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arXiv 1607.07093hep-lathep-ph
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格点量子色动力学的耦合道$Dπ$、$Dη$和$D_{s}\bar{K}$散射

Coupled-Channel $Dπ$, $Dη$ and $D_{s}\bar{K}$ Scattering from Lattice QCD

Graham Moir, Michael Peardon, Sinéad M. Ryan, Christopher E. Thomas, David J. Wilson

摘要:

本文首次用格点量子色动力学方法研究了三个分波中的耦合道$Dπ$、$Dη$和$D_{s}\bar{K}$散射。使用蒸馏,我们计算矩阵的相关函数与基地的运营商能够解决介子和介子-介子的贡献的频谱。这些相关矩阵进行分析,使用变分法提取的有限体积能量本征态。利用Lüscher方法及其扩展,我们将$S$,$P$和$D$ -波的散射振幅约束为能量的函数。通过将散射振幅解析地延拓到复能量,我们研究了$S$矩阵的奇异性。工作在$m_π\approx 391$ MeV,我们发现一个极点对应于一个$J^{P} = 0^{+}$近阈值束缚态与一个大的耦合$Dπ$。我们还发现了一个深束缚的$J^{P} = 1^{-}$状态,和一个$J^{P} = 2^{+}$窄共振主要耦合到$Dπ$的证据。研究了$Dπ$在同位旋- $3/2$通道中的弹性散射,发现在$S$ -波中存在弱排斥作用.

英文摘要:

We present the first lattice QCD study of coupled-channel $Dπ$, $Dη$ and $D_{s}\bar{K}$ scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable of resolving both meson and meson-meson contributions to the spectrum. These correlation matrices are analysed using a variational approach to extract the finite-volume energy eigenstates. Utilising Lüscher's method and its extensions, we constrain scattering amplitudes in $S$, $P$ and $D$-wave as a function of energy. By analytically continuing the scattering amplitudes to complex energies, we investigate the $S$-matrix singularities. Working at $m_π\approx 391$ MeV, we find a pole corresponding to a $J^{P} = 0^{+}$ near-threshold bound state with a large coupling to $Dπ$. We also find a deeply bound $J^{P} = 1^{-}$ state, and evidence for a $J^{P} = 2^{+}$ narrow resonance coupled predominantly to $Dπ$. Elastic $Dπ$ scattering in the isospin-$3/2$ channel is studied and we find a weakly repulsive interaction in $S$-wave.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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