KK¯ elastic scattering and bound states in the quark potential model

The KK¯ low-energy elastic scattering and bound states are studied on the basis of the quark potential model which is composed of the t-channel one-gluon exchange potential and the s-channel one-gluon exchange potential as well as the linear confining potential. In the study, an effective KK¯ interaction potential is derived by means of the resonating group method. Use of this potential to evaluate KK¯ elastic scattering phase shifts leads to a result which is in reasonable argreement with the experiment. The calculation of the bound states by employing the same potential gives support to the explanation that the exotic meson states f₀(980) and a₀(980) can possibly be viewed as the KK¯ molecules. Moreover, the exotic states f₁(1420), f_J(1710), and f_J(2220) may presumably be interpreted as the excited states of the KK¯ molecules when we take J=2 for f_J(1710) and J=4 for f_J(2220), respectively.