Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description

TL;DR

This paper demonstrates that ab initio nuclear theory reveals an emergent Sp(3,R) dynamical symmetry in the 7Be nucleus, linking microscopic calculations to collective nuclear behaviors and spectra.

Contribution

It identifies an emergent Sp(3,R) symmetry within ab initio predictions, providing new insights into nuclear collective correlations from a microscopic approach.

Findings

Sp(3,R) symmetry explains the spectrum of 7Be

Low-lying states form an Elliott SU(3) spectrum

An Sp(3,R) excitation leads to an excited rotational band

Abstract

Ab initio nuclear theory provides not only a microscopic framework for quantitative description of the nuclear many-body system, but also a foundation for deeper understanding of emergent collective correlations. A symplectic Sp(3,R)$\supset$U(3) dynamical symmetry is identified in ab initio predictions, from a no-core configuration interaction approach, and found to provide a qualitative understanding of the spectrum of 7Be. Low-lying states form an Elliott SU(3) spectrum, while an Sp(3,R) excitation gives rise to an excited rotational band with strong quadrupole connections to the ground state band.