Deformed $K^-$ nuclei in the Skyrme-Hartree-Fock approach

TL;DR

This paper investigates the properties of kaonic nuclei using a 2D Skyrme-Hartree-Fock model, highlighting the maximum kaon binding and deformation changes caused by the kaon.

Contribution

It introduces a detailed analysis of kaonic nuclei with a focus on deformation effects and the instability limits of the Skyrme-Hartree-Fock approach for strong $KN$ interactions.

Findings

Maximum kaon binding is limited by solution instability.

Kaon addition causes core shrinking in nuclei.

Deformation can be completely lost due to the kaon.

Abstract

The properties of kaonic nuclei are studied using a two-dimensional Skyrme-Hartree-Fock model with a $KN$ Skyrme force. We focus in particular on the instability of the solutions for a too strong $KN$ interaction, which determines a maximum value of the kaon binding in this approach. We then analyze the change of the deformation properties of several core-deformed nuclei caused by the added kaon, and find a shrinking of the core and in some cases a complete loss of deformation.