Large-scale shell-model study of 2$ν$ECEC process in $^{78}$Kr
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908387250274304 |
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| author | Patel, Deepak Srivastava, Praveen C. |
| author_facet | Patel, Deepak Srivastava, Praveen C. |
| contents | In this work, we present the systematic study of $2ν$ECEC process in the $^{78}$Kr using large-scale shell-model calculations with the GWBXG effective interaction. We first validate the efficiency of the utilized interaction by comparing the theoretical low-lying energy spectra, the kinematic moment of inertia, and reduced transition probabilities with the experimental data for both the parent and grand-daughter nuclei $^{78}$Kr and $^{78}$Se, respectively. Additionally, we examine the shell-model level densities of the $1^+$ states in the intermediate nucleus $^{78}$Br, comparing them with the predictions from the Back-shifted Fermi gas model. We analyze the variation of cumulative nuclear matrix elements (NMEs) for the $2ν$ECEC process in $^{78}$Kr as a function of $1^+$ state energies in the intermediate nucleus $^{78}$Br up to the saturation level. Our estimated half-life for $^{78}$Kr, extracted from the shell-model predicted NMEs, shows good agreement with the experimental value. The Gamow-Teller transitions from the lowest $1^+$ state of $^{78}$Br via both the EC$+β^+$ and $β^-$-channels are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05844 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large-scale shell-model study of 2$ν$ECEC process in $^{78}$Kr Patel, Deepak Srivastava, Praveen C. Nuclear Theory Nuclear Experiment In this work, we present the systematic study of $2ν$ECEC process in the $^{78}$Kr using large-scale shell-model calculations with the GWBXG effective interaction. We first validate the efficiency of the utilized interaction by comparing the theoretical low-lying energy spectra, the kinematic moment of inertia, and reduced transition probabilities with the experimental data for both the parent and grand-daughter nuclei $^{78}$Kr and $^{78}$Se, respectively. Additionally, we examine the shell-model level densities of the $1^+$ states in the intermediate nucleus $^{78}$Br, comparing them with the predictions from the Back-shifted Fermi gas model. We analyze the variation of cumulative nuclear matrix elements (NMEs) for the $2ν$ECEC process in $^{78}$Kr as a function of $1^+$ state energies in the intermediate nucleus $^{78}$Br up to the saturation level. Our estimated half-life for $^{78}$Kr, extracted from the shell-model predicted NMEs, shows good agreement with the experimental value. The Gamow-Teller transitions from the lowest $1^+$ state of $^{78}$Br via both the EC$+β^+$ and $β^-$-channels are also discussed. |
| title | Large-scale shell-model study of 2$ν$ECEC process in $^{78}$Kr |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2412.05844 |