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Systematic shell-model calculations are presented for odd-mass Cd isotopeswith $N=51-81$ utilizing a combination of a $G$-matrix interaction and asemiempirical one. The excited energy spectra and electromagnetic transitionprobabilities are compared with the recently available experimental data. Wehave found that the observed quadrupole moments in the $11/2^-_1$ states thatlinearly change with the neutron number are well accounted for by the dominanceof prolate shapes throughout the Cd isotope chain. We have also described theproperties of several isomeric states in neutron-rich $^{127-131}$In isotopesthat were recently observed in Jyv\"askyl\"a.

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