$d^*(2380)$的六夸克图象
Hexaquark picture for $d^*(2380)$
摘要：
量子数为$I(J^P)=0(3^+)$的六夸克波函数可能与$d^*(2380)$有关，它是在假设它只由$S$波中的$u,d$夸克组成的情况下构造的。通过组合三种双夸克态（$\bm{\bar{3}}_c, I=1$）或（$\bm{6}_c, I=0$），我们证明了六夸克态有五种可能的构型.完全反对称的波函数是通过线性组合的五个配置在平等的基础上。然后，我们采用这个波函数以及五种组态，利用由色旋、色电和常数位移组成的接触型有效势计算六夸克质量。质量被发现是相同的，无论使用的配置，包括完全反对称的。这一结果可以追溯到六夸克系统在构造其波函数时具有选择三个双夸克的自由。用独立于重子谱的经验参数计算的六夸克质量约为$2342$ MeV，与$d^*(2380)$的实验质量非常接近.因此，就质量而言，六夸克图像是有希望的$d^*(2380)$。
英文摘要：
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.
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