Microscopic formulation of the interacting boson model for reflection asymmetric nuclei

Nov 1, 2022
20 pages
Published in:
  • Int.J.Mod.Phys.E 32 (2023) 10, 2340001
  • Published: Mar 8, 2023
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Abstract: (WSP)
Reflection asymmetric, octupole shapes in nuclei are a prominent aspect of nuclear structure, and have been recurrently studied over the decades. Recent experiments using radioactive-ion beams have provided evidence for stable octupole shapes. A variety of nuclear models have been employed for the related theoretical analyses. We review recent studies on the nuclear octupole shapes and collective excitations within the interacting boson model. A special focus is placed on the microscopic formulation of this model by using the mean-field method that is based on the framework of nuclear density functional theory. As an illustrative example, a stable octupole deformation, and a shape phase transition as a function of nucleon number that involves both quadrupole and octupole degrees of freedom are shown to occur in light actinides. Systematic spectroscopic studies indicate enhancement of the octupole collectivity in a wide mass region. Couplings between the octupole and additional degrees of freedom are incorporated in a microscopic manner in the boson system, and shown to play a crucial role in the description of the related intriguing nuclear structure phenomena such as the shape coexistence.
Note:
  • 20 pages, 12 figures; Invited contribution submitted to the Special Issue "Reflection Asymmetry in Atomic Nuclei" in Int. J. Mod. Phys. E
  • Octupole deformation
  • interacting boson model
  • mean-field model
  • density functional theory
  • shape phase transition
  • shape coexistence
  • 21.10.Re
  • 21.60.Ev
  • 21.60.Fw
  • 21.60.Jz