Application of the extended P+QQ force model to $N\approx Z$ fp 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 reproduces unexpectedly well 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.

34 pages including 14 figures

References in corpus (7)

• Pairing and the structure of the pf-shell N ~ Z nuclei
• Onset of T=0 Pairing and Deformations in High Spin States of the N=Z Nucleus 48Cr
• On the Backbending Mechanism of ${}^{48}$Cr
• Band termination in the N=Z Odd-Odd Nucleus 46V
• Proton-neutron interactions in N \approx Z nuclei
• SMMC studies of N=Z pf-shell nuclei with pairing-plus-quadrupole Hamiltonian
• Roles of proton-neutron interactions in alpha-like four-nucleon correlations

Cited by in corpus (12)

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• Quadrupole and octupole softness in the N=Z nucleus 64Ge
• Improvement of the extended P+QQ interaction by modifying the monopole field
• Shell-model description of N ~ Z 1f7/2 nuclei
• Characteristics of the 21/2^+ isomer in 93Mo: toward the possibility of enhanced nuclear isomer decay
• Different particle alignments in N \approx Z Ru isotopes studied by the shell model
• Shell-model study of spectroscopies and isospin structures in odd-odd $N=Z$ nuclei employing realistic \emph{NN} potentials
• Particle alignments and shape change in ${}^{66}$Ge and ${}^{68}$Ge
• Shell Model and Mean-Field Description of Band Termination
• Nuclear spectra from low-energy interactions
• Microscopic analysis of T=1 and T=0 proton-neutron correlations in $N=Z$ nuclei
• Exploring effective interactions through transition charge density study of ${}^{70,72,74,76}\mathrm{Ge}$ nuclei