Effects of the $\Lambda$(1405) on the Structure of Multi-Antikaonic Nuclei

TL;DR

This paper investigates how the $ ext{Lambda}(1405)$ resonance influences the structure and binding energies of multi-antikaonic nuclei, revealing significant effects on density profiles and stability as more $K^-$ mesons are embedded.

Contribution

It introduces a combined chiral symmetry and relativistic mean-field approach to analyze the impact of $ ext{Lambda}(1405)$ on multi-antikaonic nuclei, highlighting its sizable attraction effects.

Findings

Additional attraction from $ ext{Lambda}(1405)$ affects density profiles.

Ground state energy of $K^-$ mesons is significantly influenced.

Binding energy of the multi-antikaonic nucleus increases with more $K^-$ mesons.

Abstract

The effects of the $\Lambda$(1405) ($\Lambda^\ast$) on the structure of the multi-antikaonic nucleus (MKN), in which several $K^-$ mesons are embedded to form deeply bound states, are considered based on chiral symmetry combined with a relativistic mean-field theory. It is shown that additional attraction resulting from the $\Lambda^\ast$ pole has a sizable contribution to not only the density profiles for the nucleons and $K^-$ mesons but also the ground state energy of the $K^-$ mesons and binding energy of the MKN as the number of the embedded $K^-$ mesons increases.