A systematic study on the binding energy of $Λ$ hypernuclei

Abstract

In this paper, we calculated the binding energy per baryon of the $Λ$ 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 $Λ$ hypernucleus will be more stable, if it is composed of a $Λ$ hyperon adding to a stable normal nuclear core, or a $Λ$ hyperon replacing a neutron in a stable normal nuclear core. According to our calculations, existences of some new $Λ$ hypernuclei are predicted under the frame of RMF.

8 pages, 6 figures, 3 tables