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

チャネル結合方式を用いたクォーク模型と格子QCDによる$$P$$波の$$B_s$$状態の研究

Yang, Z.*; Wang, G.-J.*; Wu, J.-J.*; 岡 眞   ; Zhu, S.-L.*

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

ハミルトニアン有効理論にクォーク模型、クォークペア生成、$$B^{(*)}bar K$$相互作用の情報を含むベアな状態と散乱状態の結合を取り入れた形式を用いて、しきい値近傍の$$P$$波の4個の$$B_s$$状態のスペクトルを研究した。

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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パーセンタイル:87.18

分野:Physics, Particles & Fields

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