{"id":"9df0d9a4-854c-4327-9a53-8aa500f38604","arxiv_id":"2603.12654","paper_version":2,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":3,"one_line_summary":"Using one-boson-exchange potentials and superflavor symmetry, the authors predict many hadronic molecules of charmed mesons and doubly charmed baryons as partners of the Tcc tetraquark.","lead":"This paper predicts many new 'molecular' particles--bound and resonant states of a charmed meson with a doubly charmed baryon, and pairs of doubly charmed baryons--as partners of the LHCb tetraquark Tcc. It uses a symmetry between heavy antiquarks and heavy diquarks to reuse interaction parameters fitted to Tcc, and finds that the predicted spectra depend strongly on an uncertain sigma-meson coupling.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"Superflavor transfer of the cutoff Λ is the load-bearing assumption; it is fitted to Tcc, not fixed by the symmetry, and the predicted spectra are highly sensitive to it.","rationale":"The reader's weakest assumption—the transfer of the Tcc cutoff and couplings to the superflavor-partner systems—is indeed the load-bearing point. I agree with that identification and sharpen it: the cutoff is especially problematic because it is not a symmetry-determined quantity but a fitted short-distance parameter. The paper's own two choices for gσ produce large shifts in the predicted binding energies, including extremely shallow states, so the results are sensitive to the parameter-transfer assumption. However, this is a model-dependence concern rather than an internal inconsistency; the formalism and numerics appear coherent and consistent with earlier work [38]. Therefore the appropriate verdict remains CONDITIONAL: the central claim is plausible but depends on an untested assumption that should be flagged explicitly, and the proposed lattice check would either support or falsify it.","tokens_in":17324,"tokens_out":9089,"duration_ms":94744,"concrete_test":"Perform a lattice QCD calculation of the \\bar{D}\\Xi_{cc} potential (or scattering phase shifts) using the HAL QCD method at physical quark masses, extract the I=0, J^P=1/2^- spectrum, and compare with the predicted bound state at B=7.76/20.4 MeV below threshold. This directly tests whether the Tcc-fitted cutoff and couplings survive transfer to a channel containing a doubly charmed baryon.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim rests on transferring the Tcc parameters, in particular the dipole cutoff Λ, to \\bar{D}^{(*)}\\Xi_{cc}^{(*)} and \\Xi_{cc}^{(*)}\\Xi_{cc}^{(*)}. In Sec. III, Λ is fitted to the Tcc binding energy separately for gσ^L (Λ_L=1074.6 MeV) and gσ^S (Λ_S=1682.4 MeV), then used unchanged in the new systems. But Λ is not a coupling dictated by superflavor symmetry; it is a short-distance regulator/parameter tied to the hadronic size and to the DD* dynamics used in the fit. Doubly charmed baryons contain an extended cc diquark, have different reduced masses and antisymmetrization, so the same Λ is an assumption, not a consequence of the symmetry. The predictive content is also fragile: the gσ ambiguity alone changes B(\\bar{D}\\Xi_{cc};0(1/2^-)) from 7.76 to 20.4 MeV, and B(\\Xi_{cc}\\Xi_{cc};0(1^+)) from 24.7 to 67.4 MeV; the I=1(1+) \\Xi_{cc}\\Xi_{cc} bound state has only B=0.059 MeV. No estimate of 1/m_c superflavor-breaking or cutoff-systematic uncertainty is given. The computation is internally consistent and agrees with Ref. [38], but the assumption is not yet validated.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"The paper investigates whether the doubly charmed tetraquark T_cc, interpreted as a D(*)D(*) hadronic molecule, has superflavor partners in the systems \\bar{D}^{(*)} Ξ_{cc}^{(*)} and Ξ_{cc}^{(*)} Ξ_{cc}^{(*)}. Using heavy quark spin symmetry and superflavor symmetry, the authors construct one-boson-exchange potentials (π, ρ, ω, σ) with the same couplings as for the T_cc system. The cutoff Λ is fixed to reproduce the T_cc binding energy (340 keV) for each of two choices of the σ coupling constant (g_σ^L=3.4, g_σ^S=0.76), yielding Λ_L=1074.6 MeV and Λ_S=1682.4 MeV. Solving the coupled-channel Schrödinger equation with Gaussian expansion and complex scaling, they find numerous bound states and Feshbach resonances. Examples include \\bar{D}Ξ_{cc} with I(J^P)=0(1/2^-) at B=7.76 MeV (g_σ^L) or 20.4 MeV (g_σ^S), and Ξ_{cc}Ξ_{cc} with 0(1^+) at B=24.7 or 67.4 MeV. The spectra are shown to depend significantly on the uncertain σ coupling, and the results are compared with the previous study in Ref. [38].","tokens_in":17669,"tokens_out":6454,"duration_ms":59900,"significance":"If the superflavor transfer of parameters is valid, this work provides a rich set of concrete, experimentally testable predictions for doubly charmed molecular states beyond T_cc, thereby extending the hadronic-molecule program. The numerical implementation is careful: the coupled-channel framework is standard, the complex-scaling method is appropriate for resonances, and the agreement with Ref. [38] in the overlapping channel shows internal consistency. The paper also honestly exposes the strong dependence on the σ-coupling ambiguity. However, the predictive power is limited by the uncontrolled short-distance regulator and by the unobserved Ξ_cc^* mass, both of which are central to the claimed bound/resonant states. The contribution is a useful phenomenological exploration rather than a robust prediction.","major_comments":[{"comment":"The Ξ_cc^* mass is not experimentally known and is set by the superflavor relation m_{Ξ_cc^*}-m_{Ξ_cc}=3/4 (m_{D^*}-m_D). This is another symmetry input subject to 1/m_c corrections. Many channels involve Ξ_cc^*, and some predicted states are extremely shallow — e.g., the I(J^P)=1(1^+) bound state in Table VII has B=0.059 MeV for g_σ^L. A modest shift in the Ξ_cc^* mass, or in the associated threshold, could eliminate this state and alter the coupled-channel dynamics for others. The authors should discuss the sensitivity of their results to the unmeasured Ξ_cc^* mass or provide a range of values.","section":"Sec. II, Eq. (21); Sec. III, Table VII"},{"comment":"The paper's central claim—that many bound and resonant states exist—is strongly parameter-dependent. The abstract itself states the mass spectra depend significantly on the σ coupling. Concretely, I=1 states appear only for g_σ^L (e.g., \\bar{D}^{(*)}Ξ_{cc}^{(*)} 1(1/2^-) in Table IV and Ξ_{cc}^{(*)}Ξ_{cc}^{(*)} 1(0^+),1(1^+) in Table VII), while for g_σ^S they are absent. Binding energies vary by factors of 2–3 between the two parameter sets. The paper should either find a way to constrain g_σ further, or explicitly frame the predictions as conditional on the uncertain σ coupling with a clear statement of which qualitative conclusions (if any) are robust. As written, the reader cannot tell whether the existence of any specific state is a solid prediction.","section":"Sec. III and Sec. IV, Conclusions"}],"minor_comments":[{"comment":"The summary states that the binding energy for g_σ^S is “smaller” than for g_σ^L, contradicting Sec. III A and Table IV, where it is larger (20.4 MeV vs 7.76 MeV). This is likely a typo but is confusing for the reader.","section":"Sec. IV (Summary), first paragraph on \\bar{D}^{(*)}Ξ_{cc}^{(*)}"},{"comment":"The channel lists contain period marks instead of commas between entries, e.g., “4D3/2.6G3/2” in the 5/2^- row of Table III and similar in Table VI. Please correct the punctuation.","section":"Tables III and VI"},{"comment":"The expression for the potential in momentum space is garbled: “V(q) =i iMqQ i 2mi Q f 2mf” is not readable. It should presumably be V(q) = - i M / (2 m_i 2 m_f) multiplied by appropriate factors. Please rewrite.","section":"Eq. (16)"},{"comment":"The displayed Lagrangian for heavy meson–vector-meson coupling has typesetting errors (e.g., “√2βgV ¯Db ¯Da†vα ˆρa2 √2λgV ...” appears to be missing a term). Please check the equation aligns with the text description.","section":"Eq. (4)"}],"recommendation":"major_revision","confidential_remarks":"The manuscript is a straightforward application of a well-established OBE model to new systems, and the numerical work appears sound. The main obstacle to acceptance is the unquantified transfer of the cutoff parameter and the sensitivity of the qualitative predictions to this and to the σ-coupling ambiguity. If the authors can add a cutoff-variation study and a discussion of the Ξ_cc^* mass uncertainty, the paper would be considerably strengthened. In its current form, the claims are too fragile to justify publication as-is."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Dear colleague,\n\nThe thing to know: this is a solid, internally consistent one-boson-exchange study that extends the Tcc molecular picture to \\bar{D}^{(*)} \\Xi_{cc}^{(*)} and \\Xi_{cc}^{(*)} \\Xi_{cc}^{(*)}. The genuinely new pieces are the \\Xi_{cc}\\Xi_{cc} bound states, the higher-spin Feshbach resonances, and the systematic scan over the uncertain sigma coupling. The paper is honest that the spectra shift a lot between the two sigma choices; it doesn't oversell the predictions.\n\nWhat it does well: the formalism is standard and carefully laid out, with the Gaussian expansion and complex scaling methods giving results that agree with Ref. [38] where they overlap. That agreement is a good sanity check. The g_sigma dependence analysis is useful for seeing which states are robust and which are merely borderline.\n\nThe weak point is exactly what the stress-test says: the cutoff \\Lambda is fitted to Tcc's binding energy and then transferred to the partner systems, but \\Lambda is not a coupling dictated by superflavor symmetry. It is a short-distance regulator tied to hadronic size, and a doubly charmed baryon contains an extended cc diquark, so the transfer is plausible but unverified. The sigma coupling ambiguity compounds this: B(\\bar{D}\\Xi_{cc}) goes from 7.8 to 20.4 MeV and B(\\Xi_{cc}\\Xi_{cc}) from 24.7 to 67.4 MeV between the two g_sigma values. Some states, like the I=1(1+) \\Xi_{cc}\\Xi_{cc} bound state at 0.059 MeV, are so shallow that they are likely an artifact of the specific parameters. The paper gives no estimate of 1/m_c breaking or cutoff variation. These are model uncertainties, not internal contradictions; the computation itself looks correct.\n\nWho this is for: hadron spectroscopists working on molecular states. A reader gets a concrete set of predictions that lattice QCD or future experiments could test. It won't change the framework, but it is a legitimate extension of the Tcc molecular model.\n\nMy recommendation: yes, send it to peer review. A referee should ask for a sensitivity analysis around the cutoff transfer and for a clearer statement of what is robust, but the work is grounded and reproducible enough to deserve referee time. I probably wouldn't cite it in my own papers, but I'd bring it up in a reading group on exotics.\n\nBest.","headline":"A competent OBEP study extending the Tcc picture to doubly charmed baryon molecules; the new predictions are worth having, but the transfer of the cutoff from Tcc is assumed, not derived, and the sigma coupling ambiguity makes the numerical results fragile.","tokens_in":18167,"tokens_out":2252,"would_cite":false,"duration_ms":22976,"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":"Superflavor symmetry, applied to the observed Tcc tetraquark, predicts that the \\bar{D}^{(*)}\\Xi_{cc}^{(*)} and \\Xi_{cc}^{(*)}\\Xi_{cc}^{(*)} systems bind into a family of hadronic molecules whose masses depend sensitively on the unknown sig","keywords":["superflavor symmetry","heavy quark-diquark symmetry","hadronic molecules","Tcc tetraquark","one-boson exchange potential","doubly charmed baryons","exotic hadrons","Feshbach resonances"],"falsifier":"A lattice QCD calculation of $\\bar{D}\\Xi_{cc}$ scattering in the $0(1/2^-)$ channel, or of $\\Xi_{cc}\\Xi_{cc}$ in $0(1^+)$, would settle the central claim: the paper predicts bound-state poles at approximately 7.8/20.4 MeV and 24.7/67.4 MeV below the respective thresholds, so the absence of a pole in either channel would rule out the parameter-transfer assumption. On the experimental side, a search for a narrow structure in the $\\bar{D}\\Xi_{cc}$ invariant mass spectrum near threshold, or in the $\\Xi_{cc}\\Xi_{cc}$ spectrum, would provide a direct test.","tokens_in":17223,"feed_emoji":"⚛️","tokens_out":10723,"duration_ms":85169,"temperature":0.7,"texified_at":"2026-08-05T21:01:07.815889+00:00","pith_summary":"The paper argues that the same one-boson-exchange interaction that binds the doubly charmed tetraquark Tcc—interpreted as a $D D^*$ molecule—also binds a family of partner systems obtained by replacing the anti-charmed meson $\\bar{D}^{(*)}$ with its superflavor partner, the doubly charmed baryon $\\Xi_{cc}^{(*)}$. Using pion, rho, omega and sigma exchange with the cutoff and couplings fixed to reproduce the 340 keV binding of Tcc, the authors find an isoscalar 0(1/2^-) $\\bar{D}\\Xi_{cc}$ bound state at 7.8 or 20.4 MeV below threshold and an isoscalar 0(1^+) $\\Xi_{cc}\\Xi_{cc}$ bound state at 24.7 or 67.4 MeV, the two values reflecting two choices for the uncertain sigma coupling. They also find many Feshbach resonances in higher-spin channels. These predictions give experimental and lattice targets and a way to determine the sigma coupling.","texify_model":"deepseek-v4-flash","texify_usage":{"total_tokens":10044,"prompt_tokens":962,"completion_tokens":9082,"prompt_tokens_details":{"cached_tokens":0},"prompt_cache_hit_tokens":0,"prompt_cache_miss_tokens":962,"completion_tokens_details":{"reasoning_tokens":8181}},"feed_headline":"Superflavor partners of the Tcc tetraquark: many new bound states","feed_subtitle":"The same interaction that binds Tcc predicts charmed-baryon molecules testable by experiments and lattice QCD.","key_machinery":"The central machinery is superflavor symmetry, which maps a heavy antiquark $\\bar{Q}$ (color $\\bar{3}_c$) to a heavy diquark $QQ$ (also $\\bar{3}_c$), allowing the anti-heavy meson superfield $H_a$ and the doubly heavy baryon superfield $\\psi_\\mu$ to share the same coupling constants and cutoff. From these Lagrangians the paper derives one-boson-exchange potentials for $\\pi$, $\\rho$, $\\omega$ and $\\sigma$ exchange, regularized by a dipole form factor. The single free parameter $\\Lambda$ is fixed for each sigma coupling choice by reproducing the Tcc binding energy of 340 keV in a coupled-channel Schrödinger equation. Bound and resonant states are then extracted with the Gaussian expansion method and complex scaling","core_discovery":"On its own terms, the paper establishes that the superflavor partner systems of Tcc contain multiple bound and resonant states when described by the same one-boson-exchange potential and the same cutoff that reproduces the 340 keV binding of Tcc. The meson–baryon system $\\bar{D}^{(*)}\\Xi_{cc}^{(*)}$ has a single S-wave bound state, $I(J^P)=0(1/2^-)$, dominated by $\\bar{D}\\Xi_{cc}(^2S)$, with binding energy 7.76 MeV for the large sigma coupling and 20.4 MeV for the small one. The baryon–baryon system $\\Xi_{cc}^{(*)}\\Xi_{cc}^{(*)}$ has a $0(1^+)$ bound state, dominated by $\\Xi_{cc}\\Xi_{cc}(^3S)$, with binding energy 24.7 MeV or 67.4 MeV, plus $I=1$ bound states for the large sigma coupling. All the higher-s","pith_inferences":["Because the parameter transfer assumes identical short-distance dynamics for anti-charmed mesons and doubly charmed baryons, extending the calculation to the bottom sector (e.g., \\bar{B}^{(*)}\\Xi_{bb}^{(*)}) would reveal whether the bound-state pattern survives where heavy-quark symmetry is more accurate.","The predicted \\Xi_{cc}\\Xi_{cc} state, with binding energy up to 67 MeV, would be a compact doubly charmed dibaryon; if observed, it would indicate strong diquark–diquark attraction and open a new window on charm-bearing dense matter.","The need for a large cutoff (~1680 MeV) in the small-sigma scenario suggests that the discarded short-range contact term may matter; checking sensitivity to that term would assess how reliable the g_\\sigma^S predictions are."],"forward_implications":["If Tcc is indeed a D D* molecule, these superflavor partners should exist; experiments can search for a \\bar{D}\\Xi_{cc} state just below threshold and a \\Xi_{cc}\\Xi_{cc} dibaryon several tens of MeV below threshold.","Lattice QCD calculations of the \\bar{D}\\Xi_{cc} and \\Xi_{cc}\\Xi_{cc} interactions in the predicted channels would test the parameter-transfer assumption directly.","The strong dependence of the spectra on the sigma coupling means that observing or excluding any of these states would constrain g_\\sigma, which is currently uncertain.","The predicted higher-spin resonances (J^P=3/2^-, 5/2^- for the meson–baryon system; J=0,1,2 for the baryon–baryon system) give specific line-shape targets for future amplitude analyses.","The \\Xi_{cc}^* mass enters through a superflavor relation; future observation of \\Xi_{cc}^* would tighten the predictions."],"fun_headline_variants":["Tcc superflavor partners: many bound states predicted","Superflavor symmetry yields new charmed-baryon molecules","Dbar-Xicc and Xicc-Xicc: bound states from Tcc","Tcc cousin molecules: many bound and resonant states"],"cache_read_input_tokens":2304,"weakest_assumption_plain":"The load-bearing premise is that every parameter—the cutoff $\\Lambda$ and all couplings—fixed by fitting the Tcc binding energy transfers unchanged to $\\Xi_{cc}$-containing systems, and that the unobserved $\\Xi_{cc}^*$ mass is correctly set by the superflavor mass relation; if diquark short-range dynamics differ from antiquark dynamics, the bound-state pattern shifts or disappears.","fun_headline_variants_meta":{"raw":{"variants":["Tcc superflavor partners: many bound states predicted","Superflavor symmetry yields new charmed-baryon molecules","Dbar-Xicc and Xicc-Xicc: bound states from Tcc","Tcc cousin molecules: many bound and resonant states"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000231,"raw_usage":{"total_tokens":1422,"prompt_tokens":944,"completion_tokens":478,"prompt_tokens_details":{"cached_tokens":256},"prompt_cache_hit_tokens":256,"prompt_cache_miss_tokens":688,"completion_tokens_details":{"reasoning_tokens":416}},"tokens_in":688,"tokens_out":478,"duration_ms":5045,"temperature":1.0,"reasoning_tokens":416,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-02T18:16:07.446161+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"A lattice QCD calculation of $\\bar{D}\\Xi_{cc}$ scattering in the $0(1/2^-)$ channel, or of $\\Xi_{cc}\\Xi_{cc}$ in $0(1^+)$, would settle the central claim: the paper predicts bound-state poles at approximately 7.8/20.4 MeV and 24.7/67.4 MeV below the respective thresholds, so the absence of a pole in either channel would rule out the parameter-transfer assumption. On the experimental side, a search for a narrow structure in the $\\bar{D}\\Xi_{cc}$ invariant mass spectrum near threshold, or in the $\\Xi_{cc}\\Xi_{cc}$ spectrum, would provide a direct test.","supporting_citations":[],"review_version":1}