Effect of a realistic three-body force on the spectra of medium-mass hypernuclei

Abstract

We adopt the Hartree-Fock (HF) method in the proton-neutron-Λ (p-n-Λ) formalism and the nucleon-Λ Tamm-Dancoff Approximation (NΛ TDA) to study the energy spectra of medium-mass hypernuclei. The formalism is developed for a potential derived from effective field theories which includes explicitly the 3-body N N N forces plus the Y N LO potential. The energy spectra of selected medium-mass hypernuclei are presented and their properties discussed. The present calculation is the first step of a project devoted to ab initio studies of hypernuclei in medium and heavy mass regions. This may provide a guide for a better understanding of the Y N interactions at momentum scales not accessible in few-body hypernuclei.

Mean field and beyond mean field calculations of hypernuclei for study of electroproduction

“…It is of great interest to study the energy spectra of Λ hypernuclei and explore to what extent the coupling to the nucleonic excitations of the nuclear core affects the properties of these systems. This goal can be reached by applying many-body methods which go beyond the mean-field approach as NΛ TDA [1]. The EMPM extended for hypernuclei is suitable for this purpose.…”