Robust ab initio predictions for dimensionless ratios of E2 and radius observables. II. Estimation of E2 transition strengths by calibration to the charge radius

TL;DR

This paper develops a method to improve ab initio predictions of E2 transition strengths by calibrating to charge radius data, addressing convergence issues in nuclear structure calculations.

Contribution

It introduces a systematic approach to relate E2 observables to charge radii, enabling more accurate predictions of E2 transition strengths in p-shell nuclei.

Findings

Correlations between E2 and radius observables are exploited.

Calibration to charge radius improves E2 transition strength predictions.

Method addresses slow convergence in ab initio calculations.

Abstract

Converged results for E2 observables are notoriously challenging to obtain in ab initio no-core configuration interaction (NCCI) approaches. Matrix elements of the E2 operator are sensitive to the large-distance tails of the nuclear wave function, which converge slowly in an oscillator basis expansion. Similar convergence challenges beset ab initio prediction of the nuclear charge radius. However, we exploit systematic correlations between the calculated E2 and radius observables to yield meaningful predictions for relations among these observables. In particular, we examine ab initio predictions for dimensionless ratios of the form B(E2)/(e^2r^4), for nuclei throughout the p shell. Meaningful predictions for E2 transition strengths may then be made by calibrating to the ground-state charge radius, if experimentally known.