New insights into the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>D</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:mrow><mml:mo>*</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>2317</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>and other charm scalar mesons

Guo, Zhi-Hui; Yao, De-Liang; Meißner, Ulf‐G.

doi:10.1103/physrevd.92.094008

Cited by 74 publications

(94 citation statements)

References 51 publications

(162 reference statements)

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“…Noting that the light quark mass in this calculation lies between the physical light and strange quark masses, and ignoring the differences due to flavour, the relative position of the pole to the threshold lies between what is observed experimentally for the resonant D 0 (2400) and the bound D s0 (2317). Qualitatively, such behaviour is anticipated from unitarised chiral perturbation theory amplitudes [39,56,57].…”

Section: Discussionmentioning

confidence: 99%

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Moir

Peardon

Ryan

et al. 2016

J. High Energ. Phys.

171

266

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We present the first lattice QCD study of coupled-channel Dπ, Dη and D sK scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable of resolving both meson and mesonmeson contributions to the spectrum. These correlation matrices are analysed using a variational approach to extract the finite-volume energy eigenstates. Utilising Lüscher's method and its extensions, we constrain scattering amplitudes in S, P and D-wave as a function of energy. By analytically continuing the scattering amplitudes to complex energies, we investigate the S-matrix singularities. Working at m π ≈ 391 MeV, we find a pole corresponding to a J P = 0 + near-threshold bound state with a large coupling to Dπ. We also find a deeply bound J P = 1 − state, and evidence for a J P = 2 + narrow resonance coupled predominantly to Dπ. Elastic Dπ scattering in the isospin-3/2 channel is studied and we find a weakly repulsive interaction in S-wave.

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Section: Discussionmentioning

confidence: 99%

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Moir

Peardon

Ryan

et al. 2016

J. High Energ. Phys.

171

266

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“…Near the D s π threshold, the uand t-channel loops dominate in the SU (2) chiral limit, which indicates that the left-hand cuts are non-negligible. In the NLO case, the scattering length a (1,1) Ds π →Ds π is negligible in the SU (2) chiral limit [25,33].…”

Section: Fit To Lattice Data Of the Scattering Lengthsmentioning

confidence: 99%

“…Compared to the NLO fits [13,33], the NNLO fits have larger χ 2 values, even though three more LECs g i (i = 1, 2, 3) are included in the fits. Furthermore, the values of some LECs are too large to be natural.…”

Section: Fit To Lattice Data Of the Scattering Lengthsmentioning

confidence: 99%

“…They are fixed by fitting to the lattice scattering lengths at varying pion masses. It is well known that the state D * s0 (2317) in the (S, I ) = (1, 0) channel is produced as a bound state pole below the DK threshold [13,25,33]. Due to the large number of parameters and the small number of data, we constrain further the subtraction constant a(μ) by requiring the existence of a bound state pole at 2.317 GeV in the (S, I ) = (1, 0) amplitude when all the parameters take their physical values [25].…”

Section: Fit To Lattice Data Of the Scattering Lengthsmentioning

confidence: 99%

“…[26][27][28]. On the one hand, the lattice results can be used to determine the low-energy constants (LECs) in the chiral Lagrangian [25,[30][31][32][33]. On the other hand, with these lattice calculations more insights into the nature of the D * s0 (2317) and other positive-parity charmed mesons are obtained.…”

Section: Introductionmentioning

confidence: 99%

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Study of open-charm $$0^+$$ 0 + states in unitarized chiral effective theory with one-loop potentials

Guo

Meißner

et al. 2017

Eur. Phys. J. C

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Chiral potentials are derived for the interactions between Goldstone bosons and pseudo-scalar charmed mesons up to next-to-next-to-leading order in a covariant chiral effective field theory with explicit vector charmedmeson degrees of freedom. Using the extended-on-massshell scheme, we demonstrate that the ultraviolet divergences and the so-called power counting breaking terms can be properly absorbed by the low-energy constants of the chiral Lagrangians. We calculate the scattering lengths by unitarizing the one-loop potentials and fit them to the data extracted from lattice QCD. The obtained results are compared to the ones without an explicit contribution of vector charmed mesons given previously. It is found that the difference is negligible for S-wave scattering in the threshold region. This validates the use of D * -less one-loop potentials in the study of the pertinent scattering lengths. We search for dynamically generated open-charm states with J P = 0 + as poles of the S-matrix on various Riemann sheets. The trajectories of those poles for varying pion masses are presented as well.

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The investigations of the P-wave Bs states combining quark model and lattice QCD in the coupled channel framework

Yang

Wang

et al. 2023

J. High Energ. Phys.

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Combining the quark model, the quark-pair-creation mechanism and B(*)$$ \overline{K} $$ K ¯ interaction, we have investigated the near-threshold P-wave Bs states in the framework of the Hamiltonian effective field theory. With the heavy quark flavor symmetry, all the parameters are determined in the Ds sector by fitting the lattice data. The masses of the bottom-strange partners of the $$ {D}_{s0}^{\ast }(2317) $$ D s 0 ∗ 2317 and $$ {D}_{s1}^{\ast }(2460) $$ D s 1 ∗ 2460 are predicted to be $$ {M}_{B_{s0}^{\ast }}={5730.2}_{-1.5}^{+2.4} $$ M B s 0 ∗ = 5730.2 − 1.5 + 2.4 MeV and $$ {M}_{B_{s1}^{\ast }}={5769.6}_{-1.6}^{+2.4} $$ M B s 1 ∗ = 5769.6 − 1.6 + 2.4 MeV, respectively, which are well consistent with the lattice QCD component. The two P-wave Bs states are the mixtures of the bare $$ \overline{b}s $$ b ¯ s core and B(*)$$ \overline{K} $$ K ¯ component. Moreover, we find a crossing point between the energy levels with and without the interaction Hamiltonian in the finite volume spectrum in the 0+ case, which corresponds to a CDD (Castillejo-Dalitz-Dyson) zero in the T-matrix of the $$ B\overline{K} $$ B K ¯ scattering. This CDD zero will help deepen the insights of the near-threshold states and can be examined by future lattice calculation.

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New insights into theDs0*(2317)and other charm scalar mesons

Cited by 74 publications

References 51 publications

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Study of open-charm $$0^+$$ 0 + states in unitarized chiral effective theory with one-loop potentials

The investigations of the P-wave Bs states combining quark model and lattice QCD in the coupled channel framework

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