New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core

Abstract

The effective interaction GXPF1 for shell-model calculations in the full $pf$ shell is tested in detail from various viewpoints such as binding energies, electro-magnetic moments and transitions, and excitation spectra. The semi-magic structure is successfully described for $N$ or Z=28 nuclei, ${}^{53}$Mn, ${}^{54}$Fe, ${}^{55}$Co and ${}^{56,57,58,59}$Ni, suggesting the existence of significant core-excitations in low-lying non-yrast states as well as in high-spin yrast states. The results of $N=Z$ odd-odd nuclei, ${}^{54}$Co and ${}^{58}$Cu, also confirm the reliability of GXPF1 interaction in the isospin dependent properties. Studies of shape coexistence suggest an advantage of Monte Carlo Shell Model over conventional calculations in cases where full-space calculations still remain too large to be practical.

29pages, 26figures, to be published in Physical Review C

References in corpus (14)

• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Shell model study of the isobaric chains A=50, A=51 and A=52
• Effective interaction for pf-shell nuclei
• The realistic collective nuclear Hamiltonian
• The effective g_A in the pf-shell
• Decay of neutron-rich Mn nuclides and deformation of heavy Fe isotopes
• Competition Between T=0 and T=1 Pairing in Proton-Rich Nuclei
• Full $0\hslash \omega$ shell model calculation of the binding energies of the $1f_{7/2}$ nuclei
• Shell-model Monte Carlo studies of fp-shell nuclei
• Nuclear Shell Model by the Quantum Monte Carlo Diagonalization Method
• Quasi-Deuteron Configurations in odd-odd N=Z nuclei
• Experimental evidence for 56Ni-core breaking from the low-spin structure of the N=Z nucleus 58Cu
• Microscopic description of nuclei in the middle of the pf-shell by a shell model calculation with G-matrix interaction
• Quasideuteron configurations in 46V and 58Cu

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