Regge trajectories and mass spectrum of heavy tetraquarks

Abstract

In this work, we calculated the masses of the ground and radial excited states of heavy tetraquarks in the framework of the nonrelativistic quark model for two wave states nS and nP. The potential used is the parabolic poten- tial plus the spin term, and the method we used to solve the Schrödinger equation is the NU method. The Regge tra- jectories in the ( nr , M 2 ) plane are linear and we obtained the parameters β and β 0 for each state. The results are in good agreement with the available experimental data and we predicted the structures of tetraquarks X ( 4 . 500 ) , X ( 4 . 700 ) , X ( 4 . 740 ) , X ( 6 . 900 ) , X ( 7 . 200 ) , Y ( 4 . 230 ) , Y ( 4 . 660 ) , and Zb ( 10 . 650 )