Combining the quark model, the quark-pair-creation mechanism and B(β)K
interaction, we have investigated the near-threshold P-wave Bsβ states in
the framework of the Hamiltonian effective field theory. With the heavy quark
flavor symmetry, all the parameters are determined in the Dsβ sector by
fitting the lattice data. The masses of the bottom-strange partners of the
Ds0ββ(2317) and Ds1ββ(2460) are predicted to be
MBs0βββ=5730.2β1.5+2.4β MeV and MBs1βββ=5769.6β1.6+2.4β MeV, respectively, which are well consistent with the
lattice QCD simulation. The two P-wave Bsβ states are the mixtures of the
bare bsΛ core and B(β)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 BK scattering. This
CDD zero will help deepen the insights of the near-threshold states and can be
examined by the future lattice calculation.Comment: 20 pages, 4 figure