| We have studied the possible ΩΩ system both in the chiral SU(3) quark model and in the extended chiral SU(3) quark model. In these previous work, the mixing of pseudoscalar mesons has been considered, but the mixing of scalar mesons hasn’t been considered. However, many recent research papers showed that the mixing of scalar mesons is important to describe the meson-baryon scattering data. Thus, it is very meaningful to further introduce the mixing of scalar mesons into the baryon-baryon system. Our results show that the baryon-baryon experi-mental results can also be reasonably described after considering the mixing of scalar mesons. Based on above idea, we further introduce the mixing of scalar mesons to QQ dibaryon system with strangeness-6, to see if this state could be formed.Firstly, we discuss how to construct the Ω baryon wave function. Using the isoscalar factor and the Gelfand basis, we use the Yang diagram outer product rule to constructs the wave function of Ω baryon in spin space, flavor space and color space.Secondly, we discuss the possible dibaryon ΩΩ state. In the chiral SU(3) quark model and in the extended chiral SU(3) quark model, we study the structure of ΩΩ dibaryon by solving a Resonating Group Method equation. The effects from the width of wave function, quark exchange effect, and the mixing of scalar mesons are analyzed, respectively. The results show:1)quark exchange effect is beneficial to form the bound state;2)the smaller the width of wave function, the binding energy of the system increases;3)for different the mixing of scalar mesons, the binding energies are different.(a) using the parameters by fitting the KN scattering data, the binding energy of θs=-18°is larger than those of the ideal mixing;(b) using the parameters by fitting the NN and YN scattering, the binding energy of θs=19°is larger than those of the ideal mixing;(c) Further analysis show that the contribution from σ meson exchange is important to form deeply bound state. For ideal mixing, there is no contribution from a meson exchange to ΩΩ system. But for θs=-18°or θs=19°cases, the σ field contribute large attractive interaction. Therefore, the results for different mixing cases are quite different.The present work offer some helpful information to the question of mixing of scalar mesons and the possible ΩΩ dibaryon state. |
