论文标题
$ p $ -wave $ b_s $状态的调查结合了Quark模型和晶格QCD在耦合的频道框架中
The investigations of the $P$-wave $B_s$ states combining quark model and lattice QCD in the coupled channel framework
论文作者
论文摘要
结合了夸克模型，夸克 - 生的创造机制和$ b^{（*）} \ bar k $相互作用，我们研究了在汉密尔顿有效现场理论框架内的接近阈值$ p $ -p $ - 波$ b_s $州。使用重夸克风味对称性，所有参数都通过拟合晶格数据在$ d_s $扇区中确定。 $ d^{*} _ {s0}（2317）$和$ d^{*} _ {s1}（2460）$的底部爆炸伙伴的质量被预测为$ m_ {b^{*} _ {*} _ {s0}} _ {s0}}}} = 5730.2 = 5730.2 _} $ m_ {b^{*} _ {s1}} = 5769.6 _ { - 1.6}^{+2.4} $ MEV，与lattice QCD模拟非常一致。两个$ p $ -wave $ b_s $状态是Bare $ \ bar b s $ core的混合物和$ b^{（*）} \ bar k $ component。此外，我们在$ 0^+$ case中的有限体积频谱中有和没有相互作用的哈密顿量之间的能量水平之间的交叉点，这对应于$ b \ bar b \ bar k k $散射的$ t $ -matrix中的CDD（Castillejo-Dalitz-Dyson）零。该CDD零将有助于加深近阈值状态的见解，并可以通过未来的晶格计算来检查。
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 to be $M_{B^{*}_{s0}}=5730.2_{-1.5}^{+2.4}$ MeV and $M_{B^{*}_{s1}}= 5769.6_{-1.6}^{+2.4}$ MeV, respectively, 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 $B\bar K$ scattering. This CDD zero will help deepen the insights of the near-threshold states and can be examined by future lattice calculation.
