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arXiv · 2401.06117

Landscape of nuclear deformation softness with spherical quasi-particle random phase approximation

Le-Anh Nguyen·Minh-Loc Bui·Panagiota Papakonstantinou·Naftali Auerbach
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Abstract

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasi-particle random phase approximation, we diagnose ground-state deformation when imaginary solutions are obtained, i.e., the spherical ground state {\em collapses}. We also calculate the multipole polarizability in spherical nuclei with no collapse, as a measure of softness. This numerically light and theoretically sound method is found able to capture deformation patterns across the nuclide chart. The connection between the intrinsic shape of nuclei and the dynamics of their low-lying collective states is established and the role of shell structure is discussed.

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Le-Anh Nguyen, Minh-Loc Bui, Panagiota Papakonstantinou, Naftali Auerbach. 2024-01-11. Landscape of nuclear deformation softness with spherical quasi-particle random phase approximation. https://doi.org/10.1103/physrevc.109.024313

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