The boson number hypothesis and the boson number odd-even effect in ^196-204Hg

2024/12/19 by Wang, Tao, Zhou, Chun-xiao, Fortunato, Lorenzo
#FOS: Physical sciences #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2412.14881

Abstract

In the SU3-IBM the oblate shape is described by the \textrmSU(3) third-order Casimir operator in the large-N limit. However for finite N, this interaction can produce a boson number odd-even effect. In this Letter, we find that, the unique odd-even effect really exists in the nuclei ^196-204Hg. This finding implies that realistic low-lying excitations are sensitive to certain boson number N. The boson number hypothesis is verified for the first time since the advent of the interacting boson model. This also proves the accuracy and validity of the SU3-IBM directly. The SU(3) symmetry and the higher-order interactions are both indispensable for understanding the nuclear quadrupole deformations.

Related

• What can we learn from the Interacting Boson Model in the limit of large boson numbers?
• Contribution of SU(3) quadratic Casimir squared to rotational bands in\n the interacting boson model
• On the microscopic origin of the Interacting Boson Model
• SU(3) analysis for B(E2) anomaly
• The B(E2) anomaly: Evidence for a low-lying mixed-symmetry collective excitation mode