S(Baldin ISHEPP XXII)129

Background: The extension of the shell model for hypernuclei suggested by Gal and Millener is very successfully used in the interpretation of the discrete part of the spectra of p-shell hypernuclei. Recently, the identification of 4ΛH hyperfragments from a 9Be target was confirmed in the fragmentation experiment at MAMI. Purpose: The advanced study of the strong decay of primary p-shell hypernuclei produced in the reaction AZ(e,e′K+)AΛ(Z−1) provides options in determining and interpreting a still unexplored region of these spectra. Method: We extend the Translation Invariant Shell Model by including the next excitation (Nmin+2) and calculate 3-particle coefficients of parentage. Result: We suggest suitable targets and possible hyperfragments to be registered in fragmentation experiments