Authors

Abstract

Background: Recent developments in ab initio nuclear theory demonstrate promising results in medium- toheavy-mass nuclei. A particular challenge for many of the many-body methodologies, however, is an accuratetreatment of the electric-quadrupole, E2, strength associated with collectivity.Purpose: The valence-space in-medium similarity renormalization group (VS-IMSRG) is a particularly powerful method for accessing medium- and high-mass nuclei but has been found to underpredict E2 strengths. Thepurpose of this work is to evaluate the isospin dependence of this underprediction.Methods: We perform a systematic comparison of VS-IMSRG calculations with available literature. Wemake use of isoscalar and isovector contributions to the E2 matrix elements to assess isoscalar and isovectorcontributions to the missing strength.Results: It is found that the E2 strength is consistent throughout Tz = | 12 |, Tz = |1|, Tz = | 32 |, and Tz = 2 pairswithin the sd shell. Furthermore, no isovector contribution to the deficiency is identified.Conclusions: A comparison with toy-models and coupled-cluster calculations is used to discuss potential originsof the missing strength, which arises from missing many-particle, many-hole excitations out of the model space.The absence of any significant isovector contribution to the missing E2 strength indicates that the E2 strengthdiscrepancy, and therefore any correction, is largely independent of the isospin of the nuclei in question.