{"id":"4a13bf30-007e-4bc3-9bd2-df4a72657559","arxiv_id":"2506.09262","paper_version":3,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":4.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":1,"one_line_summary":"Anticharmed meson plus strange baryon systems are predicted to form bound molecules at S=-1 and S=-2, but not at S=-3 or S=-4.","lead":"This paper predicts new exotic baryons made of an anticharmed meson and a strange baryon, bound together like molecules. The predictions give experimenters specific masses and strangeness sectors to search for states that have not been seen yet.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"S=-2 bound-state claim is not robust under the paper's own cutoff scan: binding drops from 27 MeV at qmax=630 to ~1 MeV at qmax=560 and vanishes below ~550, so the qualitative existence of this state rests on a cutoff that is transferred rather than calibrated to anticharm-strange channels.","rationale":"The reader's weakest-assumption analysis already identified the qmax transfer as the fragile point, and I agree with that identification. My stress-test confirms that this is the load-bearing issue: the S=-2 state is the most cutoff-sensitive item in the paper, and its existence is not stable across the lower part of the cutoff range the authors themselves consider. However, the concern does not overturn the paper. The formalism is standard, the S=-1 bound state persists over the whole scanned range, and the S=-3,-4 repulsion follows from positive C coefficients and is insensitive to the cutoff. The shortcomings are addressable by a dedicated cutoff scan, cleaner tables, and a code release; they do not invalidate the model. A CONDITIONAL verdict remains appropriate, so I recommend no change to the reader's verdict.","tokens_in":16558,"tokens_out":10570,"duration_ms":121194,"concrete_test":"Independently recompute the S=-2, I=0 coupled-channel amplitude using the C matrix of Table II, thresholds of Table IX, and Eqs. (16)-(20), scanning qmax in 5 MeV steps from 520 to 650 MeV. Record the qmax at which the pole crosses the Dbar_s Lambda threshold and compare that crossing value with the qmax values used in Refs. [76] (600 MeV) and [42] (650 MeV). If the pole is bound across the full 600-650 MeV interval, the S=-2 existence claim survives the cutoff-transfer concern; if it is bound only above some value inside that interval, the paper should downgrade the S=-2 state to a regularization-dependent prediction rather than a firm prediction.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The most load-bearing assumption is that the cutoff qmax=630 MeV, taken from the light-meson-baryon calculation of Ref. [17] and bracketed by qmax=600 MeV (Pcs, Ref. [76]) and qmax=650 MeV (Omega_c, Ref. [42]), remains valid for the anticharm-strange channels studied here. The paper's own Table XIV shows how strong this assumption is for the S=-2 sector: the Dbar_s Lambda/Dbar Xi pole lies at 3071 MeV for qmax=600, at 3057 MeV for qmax=630, and at 3083 MeV for qmax=560, i.e. only about 1 MeV below the 3084.03 MeV Dbar_s Lambda threshold. The text then states that below qmax=550 MeV the pole moves above threshold and becomes a resonance. Thus the qualitative statement that S=-2 supports a bound state is not stable across the full range of cutoffs the authors themselves consider; it survives only for qmax at or above roughly 560 MeV, and although the calibrated values (600 and 650 MeV) do sit in that region, the margin at the low end is greatly reduced. The same pattern appears in the S=-1 I=3/2 sector, where a repulsive diagonal channel generates a weakly bound state only for qmax>630 MeV, showing that cutoff-induced coupled-channel attraction can produce spurious states. The authors concede in Section IV that experimental measurement would be needed to tune the parameters, which is an explicit admission that qmax is not currently constrained for these channels. The abstract's claim of 'qualitative stability' is therefore too strong for the S=-2 existence claim, although it remains fair for the S=-1 state, which is bound throughout 550-650 MeV, and for the S=-3,-4 null sectors, which are driven by repulsive C coefficients.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"The manuscript studies anticharmed-meson–strange-baryon systems in strangeness sectors S = -1, -2, -3, -4 using the extended local hidden gauge approach. The authors construct coupled-channel interaction kernels from vector-meson exchange, solve the on-shell factorized Bethe-Salpeter equation with a cutoff regularization, and report dynamically generated bound states in S = -1 and S = -2, including both octet and decuplet baryons. The main predictions are an S = -1, I = 1/2 state near 2888 MeV, an S = -2, I = 0 state near 3057 MeV, analogous decuplet states, deeper bound states in the Dbar* and Dbar*_s vector-baryon systems, and no poles in S = -3 or S = -4. A cutoff scan between 550 and 650 MeV is used to estimate uncertainties, and the results are compared with earlier quark-model and molecular predictions.","tokens_in":16790,"tokens_out":6933,"duration_ms":74437,"significance":"If the predictions are robust, they provide concrete, falsifiable masses, dominant channels, and couplings for exotic multistrange-anticharm hadronic molecules, extending the molecular picture to a new sector and offering guidance for LHCb, Belle II, and BESIII searches. The paper's strengths include transparent Cij tables, a standard unitarization scheme, explicit cutoff-variation tables, and a balanced comparison with earlier work. The main scientific value lies in the strangeness dependence: attraction in S = -1 and S = -2, repulsion in S = -3 and S = -4. However, the significance is tempered by the fact that the existence of the S = -2 bound state depends on a cutoff transferred from other sectors, and the uncertainty analysis does not fully establish the claimed qualitative stability.","major_comments":[{"comment":"The existence of the S = -2, I = 0 bound state is not stable across the cutoff range the authors themselves consider. Table XIV gives pole positions of 3083, 3071, 3057, and 3046 MeV for qmax = 560, 600, 630, and 650 MeV, while the Dbar_s Lambda threshold is 3084.03 MeV; the 560 MeV point is bound by less than 1 MeV, and the text states that for qmax below about 550 MeV the pole moves above threshold and becomes a resonance. Since qmax = 630 MeV is calibrated in the Pcs and Omega_c sectors (Refs. [76,42]) and is not independently constrained for anticharm-strange channels, the abstract's claim of qualitative stability is too strong for the S = -2 existence claim. Please either restrict the bound-state claim to the calibrated window, quantify the sensitivity to the transferred cutoff, or provide a channel-specific constraint.","section":"Sec. III B, Table XIV; Sec. IV"},{"comment":"The S = -1 I = 3/2 state is handled asymmetrically: it is said to appear only when qmax exceeds 630 MeV, but no pole position or couplings are tabulated, and the adopted central cutoff is exactly 630 MeV. Because this state arises from coupled-channel attraction that overcomes a repulsive diagonal interaction precisely at the cutoff boundary, it is a prime example of a possible cutoff artifact. It should either be analyzed quantitatively, with its pole position and couplings reported, or be explicitly removed from the conclusions, since it weakens the robustness claim that underlies the paper's central predictions.","section":"Sec. III A, I = 3/2 paragraph; Sec. V"}],"minor_comments":[{"comment":"The row labels in Table V appear to be a typo: the rows should be labeled Dbar_s Sigma* and Dbar Xi*, matching the column labels, rather than Dbar_s Lambda and Dbar Xi.","section":"Table V"},{"comment":"In the vector-baryon threshold table, the entries in the 'States' row mix notations: the last two entries should presumably be Dbar*_s Xi* and Dbar* Omega, not Dbar_s Xi* and Dbar Omega, and the threshold 3644 seems to be missing a decimal place or should be recomputed.","section":"Table XVIII"},{"comment":"Equation (3) is an empty numbered equation; it should be removed or renumbered to avoid confusion.","section":"Eq. (3)"},{"comment":"The caption contains the typo 'issopin' and should read 'isospin'.","section":"Table XII caption"},{"comment":"The estimate that the form factor of Ref. [73] reduces vector exchange by a factor 0.57 assumes the momentum transfer q^2 is negligible relative to Lambda^2; this assumption should be stated explicitly, since the form factor is momentum dependent.","section":"Sec. IV, form-factor discussion"}],"recommendation":"major_revision","confidential_remarks":"The manuscript is technically sound within its chosen formalism, and the comparison with previous works is balanced. I see no grounds for rejection. The main risk is that the S = -2 bound-state prediction is controlled by the transferred cutoff; if the authors can convincingly narrow this uncertainty, for example by extending the cutoff calibration to strangeness sectors or by showing the bound state persists over a physically motivated qmax range, the paper would merit acceptance."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Bottom line: this is a useful systematic survey, not a breakthrough. If you work on heavy-flavor hadronic molecules, you'll want it on file; if you use its predictions, hold the S=-2 state at arm's length.\n\nThe genuinely new pieces are the extension to decuplet baryons, the vector-meson versions, and the S=-3/-4 null sectors, together with the full C-coefficient tables for every isospin configuration. The Bethe-Salpeter machinery is standard, the equations are reproducible from the text, and the authors are honest about what changes with qmax. I see no circularity: the kernels come from an effective Lagrangian, and the cutoff is anchored to Pcs and Omega_c states from earlier work, not to the states being predicted. The S=-1 and S=-2 octet bound states are not new, since Refs. [48] and [73] already found them, but the paper acknowledges this and documents why its binding energies differ.\n\nThe soft spots are real, though proportionate. The S=-2 state is the fragile one. At qmax=560 MeV it sits about 1 MeV below the DsLambda threshold; below 550 MeV the pole moves above threshold and becomes a resonance. Binding varies from roughly 1 to 38 MeV over the 560-650 window. That does not kill the prediction, because the calibrated values (600 and 650 MeV) both give a bound state, but it does mean the abstract's \"qualitative stability\" is too strong for S=-2. The S=-1 octet state survives over the full 550-650 range, and the S=-3/-4 null results follow from repulsive C coefficients, so those parts are on firmer ground.\n\nThe I=3/2 S=-1 state that appears only for qmax>630 MeV and is not tabulated deserves more caution than it gets; it has the signature of a cutoff-induced coupled-channel artifact. There are also a few garbled table entries in the decuplet sectors: Tables V and VI have mislabeled rows, and one threshold in Table XVI reads as 3.20171. Minor, but they need cleaning.\n\nWho is this for? Hadron spectroscopists and experimental colleagues hunting for exotic baryons at LHCb, Belle II, or BESIII. It gives them specific masses and dominant channels to look for, with an honest estimate of model dependence.\n\nMy recommendation: send it to review, and ask the referees to push the authors on a dedicated qmax study for the anticharm-strange channels, a clear treatment of the I=3/2 cutoff state, and corrected tables. This is not a desk reject.","headline":"A useful but model-dependent systematic survey of anticharm-strange molecular baryons; the S=-2 bound state is the soft spot because it barely survives the paper's own cutoff scan.","tokens_in":17506,"tokens_out":3432,"would_cite":true,"duration_ms":35687,"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":"Two new exotic baryons emerge from anticharm-strange binding","keywords":["exotic baryons","hadronic molecules","anticharmed mesons","strange baryons","coupled-channel Bethe-Salpeter equation","vector-meson exchange","bound-state predictions"],"falsifier":"A high-statistics search in $\\Lambda_b$ decays for narrow peaks at 2888 MeV and 3057 MeV in the $\\bar D_s N$ and $\\bar D_s \\Lambda$ invariant-mass spectra; finding neither with sensitivity to states a few MeV wide would falsify the central claim.","tokens_in":16195,"feed_emoji":"⚡️","tokens_out":8329,"duration_ms":75561,"temperature":0.7,"pith_summary":"This paper seeks to establish that anticharmed mesons and strange baryons can form hadronic molecules, and that the binding depends sharply on how many strange quarks are present. Solving coupled-channel equations with vector-meson exchange, it finds a bound state near 2888 MeV (about 18 MeV below the $\\bar D_s N$ threshold) for $S=-1$ and another near 3057 MeV (about 27 MeV below $\\bar D_s \\Lambda$) for $S=-2$. For $S=-3$ and $S=-4$ the same mechanism is repulsive and produces no states. The pattern matters because it converts a general molecular-binding idea into specific masses, quantum numbers, and a strangeness cutoff that experiments can look for.","feed_headline":"Anticharm-strange pairs bind into two exotic baryons","feed_subtitle":"Model predicts 2888 and 3057 MeV states, and none once strangeness reaches three.","key_machinery":"The machinery is the coupled-channel Bethe-Salpeter equation in its on-shell factorized form, $T=[1-VG]^{-1}V$, with kernel $V_{ij}=C_{ij}(k_0+k'_0)/(4f_\\pi^2)$ built from vector-meson exchange in the extended local hidden gauge approach. The coefficients $C_{ij}$ carry the SU(3) flavor structure and determine everything: they are attractive in the $S=-1$ and $S=-2$ sectors, repulsive in $S=-3$ and $S=-4$, and the off-diagonal transitions such as $\\bar D\\Sigma\\to\\bar D_s N$ add attraction beyond the diagonal terms. The loop function $G_i$ is regulated by a momentum cutoff $q_{\\rm max}=630$ MeV, and varying that cutoff is the paper's way of estimating uncertainty.","core_discovery":"The central claim is that the coupled channels $\\bar D_s N$, $\\bar D \\Lambda$, $\\bar D \\Sigma$ dynamically generate a bound state at about 2888 MeV with 18 MeV binding, and the coupled channels $\\bar D_s \\Lambda$, $\\bar D \\Xi$ generate a bound state at about 3057 MeV with 27 MeV binding. The first state has $I=1/2$ and its strongest coupling is to $\\bar D \\Sigma$, while the second has $I=0$ and is dominated by $\\bar D \\Xi$. Varying the cutoff $q_{\\rm max}$ between 550 and 650 MeV moves the $S=-1$ pole from 2906 to 2880 MeV and the $S=-2$ pole from 3083 to 3046 MeV, and below $q_{\\rm max}\\approx 550$ MeV the $S=-2$ state is no longer bound. In $S=-3$ and $S=-4$ all coefficients are repulsive, so no poles appear. Replacing $\\bar D$, $\\bar D_s$ by the vector mesons $\\bar D^*$, $\\bar D^*_s$ leaves the kernels essentially unchanged except for masses and produces slightly more deeply bound analogues.","pith_inferences":["The most cutoff-sensitive prediction is the $S=-2$ state, so measuring whether a peak near 3057 MeV exists or not is a sharper test of the parameter transfer than the $S=-1$ state, which survives the full 550–650 MeV range; the paper does not rank its predictions this way.","The claimed strangeness threshold suggests a pattern worth checking independently: binding is tied to the attractive $\\bar D\\Sigma$ and $\\bar D\\Xi$ diagonal channels, while the $s\\bar s$-exchange diagonal terms at higher strangeness flip repulsive, which could be tested by lattice QCD or by a calculation that separates single-channel and coupled-channel contributions.","If the cutoff transfer from previously fitted exotic states is the weakest link, then tying $q_{\\rm max}$ to data for a known anticharm-strange state, or computing the loop function with a different regulator, would tell whether the 3057 MeV state is a genuine prediction or an artifact of the chosen regularization."],"forward_implications":["A narrow exotic baryon with mass near 2888 MeV, isospin $1/2$, and a dominant $\\bar D\\Sigma$ coupling is predicted to show up in $\\bar D_s N$, $\\bar D\\Lambda$, or $\\bar D\\Sigma$ invariant-mass distributions.","A second narrow exotic baryon near 3057 MeV, with isospin $0$ and a dominant $\\bar D\\Xi$ component, is predicted in the $S=-2$ sector.","No such states should appear in the $S=-3$ and $S=-4$ sectors, so a resonance claimed there would indicate a different mechanism.","The $\\bar D^*_s N$, $\\bar D^*\\Lambda$, $\\bar D^*\\Sigma$ analogues should bind more deeply, with the $S=-1$ pole around 3028 MeV at the central cutoff.","The $I=3/2$ $\\bar D\\Sigma$ channel stays unbound unless the cutoff is pushed above 630 MeV, where weak coupled-channel attraction can produce a state."],"supporting_citations":[{"why":"supplies the $q_{\\rm max}=630$ MeV cutoff used as the central regularization value","marker":"[17]"},{"why":"the $P_{cs}$ state fit that provides the $q_{\\rm max}=600$ MeV variation and justifies transferring the cutoff","marker":"[76]"},{"why":"the $\\Omega_c$ state study that supplies the $q_{\\rm max}=650$ MeV variation, the vertex evaluation method, and the second-Riemann-sheet continuation","marker":"[42]"},{"why":"defines the wave function at the origin used to identify the dominant molecular component","marker":"[77]"},{"why":"earlier SU(4) coupled-channel calculation of the same sectors whose much larger bindings are compared and critiqued","marker":"[48]"},{"why":"single-channel meson-exchange calculation showing attraction in the $\\bar D\\Sigma$ and $\\bar D\\Xi$ channels","marker":"[72]"},{"why":"coupled-channel study of parts of the $S=-1$ sector whose form factors yield smaller bindings and motivate the present approach","marker":"[73]"},{"why":"shows how eliminating a coupled channel yields an effective potential quadratic in the transition, used to argue the transitions are essential","marker":"[86]"}],"fun_headline_variants":["Anticharm-strange pairs form two bound states","Strangeness 3 and 4 reject anticharm baryons","Model predicts two anticharm-strange baryons","Binding only with one or two strange quarks","Anticharm baryons bound only at low strangeness"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The load-bearing premise is that a regularization parameter borrowed from fits to the $P_{cs}$ and $\\Omega_c$ states ($q_{\\rm max}=630$ MeV) stays valid for these anticharm-strange channels, even though the $S=-2$ bound state disappears when that parameter is lowered to about 550 MeV.","fun_headline_variants_meta":{"raw":{"variants":["Anticharm-strange pairs form two bound states","Strangeness 3 and 4 reject anticharm baryons","Model predicts two anticharm-strange baryons","Binding only with one or two strange quarks","Anticharm baryons bound only at low strangeness"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000295,"raw_usage":{"total_tokens":1775,"prompt_tokens":1064,"completion_tokens":711,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":680,"completion_tokens_details":{"reasoning_tokens":631}},"tokens_in":680,"tokens_out":711,"duration_ms":11483,"temperature":1.0,"reasoning_tokens":631,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-07T04:53:18.498490+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"A high-statistics search in $\\Lambda_b$ decays for narrow peaks at 2888 MeV and 3057 MeV in the $\\bar D_s N$ and $\\bar D_s \\Lambda$ invariant-mass spectra; finding neither with sensitivity to states a few MeV wide would falsify the central claim.","supporting_citations":[],"review_version":1}