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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.*

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.



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Category:Physics, Particles & Fields



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