Kaon-Nucleon scattering states and potentials in the Skyrme model

Abstract

We study the (anti)kaon nucleon interaction in the Skyrme model. The kaon field is introduced as a fluctuation around the rotating Skyrmion for the nucleon. As an extension of our previous work, we study scattering states and examine phase shifts in various kaon-nucleon channels. Then we study the interaction, where we find that it consists of central and spin-orbit components for isospin channels, $I=0,1$, with energy dependence and nonlocality. The interaction is then fitted to a Shrödinger equivalent local potential for s- and p-waves.

Comments: 25 pages, 33 figures, and 10 tables