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Journal Articles

The Investigations of the $$P$$-wave $$B_s$$ states combining quark model and lattice QCD in the coupled channel framework

Yang, Z.*; Wang, G.-J.*; Wu, J.-J.*; Oka, Makoto; Zhu, S.-L.*

Journal of High Energy Physics (Internet), 2023(1), p.058_1 - 058_19, 2023/01

https://doi.org/10.1007/JHEP01(2023)058
 Times Cited Count：6 Percentile：70.34(Physics, Particles & Fields)

Combining the quark model, the quark-pair-creation mechanism and $$B^{(*)}bar K$$ interaction, we have investigated the near-threshold $$P$$-wave $$B_s$$ states in the framework of the Hamiltonian effective field theory. With the heavy quark flavor symmetry, all the parameters are determined in the $$D_s$$ sector by fitting the lattice data. The masses of the bottom-strange partners of the $$D^{*}_{s0}(2317)$$ and $$D^{*}_{s1}(2460)$$ are predicted, which are well consistent with the lattice QCD simulation. The two $$P$$-wave $$B_s$$ states are the mixtures of the bare $$bar b s$$ core and $$B^{(*)}bar K$$ 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 $$Bbar K$$ scattering. This CDD zero will help deepen the insights of the near-threshold states and can be examined by future lattice calculation.

Journal Articles

Novel coupled channel framework connecting the quark model and lattice QCD for the near-threshold $$D_s$$ states

Yang, Z.*; Wang, G.-J.*; Wu, J.-J.*; Oka, Makoto; Zhu, S.-L.*

Physical Review Letters, 128(11), p.112001_1 - 112001_6, 2022/03

https://doi.org/10.1103/PhysRevLett.128.112001
 Times Cited Count：28 Percentile：94.82(Physics, Multidisciplinary)

A novel framework is proposed to extract near-threshold resonant states from finite-volume energy levels of lattice QCD and is applied to elucidate structures of the positive parity $$D_s$$. The quark model, the quark-pair-creation mechanism and $$D^{(*)}K$$ interaction are incorporated into the Hamiltonian effective field theory. The bare $$1^+$$ $$cbar s$$ states are almost purely given by the states with heavy-quark spin bases. The physical $$D^*_{s0}(2317)$$ and $$D^*_{s1}(2460)$$ are the mixtures of bare $$cbar s$$ core and $$D^{(*)}K$$ component, while the $$D^*_{s1}(2536)$$ and $$D^*_{s2}(2573)$$ are almost dominated by bare $$cbar{s}$$. Furthermore, our model well reproduce the clear level crossing of the $$D^*_{s1}(2536)$$ with the scattering state at a finite volume.

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