Nuclear structure of even-Achromium isotopes in the band-mixed projected Hartree-Fock model

Abstract

Nuclear structure calculations for the states in even-$A$ isotopes $^{48\ensuremath{-}54}\mathrm{Cr}$ are performed in the framework of the projected Hartree-Fock model by employing a realistic nucleon-nucleon interaction. An inert $^{40}\mathrm{Ca}$ core is assumed and all the valence nucleons are treated explicitly in the configuration space of the full $\mathrm{fp}$ shell. The energy levels, static electromagnetic moments, and transition probabilities are evaluated from the band mixing calculations wherein a large number of energetically close intrinsic states of the nuclei are taken into account. These calculations yield a ${K}^{\ensuremath{\pi}}={2}^{+}$ and ${K}^{\ensuremath{\pi}}={4}^{+}$ highly deformed band for $^{50}\mathrm{Cr}$ and $^{52}\mathrm{Cr}$, respectively, when a neutron from the predominantly ${({f}_{\frac{7}{2}})}^{n}$ lowest prolate intrinsic configuration is promoted to the higher unoccupied ($\mathrm{fp}$) orbits. The results of the present calculations are in fairly good agreement with the available experimental data.NUCLEAR STRUCTURE Even-$A$ chromium isotopes. Calculated spectra, static moments, transition strengths $B(E2)$ and $B(M1)$. Projected Hartree-Fock model with band mixing, ${(\mathrm{fp})}^{n}$ model space, modified Kuo-Brown interaction.