论文标题
$ dd^*$散布在格子上
Signature of a doubly charm tetraquark pole in $DD^*$ scattering on the lattice
论文作者
论文摘要
通过计算使用lattice qcd的$ dd^*$散射幅度来调查双重魅力的tetraquark，带有风味$ cc \ bar u \ bar u \ bar u \ bar u \ bar u \ bar u \ bar u \ bar u \ bar u \！= \！0 $。该模拟是在具有动态$ u/d，s $ quarks和$m_π\ simeq 280〜 $ MEV的CLS合奏上进行的，用于两个符号夸克质量，一个稍大，比物理值略低。部分波的散射幅度$ l = 0,1 $通过Lüscher的方法在接近阈值的接近阈值中提取，通过考虑具有总动量$ pl/（2π）= 0,1，\ sqrt {2}的系统，在两个空间量上进行2 $。 $ dd^*$散射幅度在$ l = 0 $中的虚拟绑定状态极是$ 9.9 _ { - 7.1}^{+3.6}〜$ MEV以下$ dd^*$ dd^*$ threshold the Charm Quark质量质量更接近物理价值。该极点可能与LHCB发现的双重魅力四夸克有关，小于$ 1〜 $ MEV，低于$ d^0d^{*+} $ threshold。未来的晶格模拟更接近连续性限制，物理夸克质量对于系统地建立这种联系将是有价值的。
The doubly charm tetraquark with flavor $cc\bar u\bar d$ and isospin $I\!=\!0$ is investigated by calculating the $DD^*$ scattering amplitude with lattice QCD. The simulation is done on CLS ensembles with dynamical $u/d,s$ quarks and $m_π\simeq 280~$MeV for two charm quark masses, one slightly larger and one slightly lower than the physical value. The scattering amplitudes for partial waves $l=0,1$ are extracted near-threshold via the Lüscher's method by considering systems with total momenta $PL/(2π)=0,1,\sqrt{2},2$ on two spatial volumes. A virtual bound state pole in the $DD^*$ scattering amplitude with $l=0$ is found $9.9_{-7.1}^{+3.6}~$MeV below $DD^*$ threshold for the charm quark mass closer to the physical value. This pole is likely related to the doubly charm tetraquark discovered by LHCb less than $1~$MeV below $D^0D^{*+}$ threshold. Future lattice simulations closer to the continuum limit and physical quark masses would be valuable to establish this connection systematically.
