Structure of the ground and excited states of odd-mass deformed nuclei in the region 153 ≦ A ≦ 187

Abstract

The interactions of quasi-particles with quadrupole and octupole phonons in deformed odd-mass nuclei are considered in the framework of the method of approximate second quantization. The properties of phonons are determined in investigating even-mass nuclei. In considering the interaction of quasi-particles with phonons in odd-mass nuclei, there is therefore not a single free parameter. The peculiarities of the secular equations are studied and it is shown that for many states, besides the interaction of quasi-particles with gamma-vibrational phonons, the interactions of quasi-particles with octupole and beta-vibrational phonons are very important. The energies and wave functions for the majority of odd-mass nuclei in the range 151 ≦ A ≦ 187 are found. It is shown that the interaction of quasi-particles with ohonons leads to the appearance of admixtures to the one-quasi-particle states and improves the description of these states as compared to the independent quasi-particle model. It is shown that this interaction leads to the formation of the collective non-rotational states and of the complex structure states in odd-mass nuclei. The calculated energies of the excited states, values of B(E2), the decoupling parameters a and the spectroscopic factors agree rather well with the corresponding experimental data. It is concluded that the interaction of quasi-particles with phonons gives a correct description of the structure of the ground and excited states of deformed odd-mass nuclei.