Semi-Empirical Formulae for Λ and Ξ Binding Energy in Hypernuclei

Abstract

On the basis of very general considerations, a semi-empirical formula for Λ binding energy in hypernuclei has been obtained. The parameters in the formula have been fixed from a χ² fit to the B_Λ of the heavier p-shell hypernuclei (A>8). The Λ binding in _Λ³²S and spallation hypernuclei (60<A<100) predicted by the formula are fairly close to their respective experimental values. The empirical value of D_Λ turns out to be 31.6 MeV. The analysis further shows that on account of the large uncertainties of the B_Ξ data, empirical value of D_Ξ can not be uniquely determined. However, the value of D_Ξ is definitely smaller than D_Λ.