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

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.