Hyperfragments from the lightest p-shell hypernuclei. 2. Recent progress and the next steps

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 4 L H hyperfragments from a 9 Be 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 A Z ( e ; e 0 K + ) A L ( 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 (N min +2) and calculate 3-particle coefficients of parentage. Result: We suggest suitable targets and possible hyperfragments to be registered in fragmentation experiment