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arXiv · 2505.11305

Systematic analysis of double Gamow-Teller sum rules

Hong-Jin Xie·Yi Lu·Shu-Yuan Liang·Yang Lei·Calvin W. Johnson
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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 $\beta+$ and $\beta-$ directions. By systematic investigation of DGT sum rules of even-even nuclei in the $1s0d$, $1p0f$ 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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Hong-Jin Xie, Yi Lu, Shu-Yuan Liang, Yang Lei, Calvin W. Johnson. 2025-05-16. Systematic analysis of double Gamow-Teller sum rules. https://doi.org/10.3390/sym17122134

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