Stability of bubble nuclei through Shell-Effects

Abstract

We investigate the shell structure of bubble nuclei in simple phenomenological shell models and study their binding energy as a function of the radii and of the number of neutron and protons using Strutinsky's method. Shell effects come about, on the one hand, by the high degeneracy of levels with large angular momentum and, on the other, by the big energy gaps between states with a different number of radial nodes. Shell energies down to -40 MeV are shown to occur for certain magic nuclei. Estimates demonstrate that the calculated shell effects for certain magic numbers of constituents are probably large enough to produce stability against fission, alpha-, and beta-decay. No bubble solutions are found for mass number A < 450.

9 pages and 9 figures in the eps format included

References in corpus (1)

• Stable Coulomb bubbles ?

Cited by in corpus (11)

• Hyperheavy nuclei: existence and stability
• Central depression in nucleonic densities: Trend analysis in nuclear density-functional-theory approach
• Extension of nuclear landscape to hyperheavy nuclei
• Density distributions of superheavy nuclei
• A Survey of Nuclear Pasta in the Intermediate Density Regime I: Shapes and Energies
• Shell correction energy for bubble nuclei
• Predictions of alpha-decay half-lives based on potentials from self-consistent mean-field models
• Hollow nuclear matter
• Bubble nuclei: single-particle versus Coulomb interaction effects
• Freeze-out configuration properties in the 197Au + 197Au reaction at 23 AMeV
• Probing nuclear bubble configuration by the ${\pi }^{-}/{\pi }^{+}$ ratio in heavy-ion collisions