Single-{\Lambda} Hypernuclei in the Relativistic Mean-Field Theory with parameter set FSU

TL;DR

This study uses the relativistic mean-field theory with the FSU parameter set to analyze single-{\Lambda} hypernuclei, successfully reproducing experimental data and comparing favorably with other models.

Contribution

It introduces the use of the FSU parameter set with tensor coupling in relativistic mean-field theory for hypernuclei, highlighting its effectiveness.

Findings

FSU parameter set accurately reproduces {\Lambda} single-particle energies.

Tensor coupling is essential for small spin-orbit interaction.

FSU performs comparably to NL3 and NL3* in hypernuclei properties.

Abstract

In this work, we conduct a study on the properties of single-{\Lambda} hypernuclei in the relativistic mean-field theory with the parameter set FSU, where the isoscalar-isovector coupling has been included to soften the symmetry energy. In our model, a tensor coupling between {\omega} and {\Lambda} is employed, which is found to be essential in obtaining the small spin-orbit interaction in single-{\Lambda} hypernuclei. Our calculated values of {\Lambda} single-particle energies are in good agreement with the known experimental data. As a comparison to other existing parameter sets, calculations are also carried out by using parameterizaions such as NL3 and NL3*. The results show that the parameter set FSU is as successful as those of NL3 and NL3* in terms of reproducing the properties of single-{\Lambda} hypernuclei.