The Calculation of Gamma-Ray Transition Probabilities in Odd-A Nuclei

Gamma-ray transition probabilities intended for use in the preparation of gamma-ray production cross sections have been calculated for four odd-A nuclei and compared with experiment. Wave functions used in the calculation of M1 and E 2 transition matrix elements were generated with a deformed shell (Nilsson) model code which allows for asymmetric quadrupole deformations. Inverse moments of inertia and deformations were treated as adjustable parameters. The collective gyromagnetic ratio was assumed to be a constant for all levels. The results suggest in the context of the simplified model an angular momentum dependence of the nuclear deformation.