Symmetry and shape coexistence in 10Be

Abstract

Within the low-lying spectrum of 10Be, multiple rotational bands are found, with strikingly different moments of inertia. A proposed interpretation has been that these bands variously represent triaxial rotation and prolate axially-deformed rotation. The bands are well-reproduced in ab initio no-core configuration interaction (NCCI) calculations. We use the calculated wave functions to elucidate the nuclear shapes underlying these bands, by examining the Elliott SU(3) symmetry content of these wave functions. The ab initio results support an interpretation in which the ground-state band, along with an accompanying K=2 side band, represent a triaxial rotor, arising from an SU(3) irreducible representation in the 0 hbar omega space. Then, the lowest excited K=0 band represents a prolate rotor, arising from an SU(3) irreducible representation in the 2 hbar omega space.

arXiv comment10 pages, 4 figures; contribution to the proceedings of the International Workshop "Shapes and Dynamics of Atomic Nuclei: Contemporary Aspects" (SDANCA-21), Sofia, Bulgaria, September 2021; submitted to Bulg. J. Phys

References in corpus (16)

• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Structure of Excited States of 10Be studied with Antisymmetrized Molecular Dynamics
• Collective Modes in Light Nuclei from First Principles
• N3LO NN interaction adjusted to light nuclei in ab exitu approach
• Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei
• Quadrupole Deformation $\beta$ and $\gamma$ Constraint in a Framework of Antisymmetrized Molecular Dynamics
• Accelerating Nuclear Configuration Interaction Calculations through a Preconditioned Block Iterative Eigensolver
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of the Be isotopes
• Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei
• Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Spin-orbit decomposition of ab initio wavefunctions
• Collective rotation from ab initio theory
• SU(3) symmetry breaking in lower fp-shell nuclei
• Quasidynamical symmetries in the backbending of chromium isotopes
• Construction of the center-of-mass free space for the SU(3) no-core shell model

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• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. I. Electric quadrupole moments and deformation