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Coupled-channel study of crypto-exotic baryons with charm

High Energy Physics - Phenomenology · Submitted 6 Jul 2005 · 47 references

Pith's verdict: A solid extension of the GSI coupled-channel program with genuinely parameter-free charm -1 predictions, but the two headline zero-charm states are tuned to the bubble-chamber signals and the abstract presents them as found.

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arXiv IDhep-ph/0507071 (version 2)
Pith IDHLR32C5I, Pith's permanent record of this paper and its review
CitationJ. Hofmann, M.F.M. Lutz (GSI). "Coupled-channel study of crypto-exotic baryons with charm." arXiv:hep-ph/0507071 (2005). https://pith.science/paper/HLR32C5I
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Referee report
The paper

The paper claims

A single force — t-channel vector-meson exchange — is claimed to bind mesons and baryons into a whole spectrum of narrow hidden-charm baryons, including a 3.52 GeV nucleon and a 3.17 GeV hyperon only about 1 MeV wide.

The reading

The paper asks whether the same zero-range force that reproduces ordinary hadronic resonances can, once charmed mesons are added to the coupled-channel basis, bind a meson to a baryon strongly enough to make a stable molecule with hidden charm. The authors identify the t-channel exchange of the light vector mesons as that force and argue that chiral symmetry plus large-$N_c$ counting fix its strength without free parameters, leaving only the couplings of charmed vector mesons to be estimated by SU(4) symmetry. Running the resulting coupled-channel equations over every channel allowed by $u,d,s,c$ quarks, they find a dense spectrum of bound states and resonances rather than a handful. The states with a $cbar c$ pair are predicted to be narrow, because their strong decays must violate the OZI rule — the same mechanism that keeps the $J/psi$ long-lived. If the picture holds, two old bubble-chamber signals (a 3.17 GeV hyperon and a 3.52 GeV nucleon) are not anomalies but the first members of an SU(3) octet and singlet of crypto-exotic baryons, and there are roughly ten more narrow open-charm states below 3 GeV waiting to be found.

What carries the argument

The load-bearing object is the s-wave projected coupled-channel kernel built from t-channel vector-meson exchange, $V^{(I,S,C)}(sqrt s) = sum_V C^{(I,S,C)}_V /(8 m_V^2) ,(2sqrt s - M - bar M + (bar M - M)(bar m^2 - m^2)/m_V^2)$, unitarized by the diagonal loop matrix $J$ with a subtraction scale $mu = sqrt{m_{rm th}^2 + M_{rm th}^2}$ chosen so that the lightest channel's loop vanishes at the matching point. That subtraction choice is what keeps heavy channels such as $eta_c N$ from contaminating the low-energy $pi N$ amplitude and spoiling the chiral prediction. The matrices $C^{(I,S,C)}_V$ carry all the group theory: summing over the light vector nonet reproduces the Weinberg–Tomozawa structure, and the full SU(4) decomposition $15 otimes 20 = 4 oplus 20_1 oplus 20_2 oplus 20_s oplus 36 oplus 60 oplus 140$ shows where attraction lives — strongest in the $bar 4$, repulsive in the $140$, absent in the $60$, with the exotic $36$ also attractive. Resonance positions and channel couplings are read off generalized speed plots, $mathrm{Speed}_{ab} = |d M_{ab}/d sqrt s|$, which separate a genuine pole from a threshold cusp.

Extended reading notes

Core claim

The central claim is that crypto-exotic baryons — baryons containing a $cbar c$ pair but no net charm — exist as hadronic molecules, bound by the t-channel exchange of light vector mesons between a pseudoscalar meson and a baryon ground state. The authors set up coupled-channel s-wave scattering over all channels required by $u,d,s,c$ quarks, with the interaction kernel taken as vector-meson exchange and the coupling constants fixed by chiral symmetry, the KSFR relation and leading-order large-$N_c$ relations; only the charmed-vector-meson vertices are left to SU(4) estimates. Solving the resulting matrix equation $M = [1 - V J]^{-1} V$ produces an SU(3) octet of hidden-charm states decaying predominantly through $eta'$ channels, with members at 3.52 GeV $(I,S)=(tfrac12,0)$, 3.58 GeV $(0,-1)$, 3.80 GeV $(tfrac12,-2)$ and 3.93 GeV $(1,-1)$, plus a more strongly bound SU(3) singlet formed from the $(bar D_s Lambda_c)$, $(bar D Xi_c)$ system near 3.17 GeV whose width comes out around 1 MeV. The same machinery reproduces the two known s-wave charmed baryons, $Lambda_c(2593)$ and $Xi_c(2790)$, and predicts about ten further narrow open-charm states below 3 GeV; the authors use this to argue that the $Lambda_c(2880)$ cannot be an s-wave state, since its observed narrow width is incompatible with the large coupling to the $eta Lambda_c$ channel that an s-wave assignment would require.

Load-bearing premise

The masses of every hidden-charm state rest on SU(4)-symmetric estimates for how charmed vector mesons couple to charmed mesons and baryons — estimates the authors themselves say are only good to a factor of two and which they then adjust by hand to place the nucleon resonance at 3.52 GeV with a 7 MeV width.

Editorial extensions

If this is right

  • A narrow peak should appear in the $eta' N$ channel near 3.52 GeV, with a formation cross section in $pi^- p$ of roughly $600 ,mu$barn per MeV of total width, against a total cross section of about 25 mbarn.
  • A narrow $eta' Lambda$ or $bar D_s Lambda_c$ structure should appear near 3.17 GeV, with a $K^- p$ formation cross section of order $36 ,mu$barn per MeV of width, compatible with the old bubble-chamber limit of under 20 MeV.
  • The octet partners at 3.58, 3.80 and 3.93 GeV should be visible in the corresponding strangeness and isospin channels, all with widths clustered near 7 MeV and all decaying preferentially into channels containing an $eta'$.
  • In the open-charm sector, roughly ten additional narrow s-wave states below 3 GeV are predicted, including a $Sigma_c(2620)$ coupling to $(D N)$ and $(D_s Sigma)$, a $Lambda_c(2815)$ formed from $(eta Lambda_c)$ and $(K Xi_c)$, and narrow $Xi_c$ states near 2672 and 2793 MeV.
  • Lattice QCD simulations with dynamical charm quarks should either confirm or exclude bound states in these quantum-number channels, since the prediction is a statement about the spectrum itself, not about a particular decay.

Reading between the lines

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

  • The mechanism is generic enough that the same vector-exchange attraction should bind other heavy-meson/heavy-baryon combinations not tabulated here — for instance states built on $Omega_c$ or on the doubly charmed $Xi_{cc}$ with a $bar D_s$ — so the paper's tables are probably a subset of a larger molecular spectrum.
  • If the widths really are set by OZI violation through the $eta'$, then the crypto-exotic states are a direct experimental handle on the $U_A(1)$ anomaly's mixing of $eta'$ with gluonic operators, a connection the authors note but do not exploit quantitatively.
  • The claim that $Lambda_c(2880)$ is not s-wave is testable independently of the model: measuring its coupling to $eta Lambda_c$ relative to $pi Sigma_c$ would either show the suppression an s-wave assignment forbids or reveal the state as a higher partial wave.
  • Because the headline masses depend on couplings the authors tune by hand, a useful extension would be to treat those couplings as fit parameters against the two known charmed baryons and then postdict, rather than tune, the hidden-charm masses.
Original abstract

Identifying the t-channel exchange of vector mesons as the driving force for the s-wave scattering of pseudo-scalar mesons off the baryon ground states, a surprisingly rich spectrum of molecules is formed. We argue that chiral symmetry and large- N_c considerations determine that part of the interaction which generates the spectrum. All channels that are required by the existence of (u,d,s,c) quarks are considered. A bound state with exotic quantum numbers is predicted at mass 2.78 GeV. It couples strongly to the (bar D_s N),(bar D Lambda),(bar D Sigma) channels. A further charm minus-one system is predicted at mass 2.84 GeV as a result of (bar D_s Lambda), (bar D Xi) interactions. We suggest the existence of strongly bound crypto-exotic baryons, which contain a charm-anti-charm pair. Such states are narrow since they can decay only via OZI-violating processes. A narrow nucleon resonance is found at mass 3.52 GeV. It is a coupled-channel bound state of the (eta_c N), (bar D Sigma_c) system, which decays dominantly into the (eta' N) channel. Furthermore two isospin singlet hyperon states at mass 3.23 GeV and 3.58 GeV are observed as a consequence of coupled-channel interactions of the (bar D_s Lambda_c), (bar D Xi_c) and (eta_c Lambda),(bar D Xi_c') states. Most striking is the small width of about 1 MeV of the lower state. The upper state may be significantly broader due to a strong coupling to the (eta' Lambda) state. The two so far observed s-wave baryons with charm one are recovered. We argue that the Lambda_c(2880) is not a s-wave state. In addition to those states we predict the existence of about ten narrow s-wave baryon states with masses below 3 GeV.

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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 11,409 input tokens, $0.0005 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.71 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Identifying the t-channel exchange of vector mesons as the driving force for the s-wave scattering of pseudo-scalar mesons off the baryon ground states, a surprisingly rich spectrum of molecules is formed. We argue that chiral symmetry and large- N_c considerations determine that part of the interaction which generates the spectrum. All channels that are required by the existence of (u,d,s,c) quarks are considered. A bound state with exotic quantum numbers is predicted at mass 2.78 GeV. It couples strongly to the (bar D_s N),(bar D Lambda),(bar D Sigma) channels. A further charm minus-one system is predicted at mass 2.84 GeV as a result of (bar D_s Lambda), (bar D Xi) interactions. We suggest the existence of strongly bound crypto-exotic baryons, which contain a charm-anti-charm pair. Such states are narrow since they can decay only via OZI-violating processes. A narrow nucleon resonance is found at mass 3.52 GeV. It is a coupled-channel bound state of the (eta_c N), (bar D Sigma_c) system, which decays dominantly into the (eta' N) channel. Furthermore two isospin singlet hyperon states at mass 3.23 GeV and 3.58 GeV are observed as a consequence of coupled-channel interactions of the (bar D_s Lambda_c), (bar D Xi_c) and (eta_c Lambda),(bar D Xi_c') states. Most striking is the small width of about 1 MeV of the lower state. The upper state may be significantly broader due to a strong coupling to the (eta' Lambda) state. The two so far observed s-wave baryons with charm one are recovered. We argue that the Lambda_c(2880) is not a s-wave state. In addition to those states we predict the existence of about ten narrow s-wave baryon states with masses below 3 GeV.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Identifying the t-channel exchange of vector mesons as the driving force for the s-wave scattering of pseudo-scalar mesons off the baryon ground states, a surprisingly rich spectrum of molecules is formed. method 0.42 0.60 0.21 asserted 1.00
s1 We argue that chiral symmetry and large- N_c considerations determine that part of the interaction which generates the spectrum. interpretation 0.64 0.50 0.08 asserted 0.70
s2 All channels that are required by the existence of (u,d,s,c) quarks are considered. method 0.75 0.80 0.03 asserted 0.96
s3 A bound state with exotic quantum numbers is predicted at mass 2.78 GeV. result 1.00 0.89 0.27 asserted 0.91
s4 It couples strongly to the (bar D_s N),(bar D Lambda),(bar D Sigma) channels. result 1.00 0.84 0.08 asserted 1.00
s5 A further charm minus-one system is predicted at mass 2.84 GeV as a result of (bar D_s Lambda), (bar D Xi) interactions. result 1.00 0.89 0.06 asserted 0.96
s6 We suggest the existence of strongly bound crypto-exotic baryons, which contain a charm-anti-charm pair. result 0.63 0.61 0.58 hedged possibility 0.89
s7 Such states are narrow since they can decay only via OZI-violating processes. interpretation 0.95 0.41 0.09 asserted 0.98
s8 A narrow nucleon resonance is found at mass 3.52 GeV. result 1.00 0.92 0.07 asserted 1.00
s9 It is a coupled-channel bound state of the (eta_c N), (bar D Sigma_c) system, which decays dominantly into the (eta' N) channel. result 1.00 0.94 0.07 asserted 1.00
s10 Furthermore two isospin singlet hyperon states at mass 3.23 GeV and 3.58 GeV are observed as a consequence of coupled-channel interactions of the (bar D_s Lambda_c), (bar D Xi_c) and (eta_c Lambda),(bar D Xi_c') states. result 1.00 0.86 0.09 asserted 1.00
s11 Most striking is the small width of about 1 MeV of the lower state. result 0.99 0.88 0.06 asserted 1.00
s12 The upper state may be significantly broader due to a strong coupling to the (eta' Lambda) state. interpretation 0.56 0.81 0.04 hedged possibility 1.00
s13 The two so far observed s-wave baryons with charm one are recovered. result 0.72 0.55 0.07 asserted 1.00
s14 We argue that the Lambda_c(2880) is not a s-wave state. interpretation 0.88 0.69 0.06 asserted 0.89
s15 In addition to those states we predict the existence of about ten narrow s-wave baryon states with masses below 3 GeV. result 0.97 0.88 0.26 asserted 0.69

What kind of paper the classifier reports this is: theoretical result 0.88 · evidence from simulation or computation 0.52.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
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. It is shown the logarithm of the diagonal Speed
Figure 2. It is shown the logarithm of the diagonal Speed
Figure 3. It is shown the logarithm of the diagonal Speed

Figures reproduced from arXiv:hep-ph/0507071 by the authors.

References
How the literature uses it

47 arXiv papers cite this in 121 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 · 69 sentences without a confident label

Contests it 2 papers
Builds on it 1 paper
Uses its method or tool 10 papers
  • In Ref. [ref] , the medium effect for the $D/D̅$ meson is studied within the self-consistent framework developed in Ref. [ref] , together with the SU(4) contact interaction model of Ref. [ref] .

    Heavy Hadrons in Nuclear Matter · Nuclear matter · 0.87

  • A coupled-channel BSE, with a $SU(6)_lsf×$HQSS-extended WT meson-baryon interaction, is solved in [ref] within the on–shell approximation, and adopting a one-subtraction RS at fixed scale for all channels, as advocated in Refs. [ref] .

    $\Omega_c$ excited states within a ${\rm SU(6)}_{\rm lsf}\times$HQSS model · Conclusions · 0.80

  • To describe the interaction we employ effective Lagrangians that describe the couplings of the vector meson to pseudoscalar mesons $(VPP)$ and baryons $(VBB)$, which are obtained using the hidden gauge formalism and assuming $SU(4)$ symmetry [ref] : [equation] [equation] where $ϕ$ and $V_μ$ represent the 16-plet pseudo-scalar field and the 16-plet vector field, respectively, and $⟨ ⟩$ denotes the $SU(4)$ trace in flavour space.

    Double strangeness pentaquarks and other exotic hadrons in the $\Xi_b \to \Xi\ J/\Psi\ \phi$ decay · Meson-Baryon interaction · 0.98

Uses its data or values 3 papers
Compares with it 9 papers
  • In total 200 and 221 pairs contribute to $N_same()$ in the region of $< 200$, where model calculations [ref] predict a deviation from unity.

    First study of the two-body scattering involving charm hadrons · The correlation function · 0.84

  • In addition, there appears a subthreshold mode, located around 75 MeV below the $D_s$ mass, related to an additional $D_s N$ resonance found in [ref] and not in [ref] , in spite of the similar kernels employed, which include a null or negligible $D_sN$ interaction.

    Properties of the $D_{s0}^*(2317)^\pm$ in hot and dense nuclear matter · In-medium and finite-temperature loop function · 0.96

  • From the analysis of the amplitude on the real axis, the quasi-bound states are found at qualitatively similar positions with Ref. [ref] , while the $I=1$ state becomes broader.

    Heavy Hadrons in Nuclear Matter · Two-body interaction with nucleon · 0.97

Cites it as support 1 paper
Cites it as background 14 papers

Discussion

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