A systematic study on the binding energy of $\Lambda$ hypernuclei

TL;DR

This study systematically calculates the binding energy of $\\Lambda$ hypernuclei using relativistic mean field theory, revealing stability patterns and predicting new hypernuclei based on experimental data and theoretical modeling.

Contribution

It provides a systematic RMF-based analysis of $\\Lambda$ hypernuclei binding energies, identifying stability trends and predicting the existence of new hypernuclei.

Findings

Hypernuclei are more stable with a $\\Lambda$ hyperon added or replacing a neutron.

Most hypernuclei exhibit similar properties to experimental data.

Predicted existence of new $\\Lambda$ hypernuclei.

Abstract

In this paper, we calculated the binding energy per baryon of the $\Lambda$ hypernuclei systemically, using the relativistic mean field theory (RMF) in a statistic frame. Some resemble properties are found among most of the hypernuclei found in experiments. The data show that a $\Lambda$ hypernucleus will be more stable, if it is composed of a $\Lambda$ hyperon adding to a stable normal nuclear core, or a $\Lambda$ hyperon replacing a neutron in a stable normal nuclear core. According to our calculations, existences of some new $\Lambda$ hypernuclei are predicted under the frame of RMF.