论文标题

类似charmonium的状态,$ j^{p} = 1^{+} $和isospin 1

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

论文作者

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

论文摘要

许多具有与$ \ bar cc $结构不相容的媒介已经发现了,例如带有Isospin 1的$ z_c $介子。我们使用晶状体QCD研究了异国情调的类似charmonium的介体的频谱。重点放在$ \ bar cc \ bar qq $状态上,$ j^{pc} = 1^{+\ pm} $和isospin 1。这是对具有这些量子数,非零总动量和两个不同晶格的四个夸克状态的首次研究。我们提取能量水平,并确定使用吕舍尔的形式主义靠近阈值的$ d \ bar d^*$的散射长度。我们的初步结果表明,在$ 1^{++} $ Channel中以$ d \ bar {d}^*$主导的特征状态的能量变化非常小,并且与$ 1^{+ - } $ Channel中的零一致。

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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