论文标题
$ d^*（2380）$的Hexaquark图片
Hexaquark picture for $d^*(2380)$
论文作者
论文摘要
具有量子数$ i（j^p）= 0（3^+）$的六夸克波函数，这可能与$ d^*（2380）$相关，是在假设仅由$ u，d $ quarks组成的$ s $ -wave中的假设。通过组合两种类型的三个diquark（$ \ bm {\ bar {3}} _ c，i = 1 $）或（$ \ bm {6} _C，i = 0 $），我们证明了六夸克州有五个可能的配置。完全抗对称波函数是通过在相等基础上线性组合五个配置来构建的。然后，我们采用此波函数以及五个配置，以使用由颜色旋转，彩色电和恒定移位组成的接触类型有效势来计算六夸克质量。无论使用什么配置，包括完全抗对称的构型，都发现质量是相同的。这一结果可以追溯到以下事实：Hexaquark系统可以自由选择在其波浪函数的构建中选择三个diquark。发现使用从重骨光谱固定的经验参数计算出的Hexaquark质量，发现其$ 2342 $ MEV约为$ 2342 $，实际上非常接近$ d^*（2380）$的实验质量。因此，就群众而言，六夸克图片对$ d^*（2380）$有希望。
Hexaquark wave function with the quantum numbers $I(J^P)=0(3^+)$, which might be relevant for $d^*(2380)$, is constructed under an assumption that this is composed only of $u,d$ quarks in an $S$-wave. By combining three diquarks of either type, ($\bm{\bar{3}}_c, I=1$) or ($\bm{6}_c, I=0$), we demonstrate that there are five possible configurations for the six-quark state. The fully antisymmetric wave function is constructed by linearly combining the five configurations on an equal footing. We then take this wave function as well as the five configurations to calculate the hexaquark mass using the contact type effective potential consisting of the color-spin, color electric and constant shift. The mass is found to be the same regardless of the configurations being used including the fully antisymmetric one. This result can be traced to the fact that the hexaquark system has a freedom in choosing three diquarks in the construction of its wave function. The calculated hexaquark mass using the empirical parameters independently fixed from the baryon spectroscopy is found to be around $2342$ MeV, which is indeed very close to the experimental mass of $d^*(2380)$. Therefore, the hexaquark picture is promising for $d^*(2380)$ as far as the mass is concerned.
