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REVIEW 4 major objections 6 minor 97 references

In dense baryonic matter relevant to future compressed-baryon collisions, D mesons diffuse as much as twenty times slower than in baryon-free hadronic gas, with the scaled diffusion coefficient approaching the strong-coupling (AdS/CFT) boun

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T0 review · deepseek-v4-flash

2026-08-02 02:53 UTC pith:MLXMG64K

load-bearing objection Honest RTA extension to dense baryonic matter, but the high-density 'degenerate' branch is a tuned ansatz—Eq. (35) without derivation and A=12 chosen to keep 2πT D_s ≥ 1—so treat the headline numbers as exploratory. the 4 major comments →

arxiv 2607.14058 v1 pith:MLXMG64K submitted 2026-07-15 nucl-th hep-ph

Towards compressed baryonic matter densities: D meson diffusion

classification nucl-th hep-ph
keywords D mesonspatial diffusion coefficientheavy flavor transportrelaxation time approximationdegenerate Fermi gaschiral SU(3) hadronic modelcompressed baryonic matterPauli blocking
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper tries to establish how D mesons — charmed particles — diffuse through nuclear matter that is squeezed to several times its normal density, the regime expected in compressed-baryon collision experiments. Using the kinetic-theory relaxation-time approximation with in-medium D meson masses from a chiral SU(3) mean-field hadronic model, the authors model the collision rate two ways: a dilute-gas hard-sphere formula at low baryon density and a degenerate Fermi-gas formula at high density. They find that the scaled spatial diffusion coefficient 2πT D_s drops rapidly at low density and then mildly at high density, from about 100 at 0.1 times nuclear saturation density to about 4–5 at four times saturation, with a shallow minimum in the degenerate branch. If correct, this means charmed mesons in baryon-rich matter are much more strongly coupled than in baryon-free hadronic gas, approaching the AdS/CFT strong-coupling lower bound, which would show up in heavy-flavor flow and nuclear suppression at future facilities.

Core claim

The paper claims that D mesons diffusing through dense baryonic matter experience a rapid drop in spatial diffusion at low baryon density and a mild drop at high density, with a shallow minimum in the degenerate branch. Using relaxation-time kinetics with in-medium D meson masses from a chiral SU(3) mean-field model, the scaled coefficient 2πT D_s falls from ≈100 at ρ_B/ρ_0 ≈ 0.1 to ≈4–5 at ρ_B/ρ_0 ≈ 4 for T = 20–150 MeV. In-medium mass reduction and isospin splitting of the D0/D+ and Dbar0/D- follow from attractive Weinberg-Tomozawa and scalar terms. Momentum drag and momentum diffusion mirror this pattern. The authors present this as the first systematic RTA map of D-meson diffusion along

What carries the argument

The argument rests on three pieces: the Einstein-type relation D_s = σ_D/χ_D, where conductivity and susceptibility are thermal integrals weighted by the D meson relaxation time τ_c; the chiral SU(3) mean-field hadronic model that supplies in-medium D meson masses and nucleon densities entering the D meson self-energy; and two relaxation-time parametrizations — the dilute-gas hard-sphere form τ_c^(a) = 1/(nσ_a⟨v⟩) with a = 0.8 fm, and the degenerate Fermi-gas form τ_c^(b) = (m*_D/T) μ*_N(0)/(A T^2) with A = 12, encoding Pauli blocking. The paper switches between these fits to map the dilute-to-degenerate transition.

Load-bearing premise

The high-density branch of the result rests on a relaxation-time formula, τ_c = (m*_D/T) μ*_N(0)/(A T^2), whose constant A is chosen by hand to be 12 (out of the allowed 1–100 range) solely to respect the bound 2πT D_s ≥ 1; the paper provides no derivation of this formula or its coefficient.

What would settle it

A measurement or lattice computation of D-meson spatial diffusion in baryon-rich matter at 2–4 times nuclear saturation that gives 2πT D_s well above ~20 would falsify the claim; more narrowly, a first-principles calculation of the nucleon Fermi-liquid relaxation time that yields A ≫ 12 (e.g., A ~ 100) would eliminate the shallow minimum and push D_s up, contradicting the paper's degenerate-branch curve.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • If the D meson diffusion coefficient indeed nears 2πT D_s ~ 4–5 at densities of 2–4 ρ_0, compressed baryonic matter behaves as a nearly perfect fluid from the heavy-flavor perspective, and charmed hadrons will thermalize faster than expected in baryon-free matter.
  • The dilute-to-degenerate transition leaves a characteristic fingerprint: a rapid drop in D_s at sub-saturation densities followed by a mild decrease and a shallow minimum above saturation, mirrored by a peak in the momentum drag and diffusion coefficients.
  • Isospin asymmetry splits the diffusion coefficients of the four D-meson species at densities beyond saturation, and larger asymmetry shifts the minimum to lower density — a signal that could be probed in neutron-rich collision systems.
  • The T^-2 scaling of the degenerate relaxation time implies that at high baryon density the scaled coefficient 2πT D_s is approximately temperature-independent, giving a testable prediction across the 20–150 MeV temperature window.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The constant A in the degenerate relaxation time is fixed by hand to 12 (within the allowed 1–100 range) purely to keep 2πT D_s ≥ 1; the paper does not derive A from the chiral model. A microscopic calculation of the nucleon quasi-particle width in the Fermi sea would replace this input and could move or erase the degenerate-branch minimum.
  • The paper switches between two distinct relaxation-time formulas rather than using a single rate with Pauli blocking; one could construct a unified expression τ_c^{-1} from nucleon-nucleon phase space with a blocking factor (1 - f_N)(1 - f_{N'}) and check whether it interpolates smoothly between the dilute and degenerate branches shown in Fig. 4.
  • A direct consequence of the T^-2 scaling that the authors do not emphasize: at high density and fixed ρ_B, 2πT D_s should flatten to a near-constant, so measurements of D_s at two different temperatures (e.g., 50 and 150 MeV at ρ_B = 3ρ_0) would cleanly distinguish the degenerate-gas model from the dilute-gas model.
  • The in-medium mass drop of the D meson (down to ~1.4 GeV at 4ρ_0) is a large effect; if confirmed, it also shifts the D meson yield in heavy-ion collisions near threshold and would be visible as a downward shift of the charmed-meson invariant-mass spectrum.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

4 major / 6 minor

Summary. The manuscript computes the spatial diffusion coefficient and related momentum transport coefficients of D mesons in baryon-rich hadronic matter, motivated by CBM/FAIR conditions. The formalism combines the relaxation-time approximation of kinetic theory with the chiral SU(3) mean-field model for in-medium D-meson masses. The relaxation time is modeled by two separate parametrizations: a dilute hard-sphere gas, τ_c = 1/(nσ⟨v⟩), and a degenerate Fermi-liquid-like form, τ_c^(b) = (m*_D/T) μ*_N(0)/(A T^2). The paper reports that 2πT D_s decreases rapidly with baryon density in the low-density dilute branch and mildly in the high-density degenerate branch, with a shallow minimum at large ρ_B/ρ_0, and compares the results with earlier hadronic-medium estimates and with the AdS/CFT line 2πT D_s = 1.

Significance. The question addressed—open-charm diffusion in compressed baryonic matter—is timely, and the paper uses a respected effective model and standard kinetic-theory machinery for the low-density part. The in-medium mass calculation and the conductivity/susceptibility framework are standard. However, the high-density part of the central claim rests on an un-derived relaxation-time ansatz whose free constant A is chosen to keep the result above the holographic bound. As presented, the model is not predictive in the regime that constitutes the paper's main novelty. The paper would be a useful contribution if Eq. (35) were derived from a microscopic D–nucleon interaction or if the high-density results were explicitly reframed as an illustrative sensitivity study rather than a quantitative prediction.

major comments (4)
  1. [Sec. III, Eq. (35) and footnote 2] The degenerate-branch relaxation time τ_c^(b) = (m*_D/T) \barτ_{c,N} is asserted without derivation. Since D_s is proportional to τ_c, the constant A directly sets the overall scale of 2πT D_s. Footnote 2 states that A can range from 1 to 100 and that A=12 is chosen “as a value on the lower end that satisfies 2πT D_s ≥ 1.” Thus the absolute values in Fig. 4 are not predictions: with A=100 the high-density values would fall below the AdS/CFT bound, and with A=1 they would be twelve times larger. The qualitative shape may survive, but the quantitative claim and the comparison with the holographic bound are inputs, not outputs. A derivation of τ_c^(b) or a systematic A-scan with appropriately reframed conclusions is required.
  2. [Sec. III, Eqs. (33)–(35)] The form τ_{c,N} = μ*_N(0)/(A T^2) is transplanted from condensed-matter Fermi-liquid theory, and the extension to nucleons and then to D mesons via multiplication by m*_D/T is not justified. The cited references [88–96] concern nucleon–nucleon collision rates, not D–nucleon scattering. Because m*_D(ρ_B) decreases with density while μ*_N(0)(ρ_B) increases, the product m*_D μ*_N(0) can produce the minimum seen in Fig. 4; this minimum is therefore inherited from an assumed kinematic factor rather than from a calculated D–nucleon collision rate. Without a microscopic derivation, the high-density “mild decrease plus minimum” part of the abstract has no independent support.
  3. [Sec. III and Fig. 3 caption] The paper uses two different D–nucleon scattering lengths without clarification. Fig. 3 states that the solid line is computed with an average scattering length a=1.8 fm, while Sec. III states “We have taken scattering length a=0.8 fm.” In the hard-sphere model D_s ∝ 1/(nπa^2⟨v⟩), so this is a factor (1.8/0.8)^2 ≈ 5 in D_s. The authors must specify which value enters Figs. 4–7 and in the comparison plot of Fig. 3, and correct the inconsistency.
  4. [Sec. III, “dilute-to-degenerate transition”] The paper describes a “dilute-to-degenerate gas transition” but never derives or defines a crossover between Eq. (30) and Eq. (35). The two curves are simply plotted on the same axes, with the reader invited to switch regimes at some density. The abstract’s claim that the diffusion coefficient decreases rapidly at low density and mildly at high density is therefore a juxtaposition of two separate model assumptions, not an emergent result of a single calculation. A density-dependent interpolation (e.g., a Pauli-blocking factor) or, at minimum, a clear validity criterion for each regime is needed.
minor comments (6)
  1. [Eq. (9)] The denominator reads d^3p/(π)^3; it should be d^3p/(2π)^3.
  2. [Eq. (25)] The energy in the scalar-density integrand is written E^*_i(p); it should be E^*_N(p) for consistency.
  3. [Fig. 3 and Ref. [87]] The AdS/CFT bound 2πT D_s = 1 is cited to Policastro et al. [87], which is the shear-viscosity paper; the heavy-quark diffusion bound is usually attributed to holographic calculations of heavy-quark diffusion (e.g., Casalderrey-Solana and Teaney). Please cite the appropriate source.
  4. [Sec. III, first paragraph] The phrase “first systematic estimation” and the later “first to address this dilute-to-degenerate transition profile” are overclaims; finite-baryon-density D-meson transport has been studied in Refs. [24,26,27,29,33]. The novelty should be stated more modestly.
  5. [Ref. [88]] Ref. [88] is a condensed-matter textbook; if Eq. (33) is taken from it, please give the specific formula/page and justify its transfer to nuclear matter with the chiral mean-field model.
  6. [Throughout] The notation c in ζ_c is never defined; also, “1st range term” should be “first range term.” Minor language issues such as “Reader can look into Refs.” can be polished.

Circularity Check

2 steps flagged

Degenerate-branch D_s profile is largely an input constraint: A is dialed to enforce 2πT D_s ≥ 1 and Eq. (35) is an un-derived ansatz.

specific steps
  1. fitted input called prediction [Sec. III (Results), Eq. (33) and footnote 2, p. 8]
    "According to Ref. [88], the dimensionless number A can take any value within the range 1–100 for a degenerate Fermi gas system. We have chosen 12 as a value on the lower end that satisfies 2πT Ds ≥1."

    D_s is computed from τ_c via Eqs. (10)–(11), and τ_{c,N} in Eq. (33) is inversely proportional to A. In the degenerate branch, 2πT D_s reduces to roughly (2π/A)(μ*_N(0)/T) after Eq. (35) and the RTA relation D_s ≈ T τ_c/m*_D. Thus choosing A=12 directly fixes the scale of the headline values (2πT D_s ~ 4–5 in Fig. 4). A=100 would push the same formula below the AdS/CFT bound and A=1 would place it far above; the near-bound values are therefore an input dial, not a derived prediction.

  2. fitted input called prediction [Sec. III, Eqs. (30)–(35) and Fig. 4 discussion]
    "And to inspect this critically we simultaneously use two fits — one corresponding to a dilute (ideal) gas and the other a degenerate Fermi liquid — to model the nuclear medium and thus the relaxation time of the D meson in the medium."

    The abstract's central trend — 'decrease rapidly in the low density dilute gas domain and mildly in the high density degenerate gas domain' — is the density dependence already written into the two fitted relaxation times: τ_c^(a)∝1/(nσv) forces the 1/n fall-off of the dilute branch, while τ_c^(b)∝m*_D μ*_N(0)/(A T^3) forces the degenerate branch to track the chiral-model μ*_N(0) profile. The paper derives D_s from these τ_c choices but does not derive τ_c from the chiral SU(3) Lagrangian; the 'rapid-to-mild transition' is therefore a repackaging of the assumed collision-time model rather than a consequence of the transport framework.

full rationale

Much of the formal chain is self-contained: D_s is obtained from the conductivity-susceptibility ratio with integrals over Bose-Einstein distributions (Eqs. 9–11), and the in-medium D-meson masses and effective chemical potentials come from solving the chiral SU(3) mean-field equations (Eqs. 18–29), not from assuming the final answer. The dilute-branch hard-sphere relaxation time (Eq. 30, a=0.8 fm) is also a model input, but an independent physical parameter. The circularity is concentrated in the degenerate branch. Eq. (33) imports a Fermi-liquid relaxation-time formula; footnote 2 transparently chooses A=12 to satisfy 2πT D_s ≥1; and Eq. (35) is an un-derived bridge from nucleon to D-meson relaxation time. Since D_s is proportional to τ_c, those choices directly set both the absolute scale (through A) and the density shape (through μ*_N(0)) of the headline high-density result. The paper's own wording, 'we simultaneously use two fits,' confirms that the dilute/degenerate branches are parametrizations rather than derived predictions. Thus the claim that 2πT D_s 'mildly decreases' and sits near 4–5 in the compressed-baryonic-matter domain is substantially an input constraint; the chiral model contributes the mass/chemical-potential profiles but not the collision-time physics that drives the effect. The result is partially circular rather than fully circular because the in-medium thermodynamics and the kinetic integrals are genuine computations with independent content.

Axiom & Free-Parameter Ledger

2 free parameters · 5 axioms · 0 invented entities

The paper contributes no new microphysics: the collision physics is entirely contained in two relaxation-time ansätze with hand-set constants (a, A). The chiral SU(3) model only supplies m_N^*, μ_N^*, m_D^* and the densities entering these ansätze.

free parameters (2)
  • D-nucleon hard-sphere scattering length a = 0.8 fm (main results); 1.8 fm (Fig. 3 comparison)
    Sets σ_a = π a^2 in Eq. (30); different values used in comparison and main calculation, neither justified by data.
  • Degenerate-gas constant A = 12 (footnote); 12.2 (text)
    In τ_{c,N} = μ*_N(0)/(A T^2), Eq. (33); chosen at the lower end of the cited 1-100 range to make 2πT D_s ≥ 1.
axioms (5)
  • domain assumption Relaxation time approximation of the Boltzmann equation for D meson transport
    Used to express δf and derive conductivity (Eq. 10); standard but uncontrolled for a heavy meson in dense matter.
  • ad hoc to paper Hard-sphere scattering rate τ_c = 1/(n σ ⟨v⟩) with σ = π a^2
    Eq. (30); no D-nucleon cross-section calculation; a chosen by hand.
  • domain assumption Degenerate Fermi-gas relaxation time τ_{c,N} = μ*_N(0)/(A T^2) (Eq. 33)
    Standard Fermi-liquid T^-2 scaling from solid-state physics [88] and relativistic nuclear matter [89,90]; applied here to the nucleonic medium.
  • ad hoc to paper D-meson relaxation time τ_c^(b) = (m*_D/T) \barτ_{c,N} (Eq. 35)
    Mass-to-temperature factor inserted without derivation; controls the magnitude of the degenerate-branch D_s.
  • domain assumption Chiral SU(3) mean-field model gives correct in-medium D meson masses via Eqs. (27)-(29)
    Model from refs [51,60,76]; supplies m*_D, σ', ζ', δ', ρ densities; used without independent validation at ρ_B/ρ_0 > 2.

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read the original abstract

We study the spatial diffusion coefficient and the momentum transport coefficients of D mesons through a dense nuclear medium in the relaxation time approximation of the kinetic theory. The in medium modifications of the D meson transport properties are computed in the chiral SU(3) hadronic model. Relaxation time is estimated using dilute and degenerate gas approximations for low and high baryonic densities, respectively. We have noticed that relaxation time and spatial diffusion of D meson decrease rapidly in the low density dilute gas domain and mildly in the high density degenerate gas domain. The detailed result of the present work on D meson diffusion is quite contemporary and important towards the compressed baryonic matter densities which can be assessed in future heavy ion collision experiments.

Figures

Figures reproduced from arXiv: 2607.14058 by Arvind Kumar, Dani Rose J Marattukalam, Manpreet Kaur, Sabyasachi Ghosh.

Figure 1
Figure 1. Figure 1: presents the in-medium masses of the D mesons, m∗ D, as function of scaled baryon density ρB/ρ0 at a fixed temperature T = 100 MeV for Ia = 0 (symmetric nu￾clear matter), 0.3 (asymmetric matter), and 0.5 (pure neutron matter). In all four panels, the meson masses remain close to their vacuum values at low densities and exhibit a monotonic decrease with increasing baryon den￾sity of the medium, reflecting t… view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: Comparison of scaled spatial diffusion [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Scaled spatial diffusion coefficient 2 [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5: Spatial diffusion coefficient [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: depicts the momentum diffusion coefficient Dp = T 2/Ds as a function of scaled baryon density ρB/ρ0 for D0 at different temperatures T = 150, 100, 50, 20 MeV for Ia = 0, 0.3, 0.5. At T = 150 MeV, Dp reaches val￾ues of order 10−2 GeV3 , while at T = 20 MeV it is suppressed by roughly three orders of magnitude. The strong temperature dependence arises both from the ex￾plicit T 2 prefactor and from the implic… view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7: Momentum drag coefficient [PITH_FULL_IMAGE:figures/full_fig_p010_7.png] view at source ↗

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Reference graph

Works this paper leans on

97 extracted references · 9 canonical work pages

  1. [1]

    P. B. Gossiaux and J. Aichelin. Tomography of the Quark Gluon Plasma by Heavy Quarks.J. Phys. G, 36:064028, 2009.arXiv:0901.2462,doi:10.1088/0954-3899/36/6/ 064028

  2. [2]

    Das, Jan-e Alam, and Payal Mohanty

    Santosh K. Das, Jan-e Alam, and Payal Mohanty. Drag of heavy quarks in quark gluon plasma at energies available at the cern large hadron collider (lhc).Phys. Rev. C, 82:014908, Jul 2010. URL:https://link.aps.org/doi/ 10.1103/PhysRevC.82.014908,doi:10.1103/PhysRevC. 82.014908

  3. [3]

    Heavy Quark Diffusion as a Probe of the Quark-Gluon Plasma

    Ralf Rapp and Hendrik van Hees. Heavy Quark Diffusion as a Probe of the Quark-Gluon Plasma. 3 2008.arXiv: 0803.0901

  4. [4]

    Open Heavy Flavor in QCD Matter and in Nuclear Collisions.J

    Francesco Prino and Ralf Rapp. Open Heavy Flavor in QCD Matter and in Nuclear Collisions.J. Phys. G, 43(9):093002, 2016.arXiv:1603.00529,doi:10.1088/ 0954-3899/43/9/093002

  5. [5]

    Open Heavy- Flavor Production in Heavy-Ion Collisions.Ann

    Xin Dong, Yen-Jie Lee, and Ralf Rapp. Open Heavy- Flavor Production in Heavy-Ion Collisions.Ann. Rev. Nucl. Part. Sci., 69:417–445, 2019.arXiv:1903.07709, doi:10.1146/annurev-nucl-101918-023806

  6. [6]

    Beraudo et al

    A. Beraudo et al. Extraction of Heavy-Flavor Transport Coefficients in QCD Matter.Nucl. Phys. A, 979:21–86, 2018.arXiv:1803.03824,doi:10.1016/j.nuclphysa. 2018.09.002

  7. [7]

    Torres-Rincon, and Santosh K

    Laura Tolos, Juan M. Torres-Rincon, and Santosh K. Das. Transport coefficients of heavy baryons.Phys. Rev. D, 94(3):034018, 2016.arXiv:1601.03743,doi: 10.1103/PhysRevD.94.034018

  8. [8]

    Das, Juan M

    Santosh K. Das, Juan M. Torres-Rincon, and Ralf Rapp. Charm and bottom hadrons in hot hadronic matter. Phys. Rept., 1129-1131:1–53, 2025.arXiv:2406.13286, doi:10.1016/j.physrep.2025.05.002

  9. [9]

    7: Momentum drag coefficientγas a function of scaled baryon densityρ B/ρ0 forD 0 at different temperatures

    (fm!1) #10!4 T =20 MeV FIG. 7: Momentum drag coefficientγas a function of scaled baryon densityρ B/ρ0 forD 0 at different temperatures. The solid lines correspond to the degenerate Fermi liquid scenario, whereas the dash-dotted lines correspond to the dilute gas assumption. asγ=T /E ∗ DDs holds. We also use the definition of drag as the inverse of the rel...

  10. [10]

    Heavy flavors under extreme conditions in high energy nuclear collisions.Prog

    Jiaxing Zhao, Kai Zhou, Shile Chen, and Pengfei Zhuang. Heavy flavors under extreme conditions in high energy nuclear collisions.Prog. Part. Nucl. Phys., 114:103801, 2020.arXiv:2005.08277,doi:10.1016/j.ppnp.2020. 103801

  11. [11]

    Svetitsky

    B. Svetitsky. Diffusion of charmed quarks in the quark- gluon plasma.Phys. Rev. D, 37:2484–2491, 1988.doi: 10.1103/PhysRevD.37.2484

  12. [12]

    Eric Braaten and Markus H. Thoma. Energy loss of a heavy fermion in a hot plasma.Phys. Rev. D, 44:1298– 1310, 1991.doi:10.1103/PhysRevD.44.1298

  13. [13]

    Eric Braaten and Markus H. Thoma. Energy loss of a heavy quark in the quark - gluon plasma.Phys. Rev. D, 44(9):R2625, 1991.doi:10.1103/PhysRevD.44.R2625

  14. [14]

    Moore and Derek Teaney

    Guy D. Moore and Derek Teaney. How much do heavy quarks thermalize in a heavy ion collision?Phys. Rev. C, 71:064904, 2005.arXiv:hep-ph/0412346,doi:10.1103/ PhysRevC.71.064904

  15. [15]

    Heavy quark potentials in quenched QCD at high temperature.Phys

    Olaf Kaczmarek, Frithjof Karsch, Edwin Laermann, and Martin Lutgemeier. Heavy quark potentials in quenched QCD at high temperature.Phys. Rev. D, 62:034021, 2000.arXiv:hep-lat/9908010,doi:10.1103/PhysRevD. 62.034021

  16. [16]

    Heavy Quark Momentum Diffusion Coefficient from Lattice QCD.Phys

    Debasish Banerjee, Saumen Datta, Rajiv Gavai, and Pushan Majumdar. Heavy Quark Momentum Diffusion Coefficient from Lattice QCD.Phys. Rev. D, 85:014510, 2012.arXiv:1109.5738,doi:10.1103/PhysRevD.85. 014510

  17. [17]

    Bazavov, Y

    A. Bazavov, Y. Burnier, and P. Petreczky. Lattice cal- culation of the heavy quark potential at non-zero tem- perature.Nucl. Phys. A, 932:117–121, 2014.arXiv: 1404.4267,doi:10.1016/j.nuclphysa.2014.09.078

  18. [18]

    Heavy Quark Diffusion from 2+1 Fla- vor Lattice QCD with 320 MeV Pion Mass.Phys

    Luis Altenkort, Olaf Kaczmarek, Rasmus Larsen, Swa- gato Mukherjee, Peter Petreczky, Hai-Tao Shu, and Si- mon Stendebach. Heavy Quark Diffusion from 2+1 Fla- vor Lattice QCD with 320 MeV Pion Mass.Phys. Rev. Lett., 130(23):231902, 2023.arXiv:2302.08501, doi:10.1103/PhysRevLett.130.231902

  19. [19]

    Heavy quark diffusion in strongly coupled N=4 Yang-Mills

    Jorge Casalderrey-Solana and Derek Teaney. Heavy quark diffusion in strongly coupled N=4 Yang-Mills. Phys. Rev. D, 74:085012, 2006.arXiv:hep-ph/0605199, doi:10.1103/PhysRevD.74.085012

  20. [20]

    Steven S. Gubser. Momentum fluctuations of heavy quarks in the gauge-string duality.Nucl. Phys. B, 790:175–199, 2008.arXiv:hep-th/0612143,doi:10. 1016/j.nuclphysb.2007.09.017

  21. [21]

    Mannarelli and R

    M. Mannarelli and R. Rapp. Hadronic modes and quark properties in the quark-gluon plasma.Phys. Rev. C, 72:064905, 2005.arXiv:hep-ph/0505080,doi:10.1103/ PhysRevC.72.064905. 12

  22. [22]

    van Hees, M

    H. van Hees, M. Mannarelli, V. Greco, and R. Rapp. Nonperturbative heavy-quark diffusion in the quark- gluon plasma.Phys. Rev. Lett., 100:192301, 2008.arXiv: 0709.2884,doi:10.1103/PhysRevLett.100.192301

  23. [23]

    Riek and R

    F. Riek and R. Rapp. Quarkonia and Heavy-Quark Re- laxation Times in the Quark-Gluon Plasma.Phys. Rev. C, 82:035201, 2010.arXiv:1005.0769,doi:10.1103/ PhysRevC.82.035201

  24. [24]

    Shuai Y. F. Liu and Ralf Rapp.T-matrix Approach to Quark-Gluon Plasma.Phys. Rev. C, 97(3):034918, 2018. arXiv:1711.03282,doi:10.1103/PhysRevC.97.034918

  25. [25]

    Fries, and Ralf Rapp

    Min He, Rainer J. Fries, and Ralf Rapp. Thermal Re- laxation of Charm in Hadronic Matter.Phys. Lett. B, 701:445–450, 2011.arXiv:1103.6279,doi:10.1016/j. physletb.2011.06.019

  26. [26]

    DraggingDmesons by hot hadrons.Phys

    Sabyasachi Ghosh, Santosh K Das, Sourav Sarkar, and Jan-e Alam. DraggingDmesons by hot hadrons.Phys. Rev. D, 84:011503, 2011.arXiv:1104.0163,doi:10. 1103/PhysRevD.84.011503

  27. [27]

    Torres-Rincon

    Laura Tolos and Juan M. Torres-Rincon. D-meson prop- agation in hot dense matter.Phys. Rev. D, 88:074019, 2013.arXiv:1306.5426,doi:10.1103/PhysRevD.88. 074019

  28. [28]

    Torres-Rincon, Pol B

    Vitalii Ozvenchuk, Juan M. Torres-Rincon, Pol B. Gos- siaux, Laura Tolos, and Joerg Aichelin.D-meson prop- agation in hadronic matter and consequences for heavy- flavor observables in ultrarelativistic heavy-ion collisions. Phys. Rev. C, 90:054909, 2014.arXiv:1408.4938,doi: 10.1103/PhysRevC.90.054909

  29. [29]

    Dynamical collisional energy loss and transport properties of on- and off-shell heavy quarks in vacuum and in the Quark Gluon Plasma.Phys

    Hamza Berrehrah, Pol-Bernard Gossiaux, J¨ org Aichelin, Wolfgang Cassing, and Elena Bratkovskaya. Dynamical collisional energy loss and transport properties of on- and off-shell heavy quarks in vacuum and in the Quark Gluon Plasma.Phys. Rev. C, 90(6):064906, 2014.arXiv:1405. 3243,doi:10.1103/PhysRevC.90.064906

  30. [30]

    Berrehrah, P

    H. Berrehrah, P. B. Gossiaux, J. Aichelin, W. Cass- ing, J. M. Torres-Rincon, and E. Bratkovskaya. Trans- port coefficients of heavy quarks aroundT c at finite quark chemical potential.Phys. Rev. C, 90:051901, 2014. arXiv:1406.5322,doi:10.1103/PhysRevC.90.051901

  31. [31]

    Das, Vincenzo Minissale, Salvatore Plumari, and Vincenzo Greco

    Francesco Scardina, Santosh K. Das, Vincenzo Minissale, Salvatore Plumari, and Vincenzo Greco. Estimating the charm quark diffusion coefficient and thermalization time from D meson spectra at energies available at the BNL Relativistic Heavy Ion Collider and the CERN Large Hadron Collider.Phys. Rev. C, 96(4):044905, 2017. arXiv:1707.05452,doi:10.1103/PhysR...

  32. [32]

    Torres-Rincon, Gl` oria Monta˜ na,`Angels Ramos, and Laura Tolos

    Juan M. Torres-Rincon, Gl` oria Monta˜ na,`Angels Ramos, and Laura Tolos. In-medium kinetic theory of D mesons and heavy-flavor transport coefficients.Phys. Rev. C, 105(2):025203, 2022.arXiv:2106.01156,doi:10.1103/ PhysRevC.105.025203

  33. [33]

    Understanding the QCD medium by the diffusion of charm quarks using a color string percolation model

    Kangkan Goswami, Dushmanta Sahu, and Raghunath Sahoo. Understanding the QCD medium by the diffusion of charm quarks using a color string percolation model. Phys. Rev. D, 107(1):014003, 2023.arXiv:2206.13786, doi:10.1103/PhysRevD.107.014003

  34. [34]

    Diffusion and fluctuations of open charmed hadrons in an interact- ing hadronic medium.Phys

    Kangkan Goswami, Kshitish Kumar Pradhan, Dush- manta Sahu, and Raghunath Sahoo. Diffusion and fluctuations of open charmed hadrons in an interact- ing hadronic medium.Phys. Rev. D, 108(7):074011, 2023.arXiv:2307.04396,doi:10.1103/PhysRevD.108. 074011

  35. [35]

    Das, Vincenzo Greco, and Marco Rug- gieri

    Pooja, Santosh K. Das, Vincenzo Greco, and Marco Rug- gieri. Thermalization and isotropization of heavy quarks in a non-Markovian medium in high-energy nuclear col- lisions.Phys. Rev. D, 108(5):054026, 2023.arXiv: 2306.13749,doi:10.1103/PhysRevD.108.054026

  36. [36]

    Spatial diffusion of heavy quarks in a background magnetic field.Phys

    Sarthak Satapathy, Sudipan De, Jayanta Dey, and Sabyasachi Ghosh. Spatial diffusion of heavy quarks in a background magnetic field.Phys. Rev. C, 109(2):024904, 2024.arXiv:2212.08933,doi:10.1103/PhysRevC.109. 024904

  37. [37]

    Marattukalam, Arghya Chatterjee, Sudipan De, and Sabyasachi Ghosh

    Ashutosh Dwibedi, Nandita Padhan, Dani Rose J. Marattukalam, Arghya Chatterjee, Sudipan De, and Sabyasachi Ghosh. Effect of coriolis force on diffusion of D meson.J. Phys. G, 52(9):095101, 2025.arXiv: 2411.09983,doi:10.1088/1361-6471/adf983

  38. [38]

    Marattukalam, Nandita Padhan, Dipannita Das, Arghya Chatterjee, Sudipan De, and Sabyasachi Ghosh

    Ashutosh Dwibedi, Dani Rose J. Marattukalam, Nandita Padhan, Dipannita Das, Arghya Chatterjee, Sudipan De, and Sabyasachi Ghosh. Anisotropic spatial diffusion of heavy quarks and D mesons in a rotating medium.J. Subatomic Part. Cosmol., 4:100138, 2025.doi:10.1016/ j.jspc.2025.100138

  39. [39]

    Heavy Quark Diffusion in Strong Magnetic Fields at Weak Coupling and Implications for Elliptic Flow

    Kenji Fukushima, Koichi Hattori, Ho-Ung Yee, and Yi Yin. Heavy Quark Diffusion in Strong Magnetic Fields at Weak Coupling and Implications for Elliptic Flow. Phys. Rev. D, 93(7):074028, 2016.arXiv:1512.03689, doi:10.1103/PhysRevD.93.074028

  40. [40]

    Bengt Friman, Claudia Hohne, Jorn Knoll, Stefan Le- upold, Jorgen Randrup, Ralf Rapp, and Peter Senger, editors.The CBM physics book: Compressed baryonic matter in laboratory experiments, volume 814. 2011. doi:10.1007/978-3-642-13293-3

  41. [41]

    Ahdida et al

    C. Ahdida et al. Letter of Intent: the NA60+ experiment. 12 2022.arXiv:2212.14452

  42. [42]

    Future facilities: The CERN SPS.EPJ Web Conf., 339:01009, 2025.arXiv:2505.10286,doi: 10.1051/epjconf/202533901009

    Roberta Arnaldi. Future facilities: The CERN SPS.EPJ Web Conf., 339:01009, 2025.arXiv:2505.10286,doi: 10.1051/epjconf/202533901009

  43. [43]

    Bazavov et al

    A. Bazavov et al. The QCD Equation of State toO(µ 6 B) from Lattice QCD.Phys. Rev. D, 95(5):054504, 2017. arXiv:1701.04325,doi:10.1103/PhysRevD.95.054504

  44. [44]

    The exploration of hot and dense nuclear matter: introduction to relativis- tic heavy-ion physics.J

    Hannah Elfner and Berndt M¨ uller. The exploration of hot and dense nuclear matter: introduction to relativis- tic heavy-ion physics.J. Phys. G, 50(10):103001, 2023. arXiv:2210.12056,doi:10.1088/1361-6471/ace824

  45. [45]

    Heavy Hadrons in Nuclear Matter.Prog

    Atsushi Hosaka, Tetsuo Hyodo, Kazutaka Sudoh, Ya- suhiro Yamaguchi, and Shigehiro Yasui. Heavy Hadrons in Nuclear Matter.Prog. Part. Nucl. Phys., 96:88–153, 2017.arXiv:1606.08685,doi:10.1016/j.ppnp.2017. 04.003

  46. [46]

    Torres-Rincon

    Gloria Montana, Angels Ramos, Laura Tolos, and Juan M. Torres-Rincon. Recent progress on in-medium properties of heavy mesons from finite-temperature EFTs.Front. in Phys., 11:1250939, 2023.arXiv:2307. 03640,doi:10.3389/fphy.2023.1250939

  47. [47]

    Francis, O

    A. Francis, O. Kaczmarek, M. Laine, T. Neuhaus, and H. Ohno. Nonperturbative estimate of the heavy quark momentum diffusion coefficient.Phys. Rev. D, 92(11):116003, 2015.arXiv:1508.04543,doi:10.1103/ PhysRevD.92.116003

  48. [48]

    The First fm/c of Heavy-Ion Collisions.Ann

    Soeren Schlichting and Derek Teaney. The First fm/c of Heavy-Ion Collisions.Ann. Rev. Nucl. Part. Sci., 69:447–476, 2019.arXiv:1908.02113,doi:10.1146/ annurev-nucl-101918-023825

  49. [49]

    Capellino, A

    F. Capellino, A. Beraudo, A. Dubla, S. Floerchinger, S. Masciocchi, J. Pawlowski, and I. Selyuzhenkov. Fluid- 13 dynamic approach to heavy-quark diffusion in the quark- gluon plasma.Phys. Rev. D, 106(3):034021, 2022.arXiv: 2205.07692,doi:10.1103/PhysRevD.106.034021

  50. [50]

    Holt, Mannque Rho, and Wolfram Weise

    Jeremy W. Holt, Mannque Rho, and Wolfram Weise. Chiral symmetry and effective field theories for hadronic, nuclear and stellar matter.Phys. Rept., 621:2–75, 2016.arXiv:1411.6681,doi:10.1016/j.physrep.2015. 10.011

  51. [51]

    Papazoglou, S

    P. Papazoglou, S. Schramm, J. Schaffner-Bielich, Horst Stoecker, and W. Greiner. Chiral Lagrangian for strange hadronic matter.Phys. Rev. C, 57:2576–2588, 1998.arXiv:nucl-th/9706024,doi:10.1103/PhysRevC. 57.2576

  52. [52]

    Papazoglou, D

    P. Papazoglou, D. Zschiesche, S. Schramm, J. Schaffner- Bielich, Horst Stoecker, and W. Greiner. Nuclei in a chi- ral SU(3) model.Phys. Rev. C, 59:411–427, 1999.arXiv: nucl-th/9806087,doi:10.1103/PhysRevC.59.411

  53. [53]

    Mishra, K

    A. Mishra, K. Balazs, D. Zschiesche, S. Schramm, Horst Stoecker, and W. Greiner. Effects of Dirac sea polariza- tion on hadronic properties: A Chiral SU(3) approach. Phys. Rev. C, 69:024903, 2004.arXiv:nucl-th/0308064, doi:10.1103/PhysRevC.69.024903

  54. [54]

    Zschiesche, A

    D. Zschiesche, A. Mishra, S. Schramm, Horst Stoecker, and W. Greiner. In-medium vector meson masses in a chi- ral SU(3) model.Phys. Rev. C, 70:045202, 2004.arXiv: nucl-th/0302073,doi:10.1103/PhysRevC.70.045202

  55. [55]

    Isospin dependent kaon and antikaon optical potentials in dense hadronic matter.Phys

    Amruta Mishra and Stefan Schramm. Isospin dependent kaon and antikaon optical potentials in dense hadronic matter.Phys. Rev. C, 74:064904, 2006.arXiv:nucl-th/ 0607050,doi:10.1103/PhysRevC.74.064904

  56. [56]

    Marattukalam, Ashutosh Dwibedi, Sourodeep De, and Sabyasachi Ghosh

    Dani Rose J. Marattukalam, Ashutosh Dwibedi, Sourodeep De, and Sabyasachi Ghosh. Possibility of quantum Hall effect in dense quark matter environments: A chiral model approach.Phys. Rev. D, 112(5):054024, 2025.arXiv:2410.22890,doi:10.1103/ntpl-b8yl

  57. [57]

    Marattukalam, Ashutosh Dwibedi, Sourodeep De, and Sabyasachi Ghosh

    Dani Rose J. Marattukalam, Ashutosh Dwibedi, Sourodeep De, and Sabyasachi Ghosh. Quantized con- ductivity in chiral effective model.J. Subatomic Part. Cosmol., 4:100116, 2025.doi:10.1016/j.jspc.2025. 100116

  58. [58]

    Interacting mesons as de- grees of freedom in a chiral model.Phys

    Rajesh Kumar, Joaquin Grefa, Konstantin Maslov, Yuhan Wang, Arvind Kumar, Ralf Rapp, Claudia Ratti, and Veronica Dexheimer. Interacting mesons as de- grees of freedom in a chiral model.Phys. Rev. D, 111(7):074029, 2025.arXiv:2503.03057,doi:10.1103/ PhysRevD.111.074029

  59. [59]

    Marattukalam, Prasanta Murmu, Ashutosh Dwibedi, Rishabh Sharma, and Sabyasachi Ghosh

    Anand Rai, Dani Rose J. Marattukalam, Prasanta Murmu, Ashutosh Dwibedi, Rishabh Sharma, and Sabyasachi Ghosh. Towards compressed baryonic matter densities: thermodynamics and transport coefficients. 12 2025.arXiv:2512.20282

  60. [60]

    Mishra, E

    A. Mishra, E. L. Bratkovskaya, J. Schaffner-Bielich, S. Schramm, and Horst Stoecker. Mass modification of D meson in hot hadronic matter.Phys. Rev. C, 69:015202, 2004.arXiv:nucl-th/0308082,doi:10.1103/PhysRevC. 69.015202

  61. [61]

    D mesons and char- monium states in asymmetric nuclear matter at finite temperatures.Phys

    Arvind Kumar and Amruta Mishra. D mesons and char- monium states in asymmetric nuclear matter at finite temperatures.Phys. Rev. C, 81:065204, 2010.arXiv: 1005.5018,doi:10.1103/PhysRevC.81.065204

  62. [62]

    Blaschke, P

    D. Blaschke, P. Costa, and Yu. L. Kalinovsky. D mesons at finite temperature and density in the PNJL model. Phys. Rev. D, 85:034005, 2012.arXiv:1107.2913,doi: 10.1103/PhysRevD.85.034005

  63. [63]

    Mass modification of D meson at finite density in QCD sum rule.Phys

    Arata Hayashigaki. Mass modification of D meson at finite density in QCD sum rule.Phys. Lett. B, 487:96–103, 2000.arXiv:nucl-th/0001051,doi:10. 1016/S0370-2693(00)00760-7

  64. [64]

    Analysis of heavy mesons in nuclear matter with a QCD sum rule approach.Phys

    Zhi-Gang Wang. Analysis of heavy mesons in nuclear matter with a QCD sum rule approach.Phys. Rev. C, 92:065205, 2015.doi:10.1103/PhysRevC.92.065205

  65. [65]

    Analysis of pseu- doscalar and scalarDmesons and charmonium decay width in hot magnetized asymmetric nuclear matter

    Rajesh Kumar and Arvind Kumar. Analysis of pseu- doscalar and scalarDmesons and charmonium decay width in hot magnetized asymmetric nuclear matter. Phys. Rev. C, 101(1):015202, 2020.arXiv:1908.09172, doi:10.1103/PhysRevC.101.015202

  66. [66]

    Tolos, J

    L. Tolos, J. Schaffner-Bielich, and A. Mishra. Properties of D-mesons in nuclear matter within a self-consistent coupled-channel approach.Phys. Rev. C, 70:025203, 2004.arXiv:nucl-th/0404064,doi:10.1103/PhysRevC. 70.025203

  67. [67]

    Tolos, J

    L. Tolos, J. Schaffner-Bielich, and H. Stoecker. D-mesons: In-medium effects at F AIR.Phys. Lett. B, 635:85– 92, 2006.arXiv:nucl-th/0509054,doi:10.1016/j. physletb.2006.02.045

  68. [68]

    Mizutani and A

    T. Mizutani and A. Ramos. D mesons in nuclear matter: A DN coupled-channel equations approach.Phys. Rev. C, 74:065201, 2006.arXiv:hep-ph/0607257,doi:10.1103/ PhysRevC.74.065201

  69. [69]

    Tolos, C

    L. Tolos, C. Garcia-Recio, and J. Nieves. The Prop- erties of D and D* mesons in the nuclear medium. Phys. Rev. C, 80:065202, 2009.arXiv:0905.4859,doi: 10.1103/PhysRevC.80.065202

  70. [70]

    Heavy quark diffusion from the lattice.Phys

    Peter Petreczky and Derek Teaney. Heavy quark diffusion from the lattice.Phys. Rev. D, 73:014508, 2006.arXiv: hep-ph/0507318,doi:10.1103/PhysRevD.73.014508

  71. [71]

    Cambridge Monographs on Mathematical Physics

    Paul Romatschke and Ulrike Romatschke.Relativistic Fluid Dynamics In and Out of Equilibrium. Cambridge Monographs on Mathematical Physics. Cambridge Uni- versity Press, 5 2019.arXiv:1712.05815,doi:10.1017/ 9781108651998

  72. [72]

    Selfconsistent Evaluation of Charm and Charmonium in the Quark-Gluon Plasma

    Felix Riek and Ralf Rapp. Selfconsistent Evaluation of Charm and Charmonium in the Quark-Gluon Plasma. New J. Phys., 13:045007, 2011.arXiv:1012.0019,doi: 10.1088/1367-2630/13/4/045007

  73. [73]

    Nonlinear realizations of chiral sym- metry.Phys

    Steven Weinberg. Nonlinear realizations of chiral sym- metry.Phys. Rev., 166:1568–1577, 1968.doi:10.1103/ PhysRev.166.1568

  74. [74]

    Bardeen and B

    William A. Bardeen and B. W. Lee. Some considerations on nonlinear realizations of chiral su(3) x su(3).Phys. Rev., 177:2389–2397, 1969.doi:10.1103/PhysRev.177. 2389

  75. [75]

    Hayano and Tetsuo Hatsuda

    Ryugo S. Hayano and Tetsuo Hatsuda. Hadron properties in the nuclear medium.Rev. Mod. Phys., 82:2949, 2010. arXiv:0812.1702,doi:10.1103/RevModPhys.82.2949

  76. [76]

    Andrew Manning, Roland Haas, Veronica Dexheimer, and Jaquelyn Noronha-Hostler

    Nikolas Cruz-Camacho, Rajesh Kumar, Mateus Reinke Pelicer, Jeff Peterson, T. Andrew Manning, Roland Haas, Veronica Dexheimer, and Jaquelyn Noronha-Hostler. Phase stability in the three- dimensional open-source code for the chiral mean-field model.Phys. Rev. D, 111(9):094030, 2025.arXiv: 2409.06837,doi:10.1103/PhysRevD.111.094030

  77. [77]

    Kaons and an- tikaons in isospin asymmetric dense resonance matter at finite temperature.Phys

    Manpreet Kaur and Arvind Kumar. Kaons and an- tikaons in isospin asymmetric dense resonance matter at finite temperature.Phys. Rev. D, 110(11):114054, 2024.arXiv:2410.15685,doi:10.1103/PhysRevD.110. 114054. 14

  78. [78]

    Zschiesche, P

    D. Zschiesche, P. Papazoglou, C. W. Beckmann, S. Schramm, J. Schaffner-Bielich, Horst Stoecker, and W. Greiner. Chiral model for dense, hot and strange hadronic matter.Nucl. Phys. A, 663:737– 740, 2000.arXiv:nucl-th/9908072,doi:10.1016/ S0375-9474(99)00707-1

  79. [79]

    Kaon and antikaon optical potentials in isospin asymmetric hyperonic matter.Eur

    Amruta Mishra, Arvind Kumar, Sambuddha Sanyal, and Stefan Schramm. Kaon and antikaon optical potentials in isospin asymmetric hyperonic matter.Eur. Phys. J. A, 41:205–213, 2009.arXiv:0808.1937,doi:10.1140/ epja/i2009-10777-6

  80. [80]

    Manpreet Kaur and Arvind Kumar.ϕmeson properties in dense resonance matter at finite temperature.Phys. Rev. D, 112(1):014030, 2025.arXiv:2505.07065,doi: 10.1103/h2ll-5js4

Showing first 80 references.