Systematic analysis of double Gamow-Teller sum rules
Hong-Jin Xie, Yi Lu, Shu-Yuan Liang, Yang Lei, Calvin W. Johnson

TL;DR
This paper investigates double Gamow-Teller sum rules in atomic nuclei using shell model approximations, analyzing model dependencies and the role of double isospin-analogue states.
Contribution
It provides a systematic analysis of DGT sum rules across multiple nuclei and estimates model-dependent contributions using nucleon-pair condensate approximations.
Findings
Quantitative estimates of model-dependent fractions in DGT sum rules.
Analysis of the significance of double isospin-analogue states.
Systematic investigation across multiple nuclear shells.
Abstract
Sum rules are important bulk properties of transition strength functions for atomic nuclei. Unlike the Ikeda sum rule for single Gamow-Teller transition, double Gamow-Teller transition sum rules rely on the details of many-body wavefunctions. We approximate the shell model ground state with nucleon-pair condensates, by projection after variation, and compute double Gamow-Teller (DGT) transition sum rules from both and directions. By systematic investigation of DGT sum rules of even-even nuclei in the , major shells, we quantitatively estimate the model-dependent fractions in the sum rules, and analyze the importance of double isospin-analogue state in the DGT strength function.
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