Efficacy of the SU(3) scheme for ab initio large-scale calculations beyond the lightest nuclei

Abstract

We report on the computational characteristics of ab initio nuclear structure calculations in a symmetry-adapted no-core shell model (SA-NCSM) framework. We examine the computational complexity of the current implementation of the SA-NCSM approach, dubbed LSU3shell, by analyzing ab initio results for 6Li and 12C in large harmonic oscillator model spaces and SU(3)-selected subspaces. We demonstrate LSU3shell's strong-scaling properties achieved with highly-parallel methods for computing the many-body matrix elements. Results compare favorably with complete model space calculations and significant memory savings are achieved in physically important applications. In particular, a well-chosen symmetry-adapted basis affords memory savings in calculations of states with a fixed total angular momentum in large model spaces while exactly preserving translational invariance.

11 pages, 8 figures

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• The proxy-SU(3) symmetry in atomic nuclei
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• Benchmark calculations of electromagnetic sum rules with a symmetry-adapted basis and hyperspherical harmonics
• Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective
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• Deep Quantum Circuit Simulations of Low-Energy Nuclear States
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