Fingerprint states in 115,117,119I in the framework of the particle-rotor model

Odd-mass iodine nuclei with Z = 53 have low-lying ΔJ = 1 and ΔJ = 2 bands based on πg9/2 and πh11/2 orbitals. Using the particle-rotor model we have investigated the band structure of these states. In this model, the experimental excitation energies of the A + 1 core were fed directly as the input parameter. A standard axially symmetric Nilsson potential has been used with prolate deformation. The parameters of the model were chosen from earlier theoretical work and experimental odd-even mass difference. Only the Coriolis attenuation factor has been treated as the adjustable parameter. We have also investigated the alignment plot to study the alignments of these bands up to fairly high spin. The extracted B(M1)/B(E2) ratios for the band based on πg9/2 orbital have been utilized to obtain information about the deformation parameter. With the same deformation parameter excellent agreement has been achieved in the relative bandhead separation of the πg9/2 and πh11/2 bands. The band structure of the πg9/2 as well as πh11/2 band has been calculated with that deformation. The experimental transition probability and branching ratio were also compared with the calculated data. (paper)