K−N exoticS channelI=1,0 phase shifts: a test of the non annihilating quark quark potential

Abstract

In this paper we present a method which avoids—in RGM calculations—ex0licit evaluations of overlap kernels in configuration space. Phase shifts are directly calculated by the use ofT-matrix formalism, without resorting to numerical evaluations of non-local Schrodinger equations. Different two body potentials can be directly compared within the very same RGM calculation. As an example, we evaluateS waveI=1,0K−N phase shifts for three different sorts of quark-quark potentials: The ones used by Bhaduri et al. [3], Bender et al. [4], and finally by Campbell and Robson [8]. These phase shifts are shown to depend sharply on the details of the adopted interquark force, therefore distinguishing among potentials which otherwise fare equally well for spectroscopic calculations. None of the above mentioned potentials suffice to explain the experimentally observedS waveK−N phase shifts.