 065203 (2001). Erratum After the publication of the manuscript, we found a factor of 2 missing from Eqs. (8) and (9). Therefore the global quark polarization in Eq. (8) should be Pq = −πµp/2E(E + mq). (11) In the non-relativistic limit for massive quarks, mq ≪ p,µ, the polarization becomes [Eq. (9)], Pq ≈ −πµp/4m...

View on Pith 2001

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Spectral Functions of $J/\psi$ Meson in Rotating Thermal Background from Holography
hep-th 2026-08 conditional novelty 6.0 of 10

In a rotating thermal medium modeled by soft-wall holography, J/ψ spectral peaks split by −ΩJ_z along the rotation axis and acquire projection-dependent distortions for transverse momentum.
CLVisc Agent for autonomous relativistic hydrodynamics studies
nucl-th 2026-07 conditional novelty 6.0 of 10

An LLM agent autonomously created a CLVisc skill and ran two hydrodynamic studies, finding that the high-temperature branch of η/s dominates flow suppression and that PGCM-uniform 16O decouples ellipticity from size.
Vector-Meson Spin Alignment from Anisotropic Quark or Hadron Coalescence
hep-ph 2026-07 conditional novelty 6.0 of 10

Anisotropic quark or hadron coalescence in heavy-ion collisions generates vector-meson spin alignment whose sign distinguishes bare-vector from spin-orbit-coupled production vertices.
Probing Quantum Numbers and Decay Branching Ratios of Exotic States via Entanglement-Enabled Spin Interference
hep-ph 2026-06 unverdicted novelty 6.0 of 10

Simulated spin-interference patterns in ρ(1450)→4π decays give a distinct azimuthal modulation for the π(1300)π channel, allowing its branching fraction to be extracted.
Polarization, Maximal Concurrence, and Pure States in High-Energy Collisions
hep-ph 2026-04 unverdicted novelty 6.0 of 10

Local spin polarization imposes an upper bound on concurrence in two-qubit systems that is saturated by pure states, and this bound lowers maximal entanglement in the polarized e+e- to Z to qqbar process relative to t...
Covariant equations of motion of massive spinning particles in a background Yang-Mills field
nucl-th 2025-11 conditional novelty 6.0 of 10

A spinning quark in a background Yang-Mills field obeys a new, constraint-preserving, gauge-invariant set of classical equations of motion that reduce to the Wong equations when spin effects are turned off.
Is the shear induced spin polarization non-dissipative?
hep-ph 2025-07 conditional novelty 6.0 of 10

Shear-induced spin polarization leaves the momentum-integrated entropy production rate unchanged in chiral kinetic theory, but Zubarev's linear response suggests a dissipative origin.
Relativistic spin hydrodynamics with antisymmetric spin tensors and an extension of the Bargmann-Michel-Telegdi equation
nucl-th 2025-06 conditional novelty 6.0 of 10

A new entropy-principle formulation of relativistic spin hydrodynamics yields a modified BMT spin evolution equation and spin-induced transport corrections that map onto inverse and anomalous Hall effects.
The Gilbert Damping Factor of Heavy Quark Spin Polarization in the Magnetic Field
nucl-th 2025-05 reject novelty 6.0 of 10

The paper derives an expression for the heavy quark Gilbert damping factor from linear response theory and a screened Coulomb potential, finding alpha below 0.1 for charm quarks.
Strong Coupling Expansion of Gluodynamics on a Lattice under Rotation
hep-ph 2025-05 conditional novelty 6.0 of 10

A strong-coupling expansion on a rotating lattice gives a deconfinement temperature that decreases with angular velocity, contradicting lattice QCD simulations, alongside a general thermodynamic formula for the shift.
Phenomenology of baryon dynamics with directed flow in relativistic heavy-ion collisions
nucl-th 2025-05 conditional novelty 6.0 of 10

A two-component initial baryon deposition model plus hydrodynamics reproduces baryon-antibaryon directed flow splitting across sqrt(sNN) = 7.7 to 200 GeV and yields a model-based baryon diffusion coefficient.
Generalized relativistic second-order spin hydrodynamics from Zubarev's non-equilibrium statistical operator
nucl-th 2025-05 conditional novelty 6.0 of 10

Second-order spin hydrodynamics is extended with nonlocal memory corrections, adding new acceleration-dependent terms to diffusion, rotational stress, and heat-current equations.
Gluon polarization contribution to the spin alignment of vector mesons from holography
hep-ph 2025-01 conditional novelty 6.0 of 10

A soft-wall holographic QCD model with a rotation-dependent gluon field predicts that rotation enhances the spin alignment of phi and rho mesons at high pT while J/psi stays nearly unaffected.
Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
hep-ph 2024-12 conditional novelty 6.0 of 10

Vector meson spin alignment at local equilibrium is shown to arise only at second order in thermodynamic gradients, with explicit analytic formulas for the contributing terms.
Spin alignment of vector mesons in local equilibrium by Zubarev's approach
hep-ph 2024-12 conditional novelty 6.0 of 10

The spin alignment rho00-1/3 vanishes at first order in gradients in local equilibrium, with nonzero contributions first appearing at second order, in a pseudo-gauge dependent way.
Spin alignment of vector mesons in heavy-ion collisions
nucl-th 2022-05 conditional novelty 6.0 of 10

Anisotropic fluctuations of the phi meson field can produce the observed spin alignment of phi mesons in heavy-ion collisions, with fluctuation strengths extracted from STAR data and falsifiable predictions for moment...
Polarization of $\Lambda$ and $\overline{\Lambda}$ hyperons along the beam direction in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV
nucl-ex 2021-07 accept novelty 6.0 of 10

Lambda and anti-Lambda hyperons produced in Pb-Pb collisions at 5.02 TeV show a positive second-harmonic longitudinal polarization Pz,s2 of order 0.1-0.4%, the first non-zero beam-direction hyperon polarization seen a...
Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
hep-th 2020-11 conditional novelty 6.0 of 10

Five relations among second-order hydrodynamic transport coefficients follow from the second law near uniform rotation, and ideal spin hydrodynamics is shown to be equivalent to conventional hydrodynamics carrying exa...
Generating spin polarization from vorticity through nonlocal collisions
hep-ph 2020-05 conditional novelty 6.0 of 10

A first-principles derivation shows that nonlocal collisions convert orbital angular momentum into spin, and that the spin potential equals the thermal vorticity in global equilibrium.
Relativistic dissipative spin dynamics in the relaxation time approximation
hep-ph 2020-02 conditional novelty 6.0 of 10

The paper derives non-equilibrium corrections to the relativistic spin tensor within a relaxation-time kinetic theory and enumerates, for the first time, the tensor structures of spin transport coefficients.
Effective quantum kinetic theory for spin transport of fermions with collsional effects
hep-ph 2020-02 conditional novelty 6.0 of 10

A systematic power-counting scheme yields collision terms for the axial kinetic theory of massive fermions, separating spin diffusion from spin polarization and reproducing the chiral kinetic theory in the massless limit.
Evidence of spin-orbital angular momentum interactions in relativistic heavy-ion collisions
nucl-ex 2019-10 conditional novelty 6.0 of 10

Vector mesons produced in Pb-Pb collisions at the LHC show spin alignment at low transverse momentum, with rho00 below 1/3 at 3 sigma for K*0 and 2 sigma for phi.
Global polarization of $\Lambda$ and $\overline{\Lambda}$ hyperons in Pb-Pb collisions at the LHC
nucl-ex 2019-09 accept novelty 6.0 of 10

Global polarization of Lambda and anti-Lambda hyperons in Pb-Pb collisions at 2.76 and 5.02 TeV is consistent with zero, with an average of about 0.01 percent plus or minus 0.06 percent statistical uncertainty.
Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
hep-ph 2019-03 conditional novelty 6.0 of 10

A Wigner-function derivation yields coupled scalar and axial-vector kinetic equations for arbitrary-mass fermions that reduce to chiral kinetic theory in the massless limit.
Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
hep-ph 2019-02 accept novelty 6.0 of 10

Starting from the Wigner function, the authors derive a generalized Boltzmann equation for massive spin-1/2 particles in which the spin dipole feels a Mathisson force from field gradients, and check the massless limit...
Thermodynamic versus kinetic approach to polarization-vorticity coupling
hep-ph 2018-06 accept novelty 6.0 of 10

Collisionless kinetic theory for spin-1/2 particles constrains spin polarization and thermal vorticity only to both be constant in global equilibrium, not to be equal.
Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
nucl-th 2016-10 accept novelty 6.0 of 10

Decays of heavier resonances into Lambda hyperons dilute measured global polarization by about 20 percent and can fake a Lambda/anti-Lambda splitting of the opposite sign to the magnetic-field effect.
Vortical fluid and $\Lambda$ spin correlations in high-energy heavy-ion collisions
hep-ph 2016-05 conditional novelty 6.0 of 10

Event-by-event viscous hydrodynamic simulations predict that two-Lambda spin correlations in azimuthal angle carry a cosine-shaped transverse component and a sign-changing longitudinal component tracing vortex pairs i...
Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
hep-ph 2010-09 conditional novelty 6.0 of 10

The ratio of electric charge to baryon current is about 5 for the chiral magnetic effect and 1/2 for the chiral vortical effect with two light flavors, giving experiments a way to distinguish them.
Second-order evolution of spin shear tensor for massive spin-1/2 particles
hep-ph 2026-11 conditional novelty 5.0 of 10

A relaxation-type second-order equation for the spin-shear tensor is derived from semi-classical kinetic theory, together with a new set of transport coefficients expressed through thermodynamic integrals.
The role of spin polarization in event-by-event fluctuations
nucl-th 2026-10 conditional novelty 5.0 of 10

Including spin polarization from thermal vorticity and thermal shear in an AMPT simulation splits the asymmetry fluctuations and the eccentricity-asymmetry correlation ratios away from spinless values, with system-siz...
Minimal-Length Corrections to Hyperon Polarization in Rotating Quark Gluon Plasma
hep-ph 2026-10 conditional novelty 5.0 of 10

In a scalar-GUP model, the hyperon polarization correction survives only as a Cooper-Frye freeze-out covariance of the LRF momentum invariant with the spin kernel, while the local contribution cancels exactly.
Elliptic flow in an expanding and rotating fireball
nucl-th 2026-09 conditional novelty 5.0 of 10

In a rotating blast-wave fireball model, spin from the orbital angular momentum of off-central heavy-ion collisions adds roughly 2 to 10 percent to elliptic flow, with anisotropic expansion remaining the dominant source.
Initial-state control of vorticity--shear competition in longitudinal $\Lambda$ polarization in Pb--Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.36\,\mathrm{TeV}$
hep-ph 2026-09 conditional novelty 5.0 of 10

In ideal hydrodynamics with the isothermal local-equilibrium formula, the second sine harmonic of longitudinal Lambda polarization is positive because kinematic shear beats kinematic vorticity, and its sign can be fli...
Pseudo-Gauge Stabilizers and Fibration Structure of the Cooper--Frye Map at Freeze-Out
hep-th 2026-05 unverdicted novelty 5.0 of 10

The Cooper-Frye map at freeze-out admits a stratified fibration induced by pseudo-gauge stabilizers, classifying observables and recovering the Belinfante-canonical obstruction.
Heavy quark polarization anisotropy as a novel probe of fireball geometry
hep-ph 2026-01 reject novelty 5.0 of 10

Heavy-flavor polarization harmonics are introduced as observables whose Fourier coefficients are claimed to be proportional to the initial fireball spatial eccentricities.
Exploring Data-Driven Corrections for $\phi$-Meson Global Spin Alignment Measurements
nucl-ex 2025-08 unverdicted novelty 5.0 of 10

A data-driven correction built from combinatorial kaon pairs inside the phi mass window is tested with toy Monte Carlo, showing partial success and clear shortcomings.
Impact of Tracking Resolutions on $\phi$-Meson Spin Alignment Measurement
physics.data-an 2025-02 conditional novelty 5.0 of 10

Track angular and momentum resolutions shift the extracted phi-meson spin alignment parameter rho_00 by less than 0.0005 in STAR-like toy-model simulations, though the invariant-mass method's conversion formula is wrong.
Effect of Coriolis Force on Diffusion of D Meson
hep-ph 2024-11 conditional novelty 5.0 of 10

D meson spatial diffusion in a rotating hadron gas becomes anisotropic, with perpendicular and Hall components controlled by the Coriolis force and the ratio of relaxation time to rotation time.
Measurement of the J/$\psi$ polarization with respect to the event plane in Pb-Pb collisions at the LHC
nucl-ex 2022-04 conditional novelty 5.0 of 10

Inclusive J/psi mesons in Pb-Pb collisions at 5.02 TeV show a small transverse polarization with respect to the event plane, reaching 3.9 sigma at low pT and 30-50% centrality.

See all 92 Pith citations

How later papers used it

199 later papers cite it

Evidence: substantial. 186 of the citing papers share no author with it, and 5 of those carry a confident label from Pith's citation classifier.

Pith read 12 of the 273 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

1 paper by the same authors is listed below: 1 built on it.

Builds on it 1 paper · 1 by the same authors

By the same authors

Extended this paper's calculation of quark polarization beyond the small angle approximation using the HTL resummed gluon propagator in the comoving frame of the local longitudinal fluid cell.

Global quark polarization in non-central $A+A$ collisions (2007) (same authors) · 1.00 · paraphrased: the licence does not allow quoting

How the literature uses it

169 arXiv papers cite this in 239 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 137 sentences without a confident label

Contests it 1 paper

This figure should be taken as an illustration for the sensitivity of the polarization measure to the longitudinal structure of the initial condition, rather than as a prediction of the polarization in the two models (as shown in Ref. [ref] , the small-angle approximation used in Ref. [ref] is in any case likely to be inappropriate).

Jet Propagation and Mach-Cone Formation in (3+1)-dimensional Ideal Hydrodynamics · Initial Conditions and Reaction-Plane Polarization · contest 0.75

Builds on it 1 paper

In Sec. III, we use the Hard Thermal Loop (HTL) resummed gluon propagator in the comoving frame of the local longitudinal fluid cell to extend the calculation of quark polarization in Ref. [ref] beyond small angle approximation and discuss the relative contributions from electric and magnetic part of quark-quark scattering.

Global quark polarization in non-central $A+A$ collisions · Introduction · 1.00

Uses its method or tool 1 paper

A simple estimate was given in Ref. [ref] , using a screened static potential model and small angle approximation.

Global quark polarization in non-central $A+A$ collisions · Quark scattering at fixed impact parameter · 0.81

Compares with it 2 papers

Using Eqs. ([ref]) and ([ref]), we recover the results in Ref. [ref] , [equation] [equation]

Global quark polarization in non-central $A+A$ collisions · Small angle approximation · 0.86
The result shows that the spin-dependent part of the cross section is proportional to the spin-orbit coupling, which qualitatively agrees with the result obtained by the potential model [ref] .

Global polarization and spin alignment in heavy-ion collisions: past, present and future · Global polarization · 0.99

Cites it as support 2 papers

The main motivation is that the nonzero angular momentum is detected in non-central heavy ion collisions and a large portion of angular momentum can be transferred to the QGP medium [ref] .

Heavy quarkonium spectral function in the spinning black hole background · Introduction · 0.99
We think that also this part of the study motivates the relevance of helical matter for the quark-gluon plasma produced in high energy nuclear collisions, due to the vorticity produced in the collisions [ref] that enhances the fluctuations of $n_H$.

The Chiral Phase Transitions of Helical Matter · Introduction · 0.97

Cites it as background 83 papers

It was proposed in Ref. [ref] that a global hyperon polarization could be induced along the direction of the initial OAM (perpendicular to the reaction plane spanned by the beam direction and impact parameter) as an observable.

Initial Baryon Stopping and Angular Momentum in Heavy-Ion Collisions · Introduction · 0.85
Various theoretical models have been proposed to describe the global polarization effect [ref] .

Quark polarization from parton scatterings in heavy ion collisions · Introduction · 0.95
For example, Liang and Wang in 2005 predicted the global spin polarization for the final-state hyperons [ref] as well as vector meson spin alignment [ref] .

Chiral phase transition and spin alignment of vector meson in the Polarized-Polyakov-loop Nambu-Jona-Lasinio model under rotation · Introduction · 0.92

Discussion

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Experimental measurement of hyperon polarization re- lies on the self-analyzing power of the parity violat- ing weak decay, which produces an angular distribution, dN/d cos θ = 1 + αPH cos θ, for the decay products with respect to polarization direction, where α is a measured constant. It is clear that measurement of global hyperon polarization requires t...

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C. C. Barros and Y. Hama, Phys. Rev. C 63, 065203 (2001). Erratum After the publication of the manuscript, we found a factor of 2 missing from Eqs. (8) and (9). Therefore the global quark polarization in Eq. (8) should be Pq = −πµp/2E(E + mq). (11) In the non-relativistic limit for massive quarks, mq ≪ p,µ, the polarization becomes [Eq. (9)], Pq ≈ −πµp/4m...

View on Pith 2001