Robust ab initio predictions for dimensionless ratios of 𝐸2 and radius observables. II. Estimation of 𝐸2 transition strengths by calibration to the charge radius
Converged results for 𝐸2 observables are notoriously challenging to obtain in ab initio no-core configuration interaction 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 2 𝑟 4 ) for nuclei throughout the 𝑝 shell. Finally, meaningful predictions for 𝐸2 transition strengths may then be made by calibrating to the ground-state charge radius if experimentally known.