Effective charges andE2transitions in1f−2pshell nuclei

The proton and neutron effective charges needed to reproduce the observed $E2\mathrm{}$ data on the transitions between the ground state bands of the isotopes of $\mathrm{Ti}(A=44\mathrm{}-50)$, $\mathrm{V}(A=47\mathrm{}-51)$, $\mathrm{Cr}(A=48\mathrm{}-52)$, and $\mathrm{Fe}\mathrm{}(A=52,54\mathrm{})\mathrm{}$ are found to be $e_p=(1.33\mathrm{}\pm 0.09)$ e, $e_n=(0.64\mathrm{}\pm 0.10)$ e. These charges were obtained by a least-squares fit between the deformed configuration mixing shell model calculated and the observed $B\left(E2\mathrm{}\right)\mathrm{}$ values for the transitions in these nuclei. These values support the charges $e_p=1.25\mathrm{}$ e, $e_n=0.47\mathrm{}$ e obtained recently by Kuo and Osnes in a microscopic calculation and the charges $e_p=1.21\mathrm{}$ e, $e_n=0.79\mathrm{}$ e obtained on the basis of macroscopic estimates of Bohr and Mottelson.