Supersymmetric Algebraic Model for Descriptions of Transitional Even-Even and Odd-A Nuclei near the Critical Point of the Vibrational to γ-Unstable Shapes

• Published in: Physics of particles and nuclei letters 2021-09, Vol.18 (5), p.511-526
• Main Authors: Ghapanvari, M., Jafarizadeh, M. A., Amiri, N., Seidi, M.
• Format: Article
• Language: English
• Subjects: Algebra; Critical point; Energy spectra; Fermions; Lie groups; Nuclei; Particle and Nuclear Physics; Phase transitions; Physics; Physics and Astronomy; Physics of Elementary Particles and Atomic Nuclei. Theory; Supersymmetry; Symmetry
• ISSN: 1547-4771; 1531-8567
• DOI: 10.1134/S154747712105006X

Exactly solvable solution for the spherical to gamma-unstable transition in transitional nuclei is proposed by using the Bethe ansatz technique within an infinite-dimensional Lie algebra and dual algebraic structure. The duality relations between the unitary and quasi-spin algebraic structures for the boson and fermion systems are extended to the mixed boson-fermion system. The structure of U(6/4) nuclear supersymmetry scheme is discussed. We investigate the change in level structure induced by the phase transition by doing a quantal analysis. It is shown that the relation between the even-even and odd-A neighbors implied by nuclear supersymmetry in addition to dynamical symmetry limits can be also used for transitional regions. The experimental evidences are presented for even-even [E(5)] and odd-mass [E(5/4)] nuclei near the critical point symmetry. New experimental data on the 130 Xe– 131 Xe and the 134 Ba– 135 Ba super-multiplets were used to test the predictions of the supersymmetry scheme in the transition region. The low-states energy spectra for these nuclei have been also calculated and compared with the experimental data.