Forbidden non-unique $β^{-}$ transitions and $g_A$-sensitive electron spectral-shapes
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| Format: | Preprint |
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2025
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| _version_ | 1866911167086067712 |
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| author | Saxena, Archana Srivastava, Praveen C. |
| author_facet | Saxena, Archana Srivastava, Praveen C. |
| contents | In the present work, we have done a systematic study of beta decay properties such as electron spectral-shapes, shape factors, and log$ft$ values for the higher forbidden non-unique $β^{-}$ transitions in the mass region A=85-123. We have performed the nuclear shell model (SM) calculations to explore the sensitivity of the electron spectral-shapes for different axial-vector coupling constants $g_{A}=0.8-1.27$. The effective interactions GWBXG, G-matrix, SNET and SN100PN are used for different model spaces. In the present work, we have computed the electron spectral-shapes of $^{85}$Br, $^{87}$Rb, $^{93}$Zr, $^{97}$Zr, $^{101}$Mo, $^{115}$Cd, $^{117}$Cd, $^{119}$In, $^{123}$Sn and $^{135}$Cs by constraining the small relativistic nuclear matrix element from conserved vector-current hypothesis (CVC). We have found that the electron spectral-shapes are strongly dependent on $g_{A}$ except the second forbidden non-unique $β^{-}$ transition $^{93}$Zr. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_18815 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Forbidden non-unique $β^{-}$ transitions and $g_A$-sensitive electron spectral-shapes Saxena, Archana Srivastava, Praveen C. Nuclear Theory Nuclear Experiment In the present work, we have done a systematic study of beta decay properties such as electron spectral-shapes, shape factors, and log$ft$ values for the higher forbidden non-unique $β^{-}$ transitions in the mass region A=85-123. We have performed the nuclear shell model (SM) calculations to explore the sensitivity of the electron spectral-shapes for different axial-vector coupling constants $g_{A}=0.8-1.27$. The effective interactions GWBXG, G-matrix, SNET and SN100PN are used for different model spaces. In the present work, we have computed the electron spectral-shapes of $^{85}$Br, $^{87}$Rb, $^{93}$Zr, $^{97}$Zr, $^{101}$Mo, $^{115}$Cd, $^{117}$Cd, $^{119}$In, $^{123}$Sn and $^{135}$Cs by constraining the small relativistic nuclear matrix element from conserved vector-current hypothesis (CVC). We have found that the electron spectral-shapes are strongly dependent on $g_{A}$ except the second forbidden non-unique $β^{-}$ transition $^{93}$Zr. |
| title | Forbidden non-unique $β^{-}$ transitions and $g_A$-sensitive electron spectral-shapes |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2502.18815 |