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REVIEW 2 major objections 1 minor 37 references

Mixing between D_s1*(2700) and D_s1*(2860) with effective spin-symmetry-breaking corrections increases the predicted width of D_s0(2590) while matching vector decay ratios.

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2026-06-28 05:32 UTC pith:C2YQCLW7

load-bearing objection Fits two effective parameters to D_s2*(2573) data then transfers them to radial excitations, yielding testable mixing angles and R ratios but without justification for state-independent 1/m_c shifts. the 2 major comments →

arxiv 2606.04962 v1 pith:C2YQCLW7 submitted 2026-06-03 hep-ph

Strong decays and effective spin-symmetry-breaking corrections in excited charm-strange mesons

Xiao Yu , Chao-Qiang Geng This is my paper
classification hep-ph
keywords charm strange mesonsheavy quark effective theoryspin symmetrystrong decaysmeson mixingradial excitationsdecay widths
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.

The authors use heavy meson effective field theory to study strong decays of excited charm-strange mesons, encoding 1/m_c corrections as effective shifts between DP and D*P amplitudes. They calibrate the parameters h' and ε_T from the D_s2*(2573) data to about 0.41 and -0.21, showing order 20% corrections. For lower states this constrains the mixing to small angles, confirming D_s1(2536) as mostly T doublet. For the radial sector the pure 2S state underpredicts the D_s0(2590) width at 20 MeV, but introducing mixing between the two 1+ states around 2.7 and 2.86 GeV plus a phase boosts that width while keeping the D*K/DK ratio near 0.92 for the lower state and giving a distinct ratio for the higher one.

Core claim

In the radial sector, the pure-2S assignment gives R_2700^LO=0.919 consistent with the observed ratio but predicts only Γ_ps[D_s0(2590)]≃20 MeV. Allowing mixing between D_s1*(2700) and D_s1*(2860), together with a relative strong phase and effective spin-symmetry-breaking corrections, substantially increases this width while preserving agreement with the vector-state widths and R_2700. This scenario further gives R_1,2860=0.911, far from the pure-X leading-order value 0.242.

What carries the argument

Effective spin-symmetry-breaking corrections as relative shifts between DP and D*P amplitudes, calibrated from T(3/2+) doublet data.

Load-bearing premise

The spin-symmetry-breaking corrections derived from the D_s2*(2573) state apply unchanged to the higher radial excitations.

What would settle it

Observation of a D^*K to DK ratio near 0.91 for the state around 2.86 GeV would confirm the mixed assignment over the pure state prediction of 0.24.

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

If this is right

  • Mixing angle for D_s1(2536) is constrained to small values, making it dominantly T(3/2+).
  • The D*K/DK ratio near 2.86 GeV becomes a discriminator between mixed and unmixed assignments.
  • Reference decay patterns are provided for D_s3*(2860), D_s1(2933), and D_sJ(3040).
  • The scenario reduces but does not eliminate the width tension for D_s0(2590).

Where Pith is reading between the lines

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

  • Similar mixing patterns may resolve width puzzles in non-strange D meson radial excitations.
  • Coupled-channel effects could account for any remaining discrepancy in the scalar width.
  • Future measurements of partial widths at facilities like LHCb could test the predicted ratios directly.

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

2 major / 1 minor

Summary. The paper analyzes two-body pseudoscalar-emission decays of excited charm-strange mesons in heavy meson effective theory, encoding phenomenological 1/m_c corrections as effective relative shifts (h' and ε_T) between DP and D*P amplitudes. It calibrates these from D_s2*(2573) data to obtain h'=0.407±0.034 and ε_T=-0.207±0.109, uses them to constrain mixing angles θ_P in the D_s1(2460)/D_s1(2536) system from Belle and LHCb data, and explores mixing plus relative phase in the radial sector to increase the predicted Γ_ps[D_s0(2590)] while preserving vector widths and the D*K/DK ratio near 2.7 GeV; it also reports reference decay patterns for higher states and notes that the D_s0(2590) width tension is reduced but not eliminated.

Significance. If the state-independence of the calibrated corrections holds, the work supplies a consistent phenomenological framework that partially alleviates the D_s0(2590) width discrepancy via mixing and phase effects, yields falsifiable predictions such as R_{1,2860}≈0.911 versus the pure-X value 0.242, and demonstrates how data-driven 1/m_c shifts can be propagated across multiplets while matching observed ratios.

major comments (2)
  1. [radial sector analysis] In the radial-sector discussion (application to D_s1*(2700), D_s1*(2860), and D_s0(2590)): the values h'=0.407±0.034 and ε_T=-0.207±0.109 extracted exclusively from the 1P T(3/2+) doublet are inserted into the 2S amplitudes without any argument, overlap-integral estimate, or additional constraint demonstrating that the underlying 1/m_c matrix elements remain independent of radial quantum number; this assumption is load-bearing for the claim that mixing plus corrections substantially raises Γ_ps[D_s0(2590)] while preserving R_2700.
  2. [abstract and radial results] Abstract and radial-sector results: the statement that the mixed scenario 'substantially increases this width while preserving agreement' is presented without reported propagation of the ±0.034 and ±0.109 uncertainties on h' and ε_T into the final width and ratio predictions, leaving the quantitative robustness of the enhancement unquantified.
minor comments (1)
  1. [abstract] The abstract refers to 'reference decay patterns' for D_s3*(2860), D_s1(2933), and D_sJ(3040) but does not indicate whether these are tabulated or merely described in the text.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments. We address the major comments point by point below.

read point-by-point responses

  1. Referee: In the radial-sector discussion (application to D_s1*(2700), D_s1*(2860), and D_s0(2590)): the values h'=0.407±0.034 and ε_T=-0.207±0.109 extracted exclusively from the 1P T(3/2+) doublet are inserted into the 2S amplitudes without any argument, overlap-integral estimate, or additional constraint demonstrating that the underlying 1/m_c matrix elements remain independent of radial quantum number; this assumption is load-bearing for the claim that mixing plus corrections substantially raises Γ_ps[D_s0(2590)] while preserving R_2700.

    Authors: We acknowledge that the original manuscript applies the calibrated h' and ε_T to the radial (2S) sector without an explicit argument or overlap-integral estimate for radial independence of the 1/m_c matrix elements. These parameters are introduced as phenomenological, state-independent corrections within the effective theory; their use across radial excitations follows the standard practice of assuming leading corrections are universal absent data to the contrary. To address the concern, the revised manuscript will add a dedicated paragraph in the radial-sector section discussing this assumption, its motivation from the effective-theory framework, and its testability with future measurements or lattice input. revision: partial

  2. Referee: Abstract and radial-sector results: the statement that the mixed scenario 'substantially increases this width while preserving agreement' is presented without reported propagation of the ±0.034 and ±0.109 uncertainties on h' and ε_T into the final width and ratio predictions, leaving the quantitative robustness of the enhancement unquantified.

    Authors: We agree that propagating the quoted uncertainties on h' and ε_T would strengthen the quantitative claims. In the revised manuscript we will recompute the mixed-scenario predictions for Γ_ps[D_s0(2590)], the vector widths, and R_2700 with error propagation from the calibration uncertainties, report the resulting ranges, and revise the abstract to reflect the updated robustness assessment. revision: yes

Circularity Check

0 steps flagged

No circularity: calibration from one doublet applied to radial excitations is standard phenomenology with independent content

full rationale

The paper extracts h' and ε_T from D_s2*(2573) partial widths (a 1P T(3/2+) state) and inserts the same numerical values into amplitude expressions for 2S states, mixing angles, and D_s0(2590) widths. This is not a reduction by construction: the radial-sector calculation introduces new free parameters (mixing angle θ, relative phase) and produces distinct observables (R_2700, R_1,2860, Γ_ps) that are not algebraically identical to the input fit. No self-citation chain, ansatz smuggling, or renaming of known results is present in the provided text. The central claim therefore retains independent, falsifiable content against external data.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 0 invented entities

The central claims rest on two fitted parameters extracted from one resonance and the assumption that the same effective corrections apply across radial excitations; no new particles or forces are postulated.

free parameters (2)
  • h' = 0.407
    Coupling strength calibrated from D_s2*(2573) partial widths
  • ε_T = -0.207
    Effective spin-symmetry-breaking shift calibrated from same data
axioms (1)
  • domain assumption Heavy meson effective field theory with 1/m_c corrections encoded as relative amplitude shifts applies to charm-strange mesons
    Standard framework invoked throughout the abstract for all decay calculations

pith-pipeline@v0.9.1-grok · 6031 in / 1504 out tokens · 27749 ms · 2026-06-28T05:32:28.382120+00:00 · methodology

0 comments
read the original abstract

We study two-body pseudoscalar-emission decays of excited charm-strange mesons in heavy meson effective field theory, where phenomenological \(1/m_c\) corrections are encoded as effective relative shifts between \(DP\) and \(D^*P\) amplitudes, referred to here as effective spin-symmetry-breaking corrections. Using \(D_{s2}^*(2573)\) data to calibrate the \(T(3/2^+)\) doublet, we obtain \(h'=0.407\pm0.034\) and \(\epsilon_T=-0.207\pm0.109\), indicating a natural effective correction of order \(20\%\). Applying this input to the \(D_{s1}(2460)\) and \(D_{s1}(2536)\) system, the Belle and LHCb partial-wave data constrain the mixing angle to \(0^\circ<\theta_P\lesssim22.0^\circ\) and \(0^\circ<\theta_P\lesssim14.6^\circ\), respectively, confirming that \(D_{s1}(2536)\) is dominantly a \(T(3/2^+)\) state with only a small \(S(1/2^+)\) admixture. In the radial sector, the pure-\(2S\) assignment gives \(R_{2700}^{\rm LO}=0.919\), consistent with the observed \(D^{*0}K^+/D^0K^+\) ratio of \(D_{s1}^*(2700)\), but predicts only \(\Gamma_{\rm ps}[D_{s0}(2590)]\simeq20\) MeV. Allowing mixing between \(D_{s1}^*(2700)\) and \(D_{s1}^*(2860)\), together with a relative strong phase and effective spin-symmetry-breaking corrections, substantially increases this width while preserving agreement with the vector-state widths and \(R_{2700}\). This scenario further gives \(R_{1,2860}=0.911\), far from the pure-\(X\) leading-order value \(R_{1,2860}^{\rm pure\,X}=0.242\), so the spin-one \(D^*K/DK\) ratio near \(2.86\) GeV offers a clear discriminator between the mixed and unmixed assignments. Overall, this scenario reduces but does not remove the \(D_{s0}(2590)\) width tension, leaving room for non-pseudoscalar channels, threshold effects, or coupled-channel dynamics. Reference decay patterns for \(D_{s3}^*(2860)\), \(D_{s1}(2933)\), and \(D_{sJ}(3040)\) are also given.

Figures

Figures reproduced from arXiv: 2606.04962 by Chao-Qiang Geng, Xiao Yu.

Figure 1
Figure 1. Figure 1: Projection of the accepted scan points onto the [PITH_FULL_IMAGE:figures/full_fig_p010_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: One-dimensional profile scans for the six parameters in the 2 [PITH_FULL_IMAGE:figures/full_fig_p012_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Comparison between the fitted observables and the experimental inputs from Refs. [ [PITH_FULL_IMAGE:figures/full_fig_p013_3.png] view at source ↗

discussion (0)

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Reference graph

Works this paper leans on

37 extracted references · 2 canonical work pages · 1 internal anchor

  1. [1]

    Navas et al

    S. Navas et al. (Particle Data Group), Review of Particle Physics, Phys. Rev. D110, 030001 (2024)

    2024

  2. [2]

    Aubert et al

    B. Aubert et al. (BaBar Collaboration), Observation of a newD s meson decaying toDKat a mass of 2.86 GeV/c 2, Phys. Rev. Lett.97, 222001 (2006)

    2006

  3. [3]

    Aubert et al

    B. Aubert et al. (BaBar Collaboration), Study ofD sJ decays toD ∗Kin inclusivee +e− interac- tions, Phys. Rev. D80, 092003 (2009)

    2009

  4. [4]

    Aaij et al

    R. Aaij et al. (LHCb Collaboration), Observation of overlapping spin-1 and spin-3 ¯D0K− reso- nances at mass 2.86 GeV/c 2, Phys. Rev. Lett.113, 162001 (2014)

    2014

  5. [5]

    Aaij et al

    R. Aaij et al. (LHCb Collaboration), Observation of a new excitedD + s meson inB 0 → D−D+K+π− decays, Phys. Rev. Lett.126, 122002 (2021)

    2021

  6. [6]

    Observation of a new excited charm-strange meson $D_{s1}(2933)^+$ in $B^0\to D^+ D^- K^+ \pi^-$ decays

    R. Aaij et al. (LHCb Collaboration), Observation of a new excited charm-strange meson Ds1(2933)+ inB 0 →D +D−K+π− decays, arXiv:2604.21257 [hep-ex]

    work page internal anchor Pith review Pith/arXiv arXiv

  7. [7]

    Godfrey and N

    S. Godfrey and N. Isgur, Mesons in a relativized quark model with chromodynamics, Phys. Rev. D32, 189 (1985)

    1985

  8. [8]

    Di Pierro and E

    M. Di Pierro and E. Eichten, Excited heavy-light systems and hadronic transitions, Phys. Rev. D64, 114004 (2001)

    2001

  9. [9]

    W. A. Bardeen, E. J. Eichten, and C. T. Hill, Chiral multiplets of heavy-light mesons, Phys. Rev. D68, 054024 (2003)

    2003

  10. [10]

    Q. F. Lu, T. T. Pan, Y. Y. Wang, E. Wang, and D. M. Li, Excited charmed and charm-strange mesons in the quark model, Phys. Rev. D90, 054024 (2014)

    2014

  11. [11]

    Godfrey and K

    S. Godfrey and K. Moats, Properties of excited charm and charm-strange mesons, Phys. Rev. D 93, 034035 (2016)

    2016

  12. [12]

    R. H. Ni, Q. Li, and X. H. Zhong, Mass spectra and strong decays of charmed and charm-strange mesons, Phys. Rev. D105, 056006 (2022)

    2022

  13. [13]

    Song, D.-Y

    Q.-T. Song, D.-Y. Chen, X. Liu, and T. Matsuki,D ∗ s1(2860) andD ∗ s3(2860): candidates for 1D charmed-strange mesons, Eur. Phys. J. C75, 30 (2015)

    2015

  14. [14]

    P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernandez, TheDs0(2590)+ as the dressedc¯s(21S0) meson in a coupled-channel calculation, Phys. Lett. B827, 136998 (2022)

    2022

  15. [15]

    M. B. Wise, Chiral perturbation theory for hadrons containing a heavy quark, Phys. Rev. D45, R2188 (1992)

    1992

  16. [16]

    Burdman and J

    G. Burdman and J. F. Donoghue, Union of chiral and heavy quark symmetries, Phys. Lett. B 280, 287 (1992)

    1992

  17. [17]

    T. M. Yan et al., Heavy quark symmetry and chiral dynamics, Phys. Rev. D46, 1148 (1992); Erratum: Phys. Rev. D55, 5851 (1997)

    1992

  18. [18]

    Cho, Chiral perturbation theory for hadrons containing a heavy quark: The sequel, Phys

    P. Cho, Chiral perturbation theory for hadrons containing a heavy quark: The sequel, Phys. Lett. B285, 145 (1992)

    1992

  19. [19]

    Casalbuoni et al., Phenomenology of heavy meson chiral Lagrangians, Phys

    R. Casalbuoni et al., Phenomenology of heavy meson chiral Lagrangians, Phys. Rept.281, 145 (1997)

    1997

  20. [20]

    A. F. Falk, Hadrons of arbitrary spin in the heavy quark effective theory, Nucl. Phys. B378, 79 (1992). 18

    1992

  21. [21]

    Colangelo, F

    P. Colangelo, F. De Fazio, and S. Nicotri,D s meson spectroscopy and strong decays, Phys. Lett. B642, 48 (2006)

    2006

  22. [22]

    Colangelo, F

    P. Colangelo, F. De Fazio, S. Nicotri, and M. Rizzi, IdentifyingD ∗ sJ(2700) through its decay modes, Phys. Rev. D77, 014012 (2008)

    2008

  23. [23]

    Colangelo, F

    P. Colangelo, F. De Fazio, S. Nicotri, and M. Rizzi, New meson spectroscopy with open charm and beauty, Phys. Rev. D81, 094001 (2010)

    2010

  24. [24]

    Pandya, M

    B. Pandya, M. N. Shah, and P. C. Vinodkumar, Strong decays of newly observed charm-strange meson states based on a relativistic model, arXiv:2507.11022 [hep-ph]

    work page arXiv

  25. [25]

    Aaij et al

    R. Aaij et al. (LHCb Collaboration), Study ofD (∗)+ sJ mesons decaying toD ∗+K0 S andD ∗0K+ final states, JHEP02, 133 (2016)

    2016

  26. [26]

    Ablikim et al

    M. Ablikim et al. (BESIII Collaboration), Study of the decay and production properties of Ds1(2536) andD ∗ s2(2573), Phys. Rev. Lett.133, 171903 (2024)

    2024

  27. [27]

    Balagura et al

    V. Balagura et al. (Belle Collaboration), Observation ofD s1(2536)+ →D +π−K+ and angular decomposition ofD s1(2536)+ →D ∗+K0 S, Phys. Rev. D77, 032001 (2008)

    2008

  28. [28]

    Aaij et al

    R. Aaij et al. (LHCb Collaboration), Observation of the decaysB 0 (s) →D s1(2536)∓K±, JHEP 10, 106 (2023)

    2023

  29. [29]

    X. G. Wu and Q. Zhao, The mixing ofD s1(2460) andD s1(2536), Phys. Rev. D85, 034040 (2012)

    2012

  30. [30]

    Zhong and Q

    X.-H. Zhong and Q. Zhao, Strong decays of heavy-light mesons in a chiral quark model, Phys. Rev. D78, 014029 (2008)

    2008

  31. [31]

    Yamada, A

    Y. Yamada, A. Suzuki, M. Kazuyama, and M. Kimura,P-wave charmed-strange mesons, Phys. Rev. C72, 065202 (2005)

    2005

  32. [32]

    Segovia, A

    J. Segovia, A. M. Yasser, D. R. Entem, and F. Fernandez,D s1(2536)+ decays and the properties ofP-wave charmed strange mesons, Phys. Rev. D80, 054017 (2009)

    2009

  33. [33]

    Xie, M.-Z

    J.-M. Xie, M.-Z. Liu, and L.-S. Geng,D s0(2590) as a dominantc¯sstate with a smallD ∗K component, Phys. Rev. D104, 094051 (2021)

    2021

  34. [34]

    Jiang and A

    Z.-H. Jiang and A. Zhang, Assignment of charmed-strangeD s0(2590)+ andD sJ(3040)+, Nucl. Phys. A1048, 122939 (2024)

    2024

  35. [35]

    Bando, T

    M. Bando, T. Kugo, S. Uehara, K. Yamawaki, and T. Yanagida, Is rho meson a dynamical gauge boson of hidden local symmetry?, Phys. Rev. Lett.54, 1215 (1985)

    1985

  36. [36]

    Bando, T

    M. Bando, T. Kugo, and K. Yamawaki, Nonlinear realization and hidden local symmetries, Phys. Rept.164, 217 (1988)

    1988

  37. [37]

    Campanella, P

    S. Campanella, P. Colangelo, and F. De Fazio, Excited heavy meson decays to light vector mesons: implications for spectroscopy, Phys. Rev. D98, 114028 (2018). 19

    2018