Experimentally, the \ (1^+\) state \ (X (3872) \) was first discovered, and subsequently, its partner state \ (Y (4260) \), with the same quark content \ ( (cqqc) \) and quantum number \ (1^-\) was also observed. Inspired by this pattern, we systematically investigate the newly discovered \ (1^+\) state \ (T₂₂\) and its possible \ (1^-\) partner, the \ (T₃₃_₁\) system with the same quark content \ ( (cqcq) \). Within the framework of the chiral quark model, we perform a comprehensive study of the bound and resonance states of \ (T₃₃䃑\) using the Gaussian expansion method (GEM). Two quark configurations, the molecular structure and the diquark structure, are considered in our calculations. Our results indicate the existence of a shallow bound state dominated by the \ (DD₁^*\) channel, which is analogous to the experimentally observed \ (T₂₂\), as well as two compact resonant states with narrow widths around 4. 5 GeV. To avoid the influence of model parameters on the results, we additionally fitted a new set of parameters and obtained consistent conclusions. According to our calculation results, although the color-octet and diquark configurations have relatively high energies, the channel-coupling effects induced by them play a crucial role in the formation of these stable states. We strongly encourage experimental efforts to search for the stable states predicted in the \ (T₃₃䃑\) system.
Wu et al. (Thu,) studied this question.