The description of $^{150}$Nd Nucleus by a new alternative scheme

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 $\gamma$ band, yet the $0^{+}_{2}$ level within the $\beta$ band is lower than the corresponding experimental value and, the U(5)-SU(3) scheme seems better to describe the low-lying levels of $\beta$ band; and for the B(E2) transition, for the intraband transitions within the ground band and some interband transitions between the $\beta$ 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 $\beta$ 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.