Speaker
Description
In the past several years, a charged charmoniumlike $Z_c^+$ family, $Z^+_c(4430)$, $Z^+(4051)$, $Z^+(4248)$, $Z^+_c(4200)$, $Z^+_c(4240)$, $Z^+_c(3900)$, $Z^+_c(3885)$, $Z^+_c(3930)$, $Z^+_c(4025)$ and $Z^+_c(4020)$, has been successively observed by experimental collaborations. Obviously, those charged charmoniumlike states go beyond conventional $c\bar c$-meson picture and prefer to tetraquark systems $c\bar cu\bar d$ due to carrying one charge, which provides a good place for testing various phenomenological research methods of hadron physics.
Permutation groups are applied to analyze the symmetries of multi-quark systems and, as examples, wave functions of meson and tetraquark states are constructed systematically in the language of Yamanouchi basis. Spatial wave function of tetraquark are evaluated in the Cornell potential. The explicit form of the spatial wave functions are derived from non-relativistic Schrodinger equation.
