Description of ¹⁵⁰ Nd nucleus by a new alternative scheme

Abstract

A new scheme was recently proposed in which the usual SU (3) quadrupole-quadrupole interaction was replaced by an O(6) cubic interaction in the Interacting Boson Model, and also successfully applied to the description of 152 Sm for the N = 90 rare earth isotones with X(5) symmetry. By using this new scheme, in the present work, we further explore the properties of another candidate of 150 Nd for the N = 90 with X(5) symmetry. The low-lying energy levels and E2 transition rates are calculated and compared with the experimental data. The results show that the new scheme can also reasonably describe the experimental low-lying spectrum and the intraband and the interband E2 transitions for 150 Nd. However, for the low-lying spectrum, the O(6) cubic interaction seems better in describing the energy levels, especially in higher excited states and γ band, yet the 0 + 2 level within the β band is lower than the corresponding experimental value and, the U (5)-SU (3) scheme seems better to describe the low-lying levels of β band; and for the B(E2) transition, for the intraband transitions within the ground band and some interband transitions between the β band and the ground band, the results from O(6) cubic interaction are better than those from SU (3) quadrupole-quadrupole interaction, yet of which seems better to describe the intraband E2 transitions within β band. The present work is very meaningful in helping us to deeply understand the new characteristics of symmetry by the higher order O(6) cubic interaction.

Description of the evolution of mixed-symmetry states in the N = 78 isotonic chain with IBM2

“…Nuclear shape phase transitions are a current topic in nuclear structure physics [1][2][3][4][5][6][7]. Theoretical studies have typically been based on phenomenological geometric models of nuclear shapes, and algebraic models of nuclear structure [7].…”