• DOI:10.1103/PhysRevD.96.014036
• Corpus ID: 119475084

Six-quark structure of d * ( 2380 ) in a chiral constituent quark model

@article{Lu2017SixquarkSO,
  title={Six-quark structure of d * ( 2380 ) in a chiral constituent quark model},
  author={Qi-Fang Lu and Fei Huang and Yubing Dong and Peng-nian Shen and Zong Ye Zhang},
  journal={Physical Review D},
  year={2017},
  volume={96},
  pages={014036}
}

• Qi-Fang Lu, F. Huang, +2 authors Z. Zhang
• Published 27 April 2017
• Materials Science
• Physical Review D

The structure of ${d}^{*}(2380)$ is restudied with the single cluster structure in the chiral SU(3) quark model which has successfully been employed to explain the $N\ensuremath{-}N$ scattering data and the binding energy of deuteron. The binding behavior of such a six quark system is solved by using a variational method. The trial wave function is chosen to be a combination of a basic spherical symmetric component of $[(0s{)}^{6}{]}_{\mathrm{orb}}$ in the orbital space with $0\ensuremath{\hbar}\ensuremath{\omega}$ excitation and an inner structural deformation component of $[(0s{)}^{5}(1s){]}_{\mathrm{orb}}$ and $[(0s{)}^{4}(0p{)}^{2}{]}_{\mathrm{orb}}$ in the orbital space with $2\ensuremath{\hbar}\ensuremath{\omega}$ excitation, both of which are in the spatial $[6{]}_{\mathrm{orb}}$ symmetry. It is shown that the mass of the system is about 2356 MeV, which is qualitatively consistent with the result both from the two-cluster configuration calculation and from the data measured by the WASA Collaborations. When the meson exchange interactions are absent, the attraction is insufficient to form a stable state below the $\mathrm{\ensuremath{\Delta}}\mathrm{\ensuremath{\Delta}}$ threshold. This result tells us that as long as the medium-range interaction due to the chiral symmetry consideration is properly introduced, the mass of the system will be reduced in a rather large extent. It also implies that the observed ${d}^{*}$ is a six-quark bound state with respect to the $\mathrm{\ensuremath{\Delta}}\mathrm{\ensuremath{\Delta}}$ threshold, which again supports the conclusion that ${d}^{*}$ is a hexaquark dominant state.