Unified description of odd-mass indium nuclei I. General theory and comparison toIn113andIn115levels populated in the decay ofSn113andCdm,g115

Abstract

We describe the rich variety of nuclear phenomena in the odd-mass indium isotopes by taking into account the coupling of both single-hole and one-particle two-hole configurations (seniority $v=1\mathrm{}$ and $v=3\mathrm{}$) with the quadrupole and octupole vibrations of the underlying core (Sn) nucleus. To fully test the calculations, we have performed detailed spectroscopic studies of the ${}_{}{}^{113}{}_{}{}^{}\mathrm{Sn}$, ${}_{}{}^{115}{}_{}{}^{}\mathrm{Cd}_{}^m{}_{}{}^{}$, and ${}_{}{}^{115}{}_{}{}^{}\mathrm{Cd}_{}^g{}_{}{}^{}$ decays. Energy spectra, spectroscopic factors for stripping and pickup reactions, and electromagnetic properties are calculated and compared with the experimental results for ${}_{}{}^{115}{}_{}{}^{}\mathrm{In}$. We compare our model with earlier calculations for the odd-mass In isotopes and with band-mixing calculations using a deformed basis (Nilsson model) for all odd-mass In isotopes ($107\le A\le 119$). The equivalence of the unified-model description with a rotational interpretation is discussed in some detail.