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arXiv 2212.04835hep-lathep-ph
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具有$J^{P}=1^{+}$和同位旋1的类Charmonium态

Charmonium-like states with $J^{P}=1^{+}$ and isospin 1

Mitja Sadl, Sara Collins, M. Padmanath, Sasa Prelovsek

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9 pages, 2 figures, contribution to the 39th International Symposium on Lattice Field Theory (LATTICE2022)
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摘要：

已经发现了许多性质与$\bar cc$结构不相容的介子，例如具有同位旋1的$Z_c$介子。本文利用格点QCD研究奇异类粲介子的能谱。重点是$J^{PC}=1^{+\pm}$和同位旋1的$\bar cc \bar qq$态。这是第一次研究具有这些量子数、非零总动量和两种不同晶格体积的四夸克态。我们提取的能量水平和确定的散射长度$D\bar D^*$散射接近阈值使用Lüscher的形式主义。我们的初步结果表明，由$D\bar{D}^*$占主导地位的本征态的能量移动是非常小的$1^{++}$通道和一致的零在$1^{+-}$通道。

英文摘要：

Many mesons with properties incompatible with a $\bar cc$ structure have already been discovered, e.g. the $Z_c$ mesons with isospin 1. We investigate the spectrum of exotic charmonium-like mesons using lattice QCD. The focus is on $\bar cc \bar qq$ states with $J^{PC}=1^{+\pm}$ and isospin 1. This is the first study of four-quark states with these quantum numbers, a non-zero total momentum and two different lattice volumes. We extract the energy levels and determine the scattering length for $D\bar D^*$ scattering close to the threshold using Lüscher's formalism. Our preliminary results show that the energy shifts for eigenstates dominated by $D\bar{D}^*$ are very small in the $1^{++}$ channel and consistent with zero in the $1^{+-}$ channel.

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