Semirelativistic resonating group method calculations of pion-pion scattering

Pion-pion scattering is investigated in the framework of the resonating gro up method. The wave function of an isolated pion, described as a quark-anti quark system interacting through a potential composed of a central and a sp in-spin part, is determined using the spinless Salpeter equation. Given the se ingredients the kernel of the integrodifferential equation governing the relative motion of the colliding pions is calculated using relativistic ki nematics. The corresponding S- and D-wave pion-pion phase shifts are compar ed with their Galilean counterparts. [S0556-2813(99)01302-3].