论文标题

完全重量的Tetraquarks的潜在模型预测$ qq \ bar {q} \ bar {q} $($ q = c,b $)

Potential model prediction of fully-heavy tetraquarks $QQ\bar{Q}\bar{Q}$ ($Q=c, b$)

论文作者

Yang, Gang, Ping, Jialun, He, Lianyi, Wang, Qing

论文摘要

完全重量的四夸克状态$ qq \ bar {q} \ bar {q} $($ q = c,b $)是通过非依赖性潜在模型系统地研究的。该模型基于两体$ q \ bar {q} $相互作用的晶格QCD研究,该研究表现出与自旋无关的康奈尔电位以及自旋旋转相互作用。四体问题以高度准确的计算方法(高斯扩展方法)实现。还采用了复杂的缩放方法,以便可以在同一基础上处理界,共振和散射状态。四体配置的完整集,包括梅森 - 梅森,diquark-antidiquark和k-type配置以及它们的耦合,用于旋转量子量子数字$ j^{pc} = 0^{++} = 0^{++} $,$ 1^{+ - } $ 2 {+ - } $,以及$ 2^^{+sands $ s $ s $在完全稳定的Tetraquark系统中或完全底部的一个中都可以找到$ s $ - 波界的状态。但是,在这两个系统中都发现了几种狭窄的共振,宽度小于10 MeV。对于完全融合的情况,最近报道的LHCB协作中Di-$ j/ψ$不变频谱中6.2至7.2 GEV之间的共振结构可以在我们的计算中得到很好的识别。对于完全底部的情况,发现质量在18.9至19.6 GEV之间的共鸣。可以在将来的实验中进一步检查预测的共振。

The fully-heavy tetraquark states $QQ\bar{Q}\bar{Q}$ ($Q=c, b$) are systematically investigated by means of a nonrelativistic potential model. The model is based on the lattice QCD study of the two-body $Q\bar{Q}$ interaction, which exhibits a spin-independent Cornell potential along with a spin-spin interaction. The four-body problem is implemented with a highly accurate computational approach, the Gaussian expansion method. The complex scaling method is also employed so that the bound, resonance, and scattering states can be treated on the same footing. Complete set of the four-body configurations, including meson-meson, diquark-antidiquark, and K-type configurations, as well as their couplings, are considered for spin-parity quantum numbers $J^{PC}=0^{++}$, $1^{+-}$, and $2^{++}$ in the $S$-wave channel. No $S$-wave bound state is found either in the fully-charm tetraquark system or in the fully-bottom one. However, several narrow resonances, with widths less than 10 MeV in two-meson strong decay, are found in both of these two systems. For the fully-charm case, the recently reported resonance structures between 6.2 and 7.2 GeV in the di-$J/ψ$ invariant spectrum by the LHCb collaboration, can be well identified in our calculation. For the fully-bottom case, resonances with masses between 18.9 and 19.6 GeV are found. The predicted resonances can be further examined in future experiments.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源