Translational invariant shell model for Λ hypernuclei

Abstract

We extend shell model for Λ hypernuclei suggested by Gal and Millener by including 2ћω excitations in the translation invariant version to estimate yields of different hyperfragments from primary p-shell hypernuclei. We are inspired by the first successful experiment done at MAMI which opens way to study baryon decay of hypernuclei. We use quantum numbers of group SU(4), [f], and SU(3), (λμ), to classify basis wave functions and calculate coefficients of fractional parentage.