Application of the extended [formula omitted] force model to [formula omitted][formula omitted] shell nuclei

Abstract

To study collective motion, the extended pairing plus QQ force model proposed recently is applied to A=46, 48 and 50 nuclei in the fp shell region. Exact shell model calculations in the truncated model space (f 7/2,p 3/2,p 1/2) prove the usefulness of the interaction. The simple model with the pairing plus quadrupole pairing plus QQ force and J-independent isoscalar proton–neutron force unexpectedly well reproduces observed binding energies, energy levels of collective (yrast) states and reduced E2 transition probabilities in 46 Ti, 46 V, 48 V, 48 Cr, 50 Cr and 50 Mn. The correspondence between theory and experiment is almost comparable to that attained by the full fp shell model calculations with realistic effective interactions. Some predictions are made for energy levels and variations of B(E2) in the yrast bands, in these nuclei. Characteristics of the interaction are investigated by comparing with the realistic effective interactions and by the backbending plot for the yrast band of 48 Cr.