Systematic analysis of double Gamow-Teller sum rules
Nuclear Theory
2026-04-02 v2
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.
Cite
@article{arxiv.2505.11305,
title = {Systematic analysis of double Gamow-Teller sum rules},
author = {Hong-Jin Xie and Yi Lu and Shu-Yuan Liang and Yang Lei and Calvin W. Johnson},
journal= {arXiv preprint arXiv:2505.11305},
year = {2026}
}