Systematic study of near yrast band structures in odd-mass ${}^{125-137}$Pr and ${}^{127-139}$Pm isotopes

Abstract

In the present work, the basis space in the triaxial projected shell model approach is expanded to include three and five quasiparticle configurations for odd-proton systems. This extension allows to investigate the high-spin band structures observed in odd-proton systems up to and including the second band crossing region, and as a first major application of this development, the high-spin properties are investigated for odd-mass ${}^{125-137}$Pr and ${}^{127-139}$Pm isotopes. It is shown that band crossings in the studied isotopes have mixed structures with first crossing dominated by one-proton coupled to two-neutron configuration for the lighter isotopes which then changes to three-proton configuration with increasing neutron number. Further, $\gamma$-bands based on quasiparticle states are also delineated in the present work, and it is predicted that these band structures built on three-quasiparticle configurations become favoured in energy for heavier systems in the high-spin region.

18 pages, 18 figures

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Cited by in corpus (4)

• Microscopic aspects of $\gamma$-softness in atomic nuclei
• Extended triaxial projected shell model approach for odd-neutron nuclei
• An effective and efficient algorithm for the Wigner rotation matrix at high angular momenta
• A Pfaffian formulation for matrix elements of three-body operators in multiple quasi-particle configurations