Systematic analysis of double Gamow-Teller sum rules
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915904678264832 |
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| author | Xie, Hong-Jin Lu, Yi Liang, Shu-Yuan Lei, Yang Johnson, Calvin W. |
| author_facet | Xie, Hong-Jin Lu, Yi Liang, Shu-Yuan Lei, Yang Johnson, Calvin W. |
| contents | 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 $β+$ and $β-$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Systematic analysis of double Gamow-Teller sum rules Xie, Hong-Jin Lu, Yi Liang, Shu-Yuan Lei, Yang Johnson, Calvin W. Nuclear Theory 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 $β+$ and $β-$ 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. |
| title | Systematic analysis of double Gamow-Teller sum rules |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2505.11305 |