Systematic shell-model study of 99-129Cd isotopes and isomers in neutron-rich 127-131In isotopes

Systematic shell -model calculations are presented for odd -mass Cd isotopes with N = 51-81 utilizing a combination of a G -matrix interaction and a semiempirical one. The excited energy spectra and electromagnetic transition probabilities are compared with the recently available experimental data. We have found that the observed quadrupole moments in the 11/2-1 states that linearly change with the neutron number are well accounted for by the dominance of prolate shapes throughout the Cd isotope chain. We have also described the properties of several isomeric states in neutron -rich 127-131In isotopes that were recently observed in Jyvaskyla.