Kaon-Nucleon systems and their interactions in the Skyrme model

Abstract

We study kaon-nucleon systems in the Skyrme model in a method based on the bound state approach of Callan-Klebanov but with the kaon around the physical nucleon of the rotating hedgehog. This corresponds to the variation after projection, reversing the order of semiclassical quantization of $1/N_c$ expansion. The method, however, is considered to be suited to the study of weakly interacting kaon-nucleon systems including loosely $\bar{K}N$ bound states such as $\Lambda (1405)$. We have found a bound state with binding energy of order ten MeV, consistent with the observed state. We also discuss the $\bar{K}N$ interaction and find that it consists of an attraction in the middle range and a repulsion in the short range.

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Cited by in corpus (5)

• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Searching for possible ${\Omega }_c-$like molecular states from ${\Xi }_c^{\ast }\bar{K}/{\Xi }_c{\bar{K}}^{\ast }/{\Xi }_c^{\prime }{\bar{K}}^{\ast }$ interaction
• Kaon-Nucleon scattering states and potentials in the Skyrme model
• Lambda(1405) as a K-bar N Feshbach resonance in the Skyrme model
• Heavy baryon production with an instanton interaction