Semi-relativistic RGM calculations of pion-pion scattering
Pion-pion scattering is investigated in the framework of the Resonating Group Method. The wave function of an isolated pion, described as a quark-antiquark system interacting through a potential composed of a central and a spin-spin part, is determined using the spinless Salpeter equation. Given these ingredients the kernel of the integro-differential equation governing the relative motion of the colliding pions is calculated using relativistic kinemayics. The corresponding S- and D-wave pion-pion phase shifts and their Galilean counterparts are compared with experiment.
KeywordsExchange Kernel Harmonic Oscillator Base Pion Wave Function Spatial Wave Function Large Relativistic Effect
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