{"id":"80c8e169-3816-4966-ae1b-460dc9d9338b","arxiv_id":"2507.12958","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":1,"one_line_summary":"Using a one-boson-exchange model, the authors predict negative-parity charm-strange dibaryon molecules and resonances in ΞcN, ΣcΣ and related coupled channels.","lead":"This paper predicts several new \"strange charm\" dibaryon molecules, pairs of charmed and ordinary baryons bound together in P-wave states with negative parity. If real, they would be a new class of exotic hadrons that experiments could search for near specific mass thresholds.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"Predicted dibaryon spectrum is regulator-driven: several key 'molecular candidates' require cutoffs near 1.9 GeV rather than the stated 1.0 GeV benchmark, and no form-factor or uncertainty test is provided.","rationale":"The paper is systematic: the OBE potentials are written out, the spin-orbit matrix elements are tabulated, and the numerical results are sufficiently detailed that the calculation could likely be reproduced. That supports a CONDITIONAL rather than REJECT verdict. However, the central claim is not robust to the regulator choice. The reader's weakest assumption correctly identifies cutoff sensitivity, but the sharper problem is that several of the headline states exist only at Lambda values far from the nominal 1.00 GeV benchmark, and the model is not tested against any alternative form-factor shape or fixed-cutoff criterion. The phase-shift 'confirmation' is internal to the same model and does not provide independent support. A fixed-cutoff run plus a dipole form-factor run would settle whether the predicted spectrum is physical or an artifact of scanning the only free parameter until each channel binds. Since this concern reinforces the reader's CONDITIONAL verdict rather than overturning it, the verdict should remain unchanged.","tokens_in":32782,"tokens_out":4783,"duration_ms":58505,"concrete_test":"Fix Lambda = 1.00 GeV, the paper's own 'reasonable' value, and rerun every single-channel and coupled-channel calculation in Tables V-XII, recording which claimed molecules and resonances survive with r_RMS >= 1 fm. Then repeat the full calculation using a dipole form factor F(q^2) = ((Lambda^2 - m^2)/(Lambda^2 - q^2))^2 at the same Lambda values. If the Sigma_c Sigma 1(1-) state, the Sigma*_c Sigma 1(2-) state, or several Xi*_c N states disappear in either run, the claimed 'emergence' of these dibaryons is a regulator artifact rather than a robust prediction.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim is that specific negative-parity charm-strange dibaryons emerge from OBE coupled-channel dynamics. The load-bearing assumption is that a monopole form factor with a single free cutoff Lambda in 0.80-2.00 GeV, chosen from nucleon-nucleon experience, is quantitatively reliable for P-wave charmed-baryon-light-baryon systems. This assumption is not secured. First, Table XI shows that the Sigma_c Sigma molecule with 1(1-) binds only for Lambda = 1.85-1.95 GeV, and Table XII shows that the Sigma*_c Sigma molecule with 1(2-) binds only for Lambda = 1.80-1.90 GeV; these are far above the paper's own 'reasonable cutoff around 1.00 GeV' and near the upper edge of the scanned range. Second, because Lambda is the only free parameter and the scan stops at 2.00 GeV, the appearance of bound states at large Lambda is a generic feature of attractive OBE potentials; it does not discriminate between physical molecules and regulator artifacts. Third, the phase-shift analysis in Section III B uses the same potentials and the same cutoff selection, so it can only confirm the model against itself, not validate the predictions. Fourth, no uncertainty quantification or alternative form-factor shape is considered; monopole versus dipole regulators systematically change the short-range attraction and can remove shallow P-wave bound states. The existence of the headline states therefore depends on an unconstrained regulator choice rather than on data.","agreement_with_reader":"partial"},"referee_report":{"model":"deepseek-v4-flash","summary":"The paper uses a one-boson-exchange (OBE) model with monopole form factors to study P-wave interactions between charmed baryons (Xi_c, Xi'_c, Xi*_c, Lambda_c, Sigma_c, Sigma*_c) and light baryons, solving coupled-channel Schrodinger equations and analyzing phase shifts. It predicts several negative-parity charm-strange dibaryon molecular candidates, including Xi'_c N with I(J^P)=0(1^-), Xi*_c N with 0(0^-,1^-,2^-), Sigma_c Sigma with 0(1^-) and 1(1^-), and Sigma*_c Sigma with 0(0^-,1^-,2^-) and 1(2^-). It also identifies shape-type and Feshbach-type resonances in coupled-channel phase shifts. The paper carefully reports binding energies, RMS radii, channel probabilities, and cutoff sensitivity, and it explicitly declines to promote several small-radius coupled-channel bound states to molecular candidates.","tokens_in":33076,"tokens_out":2740,"duration_ms":36107,"significance":"If the predictions are robust, the paper provides a systematic extension of molecular dibaryon studies to negative-parity P-wave systems, complementing the authors' earlier S-wave analysis (Ref. [49]) and giving concrete states and resonance patterns that could be tested by future experiments or lattice QCD. The derivation is transparent: the effective Lagrangians and coupling constants are specified, all potential terms are tabulated, and the numerical results include a full set of bound-state and phase-shift tables. The authors are also honest about two important limitations: the binding energies are highly sensitive to the cutoff, and several coupled-channel states have RMS radii around 0.5 fm that are inconsistent with typical molecular sizes. That transparency is a genuine strength. The central weakness is that some headline states exist only at cutoffs far above the paper's own 'reasonable' value, and no form-factor or uncertainty test is provided.","major_comments":[{"comment":"The abstract's headline states Sigma_c Sigma with 1(1^-) and Sigma*_c Sigma with 1(2^-) bind only at cutoffs far above the value that Section II declares reasonable ('around 1.00 GeV'). Table XI shows the Sigma_c Sigma 1(1^-) state only for Lambda = 1.85, 1.90, 1.95 GeV, and Table XII shows Sigma*_c Sigma 1(2^-) only for Lambda = 1.80, 1.85, 1.90 GeV. These values sit near the upper edge of the scanned range 0.80 <= Lambda <= 2.00 GeV. Because the scan stops at 2.00 GeV, the appearance of bound states at these large cutoffs is a generic consequence of an attractive OBE potential and does not by itself discriminate physical molecules from regulator-driven artifacts. The paper needs a criterion, or an additional constraint, that explains why these high-cutoff states should be regarded as predictions rather than as an artifact of the chosen regulator range.","section":"Section III A, Tables XI and XII"},{"comment":"The phase-shift analysis uses the same OBE potentials and the same cutoff selection as the bound-state calculation, so it cannot independently 'confirm the existence of the predicted molecules' as claimed in the text and in the conclusions. The statement that resonances correspond to the previously predicted molecules is a self-consistency check, not a validation of the model: with the same potential and the same free cutoff, the phase shifts will necessarily reflect whatever bound or virtual states the potential produces. To make the confirmation meaningful, the authors would need to show that the resonance positions and widths are stable under changes of the regulator shape, or that they are constrained by some external input such as scattering data.","section":"Section III B"},{"comment":"No uncertainty quantification or alternative form-factor shape is considered. The monopole form factor F(q^2,m_E^2) = (Lambda^2 - m_E^2)/(Lambda^2 - q^2) is the only regulator used, and Lambda is stated in Section III to be the only free parameter. The paper does not test a dipole form factor or any other shape, even though shallow P-wave bound states are known to be sensitive to the short-range part of the potential. Since several predicted states have binding energies of only a few MeV and appear only for Lambda near 1.8-2.0 GeV, a different regulator shape could easily remove them. The authors should either perform such a test or explicitly restrict the claims to the monopole form factor and discuss the resulting uncertainty in the predicted spectrum.","section":"Section II and Section III"}],"minor_comments":[{"comment":"The text states that 'the reasonable cutoff value is taken around 1.00 GeV' based on nucleon-nucleon experience, but Tables XI and XII later quote binding at Lambda = 1.85-1.95 GeV. This tension should be addressed directly in the text, not only through tables.","section":"Section II"},{"comment":"There are several typographical errors: 'agian' should be 'again', 'unites' in table captions should be 'units', and the sentence 'we can see that that the numerical results' has a duplicated 'that'. The manuscript should be proofread.","section":"Section III A"},{"comment":"The axis labels and legends in Figure 1 appear garbled in the manuscript text, with strings such as '/s51/s53/s48/s48' where mathematical notation should appear. The figure needs to be regenerated or the encoding fixed.","section":"Figure 1"},{"comment":"The summary text contains 'Ξ(′,)' where it should presumably read 'Ξ'_c and Ξ*_c' or similar; this typo makes the sentence 'the ΞcN/Ξ′cN/Ξ∗cN coupled resonances with 0(1−) is close to the Ξ(′,)c molecules' unclear.","section":"Section IV"}],"recommendation":"major_revision","confidential_remarks":"The manuscript is methodologically transparent and the authors already exercise useful judgment by excluding small-radius states from their molecular-candidate list. The main issue is that the cutoff dependence is not just a caveat but is load-bearing for two of the abstract's headline states. I am recommending major revision rather than rejection because the calculations and presentation are otherwise sound, and the authors could address the concern by adding a form-factor-shape test, a physical criterion for acceptable cutoffs, or by explicitly reframing the high-cutoff states as model-dependent predictions."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Colleague,\n\nThis paper is a systematic OBE coupled-channel study of P-wave charmed-baryon–light-baryon interactions, extending the authors' earlier S-wave work to negative parity. The new output is a catalog of predicted molecules and resonances: Ξ'_cN 0(1^-), Ξ*_cN 0(0^-,1^-,2^-), Σ_cΣ 0(1^-), Σ*_cΣ 0(0^-,1^-,2^-), plus shape-type and Feshbach-type resonances. The machinery is presented in enough detail to reproduce—potentials, matrix elements, tables of binding energies, radii, and channel probabilities—and the authors are honest about which coupled-channel solutions have RMS radii too small to count as molecules. That transparency earns credit. Also, the predictions are not fitted to the target states; the couplings come from NN and heavy-quark symmetry, so the circularity concern is minimal.\n\nThe soft spots are about the regulator, and they are not all equal. Some states bind at defensible cutoffs: Σ_cΣ 0(1^-) around 1.1 GeV, Σ*_cΣ 0(0^-,1^-,2^-) around 1.05–1.15 GeV, Ξ*_cN isoscalars around 1.28–1.35 GeV. Those are above the nominal 1.0 GeV benchmark but within the scanned range and not alarming by OBE standards. The problem is two isovector states in the abstract and summary: Σ_cΣ 1(1^-) only binds at Λ = 1.85–1.95 GeV and Σ*_cΣ 1(2^-) only at Λ = 1.80–1.90 GeV, per Tables XI and XII. The paper calls both 'molecular candidates' without flagging that they sit at the far edge of the cutoff range, far from the 'reasonable cutoff around 1.00 GeV' stated in Section II. That is a real overreach. The phase-shift analysis in Section III.B is also not independent confirmation—it uses the same potentials and the same cutoff logic, so it can only show the model is self-consistent. There is no form-factor variation or uncertainty estimate, so shallow bindings at high cutoff should be read as regulator artifacts until shown otherwise.\n\nThe stress-test note says the spectrum is regulator-driven. That is too strong for the low-cutoff isoscalars, which are robust within the model, but it is exactly right for the two isovector headline states. The paper also does not discuss whether monopole vs dipole regulators would remove shallow P-wave states; that omission matters.\n\nWho is this for: practitioners of OBE hadron spectroscopy who want a prediction catalog to compare with future searches. It deserves a serious referee—the calculation is detailed, reproducible, and the literature context is adequate. The referee should push for a cutoff-variation table for each candidate and an explicit caveat for the high-cutoff states. I would not cite it in my own work next year, but I would send it to review.","headline":"Systematic P-wave OBE catalog of negative-parity charm-strange dibaryons, but two headline states only bind at cutoffs near 1.9 GeV, so treat the spectrum as model-dependent.","tokens_in":33631,"tokens_out":4252,"would_cite":false,"duration_ms":40281,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"deepseek-v4-flash","headline":"The paper predicts ten negative-parity charm-strange dibaryon molecular candidates and several shape- and Feshbach-type resonances by solving coupled-channel Schrödinger equations with one-boson-exchange potentials.","keywords":["charm-strange dibaryons","hadronic molecules","one-boson-exchange model","P-wave interactions","coupled-channel Schrödinger equations","negative parity","Feshbach resonance","shape-type resonance"],"falsifier":"A lattice QCD calculation of the $I=0$ $\\Xi_c^*N$ P-wave channel at physical quark masses that finds no shallow bound state near the $\\Xi_c^*N$ threshold, or an experimental search that sees no resonance at the predicted energy in charm-strange dibaryon production, would falsify the molecular prediction.","tokens_in":32555,"feed_emoji":"⚛️","tokens_out":8344,"duration_ms":87268,"temperature":0.7,"pith_summary":"The paper predicts a family of charm-strange dibaryons—states made of a charmed baryon and a light baryon—that carry negative parity because their relative orbital motion is a P-wave. The authors derive baryon-baryon forces from one-boson-exchange effective potentials and solve the coupled-channel Schrödinger equation, obtaining ten weakly bound molecular candidates with binding energies from a few to tens of MeV. They also identify shape-type and Feshbach-type resonances in the same systems, some of which are not independent states but the unbound counterparts of the predicted molecules. The value of the claim is that it extends the hadronic-molecule picture, so far concentrated on S-wave states, into P-wave channels where a centrifugal barrier makes binding harder and resonances more likely.","feed_headline":"Ten negative-parity charm-strange dibaryon molecules predicted","feed_subtitle":"P-wave meson exchange plus coupled channels binds charmed and light baryons into molecules and resonances.","key_machinery":"The carrying object is the coupled-channel Schrödinger equation fed with one-boson-exchange (OBE) effective potentials. These potentials come from effective Lagrangians for charmed-baryon–light-baryon interactions and are regulated by a monopole form factor whose cutoff $\\Lambda$ is the only free parameter, varied from 0.80 to 2.00 GeV. In a P-wave the two baryons have one unit of relative orbital angular momentum, and the resulting centrifugal barrier can trap the system long enough to produce shape resonances, while coupling between channels with different thresholds produces Feshbach resonances. Bound states are identified by binding energy and RMS radius, while resonances are located from phase shifts crossing $\\delta(E_r)=(n+1/2)\\pi$, with widths $\\Gamma_r=2/(d\\delta/dE)$.","core_discovery":"The central claim is that the P-wave interactions between charm-strange baryons ($\\Xi_c$, $\\Xi_c'$, $\\Xi_c^*$, $\\Sigma_c$, $\\Sigma_c^*$) and light baryons ($N$, $\\Lambda$, $\\Sigma$), described by one-boson-exchange potentials, produce weakly bound molecular states with negative parity. In detail, the paper predicts a $\\Xi_c'N$ molecule with $I(J^P)=0(1^-)$, $\\Xi_c^*N$ molecules with $0(0^-,1^-,2^-)$, $\\Sigma_c\\Sigma$ molecules with $0(1^-)$ and $1(1^-)$, and $\\Sigma_c^*\\Sigma$ molecules with $0(0^-,1^-,2^-)$ and $1(2^-)$. Coupled-channel effects are decisive for the $\\Sigma_c\\Sigma$ molecule with $1(1^-)$, which does not bind as a single channel but does when the $\\Sigma_c^*\\Sigma$ channel is included. Phase-shift analysis adds a $\\Sigma_c\\Sigma$ shape-type resonance with $1(1^-)$, a $\\Sigma_c^*\\Sigma$ shape-type resonance with $1(0^-)$, and coupled Feshbach-type resonances in $\\Lambda_c\\Sigma/\\Sigma_c\\Sigma$ with $1(1^-)$ and in $\\Lambda_c\\Sigma/\\Sigma_c^*\\Sigma$ with $1(0^-,2^-)$.","pith_inferences":["If the OBE pattern holds, analogous P-wave charm-bottom or doubly charmed dibaryons should be examined, where heavier masses may change which channels bind.","The predicted Feshbach resonances imply that inclusive production of charm-strange pairs could show cusps at the $\\Sigma_c\\Sigma$ and $\\Sigma_c^*\\Sigma$ thresholds even if the bound molecules are difficult to reconstruct.","A future measurement of the cutoff dependence of any one of these states would provide a sharp test of whether the same meson-exchange couplings transfer from S-wave to P-wave charmed-baryon systems."],"forward_implications":["If the central prediction is right, charm-strange dibaryons would be the first family of negative-parity hadronic molecules built from a charmed baryon and a light baryon.","The $\\Sigma_c\\Sigma$ state with $I(J^P)=1(1^-)$ shows that a molecule can appear only after coupled-channel effects are included, so single-channel estimates would miss it.","Several predicted resonances sit at or near the $\\Xi_c^*N$ and $\\Sigma_c^*\\Sigma$ thresholds, implying that future searches should see threshold enhancements that trace back to the same molecular states.","The binding energies of a few to tens of MeV and RMS radii near 1 fm distinguish these objects from compact multiquark states, giving experiments a size-and-binding discriminant."],"supporting_citations":[{"why":"Previous study of S-wave $\\Xi_c^{(',*)}\\mathrm{N}$ interactions that this paper extends to P-wave and to coupled channels.","marker":"[49]"},{"why":"Quasipotential OBE study of charmed-strange dibaryons whose S-wave bound states motivate the present channel set.","marker":"[50]"},{"why":"Chiral quark model search for singly charmed dibaryons, providing the contrasting framework for the molecular interpretation.","marker":"[52]"},{"why":"Source of the argument that a cutoff near 1.00 GeV is reasonable for meson-exchange potentials, anchoring the only free parameter.","marker":"[60]"},{"why":"Companion analysis fixing the cutoff scale for deuteron-like meson-meson bound states, used to justify the same range here.","marker":"[61]"},{"why":"Effective Lagrangians and coupling relations connecting charmed-baryon couplings to nucleon-nucleon couplings.","marker":"[62]"},{"why":"Provides the high-precision charge-dependent nucleon-nucleon coupling constants used to fix heavy-baryon couplings.","marker":"[63]"},{"why":"Supplies the meson-exchange nucleon-nucleon couplings and form-factor conventions inherited by the OBE potentials.","marker":"[64]"},{"why":"Source of phenomenological nucleon-nucleon coupling constants adopted in the calculation.","marker":"[65]"},{"why":"Identification of the G(3900) as a P-wave $D\\bar{D}^*$ molecular resonance, the experimental motivation for studying P-wave hadronic molecules.","marker":"[40]"}],"fun_headline_variants":["Ten negative-parity charm-strange dibaryon molecules predicted","Coupled channels bind charm-strange baryons into negative-parity molecules","P-wave interactions predict ten charm-strange dibaryon molecules","Negative-parity charm-strange dibaryon molecules emerge via P-wave","Coupled-channel effects yield charm-strange dibaryon molecules"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The predictions stand or fall on the assumption that the meson-exchange force between a charmed baryon and a light baryon, with a single adjustable cutoff near 1 GeV, accurately describes their P-wave interaction; the paper notes binding energies are highly sensitive to this cutoff.","fun_headline_variants_meta":{"raw":{"variants":["Ten negative-parity charm-strange dibaryon molecules predicted","Coupled channels bind charm-strange baryons into negative-parity molecules","P-wave interactions predict ten charm-strange dibaryon molecules","Negative-parity charm-strange dibaryon molecules emerge via P-wave","Coupled-channel effects yield charm-strange dibaryon molecules"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.001407,"raw_usage":{"total_tokens":5796,"prompt_tokens":1169,"completion_tokens":4627,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":785,"completion_tokens_details":{"reasoning_tokens":4537}},"tokens_in":785,"tokens_out":4627,"duration_ms":35258,"temperature":1.0,"reasoning_tokens":4537,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-06T16:33:47.391731+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"A lattice QCD calculation of the $I=0$ $\\Xi_c^*N$ P-wave channel at physical quark masses that finds no shallow bound state near the $\\Xi_c^*N$ threshold, or an experimental search that sees no resonance at the predicted energy in charm-strange dibaryon production, would falsify the molecular prediction.","supporting_citations":[{"cited_title":"Ohkoda, Y","cited_arxiv_id":null,"evidence_quote":"Previous study of S-wave $\\Xi_c^{(',*)}\\mathrm{N}$ interactions that this paper extends to P-wave and to coupled channels."},{"cited_title":"Ohkoda, Y","cited_arxiv_id":null,"evidence_quote":"Quasipotential OBE study of charmed-strange dibaryons whose S-wave bound states motivate the present channel set."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Chiral quark model search for singly charmed dibaryons, providing the contrasting framework for the molecular interpretation."},{"cited_title":"Pakhlova et al","cited_arxiv_id":null,"evidence_quote":"Source of the argument that a cutoff near 1.00 GeV is reasonable for meson-exchange potentials, anchoring the only free parameter."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Companion analysis fixing the cutoff scale for deuteron-like meson-meson bound states, used to justify the same range here."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Effective Lagrangians and coupling relations connecting charmed-baryon couplings to nucleon-nucleon couplings."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Provides the high-precision charge-dependent nucleon-nucleon coupling constants used to fix heavy-baryon couplings."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Supplies the meson-exchange nucleon-nucleon couplings and form-factor conventions inherited by the OBE potentials."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Source of phenomenological nucleon-nucleon coupling constants adopted in the calculation."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Identification of the G(3900) as a P-wave $D\\bar{D}^*$ molecular resonance, the experimental motivation for studying P-wave hadronic molecules."}],"review_version":1}