Is $d^{\ast }(2380)$ a compact hexaquark state?

Abstract

The most fascinating dibaryon in the non-strange quark sector is $d^{\ast }(2380)$, which was reported by WASA-at-COSY Collaboration and confirmed by A2@MAMI Collaboration. The reported mass and width are $M\approx 2.37$ GeV, $\Gamma \approx 70$ MeV and the quantum numbers $I{J}^P=03^{+}$. The structure of $d^{\ast }(2380)$ is still in controversy. In the present calculation, the powerful method in few-body system, Gaussian expansion method is employed to explore the structure of $d^{\ast }(2380)$ in the framework of constituent quark models without assuming the presupposed structure. The results show that the radius of $d^{\ast }(2380)$ is around 0.7 fm, a very compact object. Because of the compact structure, the color singlet-singlet component has a large overlap with the color octet-octet one, two colorless, large overlapped $\Delta$s dominate the state is possible.

7 pages, 8 tables

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