Intermediate Coupling in theN=29andZ=29Nuclei

Abstract

Levels are calculated for the $N=29\mathrm{}$ and $Z=29\mathrm{}$ nuclei, ${\mathrm{Ti}}^{51}$, ${\mathrm{Cr}}^{53}$, ${\mathrm{Fe}}^{55}$, ${\mathrm{Cu}}^{61,63,65}$. The model used is the intermediate-coupling model with quasivibrational core, as developed by True and Thankappan. A pattern search routine is used to fit the five parameters to the levels and stripping strengths. Except for the case of ${\mathrm{Cr}}^{53}$, levels and strengths are fitted fairly well. In particular, in ${\mathrm{Fe}}^{55}$ we identify the states at 1.917 and 2.051 MeV as ${\frac{3}{2}}^{-}$ and ${\mathrm{½}}^{-}$ states, respectively. $B\left(E2\mathrm{}\right)\mathrm{}$ values for transitions to the ground state are calculated, and the comparison with data for ${\mathrm{Cu}}^{63}$ and ${\mathrm{Cu}}^{65}$ shows good agreement. However, there are no experimental $B\left(E2\mathrm{}\right)\mathrm{}$ data available for the other nuclei.