论文标题
较重的介子手性扰动理论中光伪库中的相位偏移和重膜散射
Phase shifts of the light pseudoscalar meson and heavy meson scattering in heavy meson chiral perturbation theory
论文作者
论文摘要
我们将弹性光伪粘液中的完整$ T $矩阵计算为重膜性手性扰动理论中的第三阶。我们通过拟合晶格QCD模拟的相位移位和散射长度来确定低能常数，并预测物理介子质量的相移。 $dπ（i = 1/2）$，$ dk（i = 0）$，$ d \ bar {k}（i = 0）$，$ d_s \ bar {k} $，$dη$和$d_Sη$ $ $ s $ waves的相位移动是如此之强，以至于在所有这些频道中都可以动态生成，以至于在所有这些频道中都可以动态产生限制性。 $ dk（i = 0）$ channel对应于众所周知的exotic状态$ d_ {s0}^{*}（2317）$。 $ dk（i = 0）$ channel对应于众所周知的exotic状态$ d_ {s0}^{*}（2317）$。耦合通道$dπ$，$dη$和$ d_s \ bar {k} $散射对应于$ d_ {0}^{*}（2400）$。耦合通道$dπ$，$dη$和$ d_s \ bar {k} $散射对应于$ d_ {0}^{*}（2400）$。我们还预测了散射长度和散射量，并观察到散射体积的良好收敛性。我们的计算提供了可能在光伪层中准确研究外来状态的可能性。
We calculate the complete $T$ matrices of the elastic light pseudoscalar meson and heavy meson scattering to the third order in heavy meson chiral perturbation theory. We determine the low-energy constants by fitting the phase shifts and scattering lengths from lattice QCD simulations simultaneously and predict the phase shifts at the physical meson masses. The phase shifts in the $Dπ(I=1/2)$, $DK(I=0)$, $D\bar{K}(I=0)$, $D_s\bar{K}$, $Dη$ and $D_sη$ $S$ waves are so strong that bound states or resonances may be generated dynamically in all these channels. The $DK(I=0)$ channel corresponds to the well-known exotic state $D_{s0}^{*}(2317)$. The $DK(I=0)$ channel corresponds to the well-known exotic state $D_{s0}^{*}(2317)$. The coupled-channel $Dπ$, $Dη$ and $D_s\bar{K}$ scattering corresponds to $D_{0}^{*}(2400)$. The coupled-channel $Dπ$, $Dη$ and $D_s\bar{K}$ scattering corresponds to $D_{0}^{*}(2400)$. We also predict the scattering lengths and scattering volumes and observe good convergence in the scattering volumes. Our calculations provide a possibility to accurately investigate the exotic state in the light pseudoscalar meson and heavy meson interactions.
