Novel way of evaluating $g_A$ quenching in $β^+$/EC decays : Introducing the Branching-Ratio Method (BRM)
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910783722487808 |
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| author | Agnihotri, Aagrah Suhonen, Jouni |
| author_facet | Agnihotri, Aagrah Suhonen, Jouni |
| contents | The novel Branching-Ratio Method (BRM) for the determination of effective value $g_{\rm A}^{\rm eff}$ of the weak axial coupling $g_{\rm A}$ for forbidden non-unique (FNU) $β^+$/electron-capture(EC) decays is introduced. The method offers new possibilities for testing the fitness of nuclear Hamiltonians in modeling the physics of complex $β^+$/EC decays. The constraint of simultaneously reproducing the branching to $β^+$ and EC transitions offers an additional constraint in tackling the problem of $g_{\rm A}^{\rm eff}$ determination. In the BRM the ambiguity in the choice of the values of $g_{\rm A}^{\rm eff}$ and s-NME (small relativistic vector nuclear matrix element) is lifted when constraints of the branching ratios of $β^+$ and EC decays are applied. As an example, in the present work we apply BRM to the case of second FNU $β^+$/EC decay of $^{59}$Ni. This decay is treated with three different nuclear shell-model (NSM) Hamiltonians demonstrating the effects of different nuclear-structure aspects in application of the BRM. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07370 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Novel way of evaluating $g_A$ quenching in $β^+$/EC decays : Introducing the Branching-Ratio Method (BRM) Agnihotri, Aagrah Suhonen, Jouni Nuclear Theory The novel Branching-Ratio Method (BRM) for the determination of effective value $g_{\rm A}^{\rm eff}$ of the weak axial coupling $g_{\rm A}$ for forbidden non-unique (FNU) $β^+$/electron-capture(EC) decays is introduced. The method offers new possibilities for testing the fitness of nuclear Hamiltonians in modeling the physics of complex $β^+$/EC decays. The constraint of simultaneously reproducing the branching to $β^+$ and EC transitions offers an additional constraint in tackling the problem of $g_{\rm A}^{\rm eff}$ determination. In the BRM the ambiguity in the choice of the values of $g_{\rm A}^{\rm eff}$ and s-NME (small relativistic vector nuclear matrix element) is lifted when constraints of the branching ratios of $β^+$ and EC decays are applied. As an example, in the present work we apply BRM to the case of second FNU $β^+$/EC decay of $^{59}$Ni. This decay is treated with three different nuclear shell-model (NSM) Hamiltonians demonstrating the effects of different nuclear-structure aspects in application of the BRM. |
| title | Novel way of evaluating $g_A$ quenching in $β^+$/EC decays : Introducing the Branching-Ratio Method (BRM) |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2501.07370 |