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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2407.18025 |
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| _version_ | 1866914886858047488 |
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| author | Dassie, A. C. Betan, R. M. Id |
| author_facet | Dassie, A. C. Betan, R. M. Id |
| contents | The microscopic description of alpha decay from the nucleons' degree of freedom involves a two-step process. The first consists of the clusterization of neutron and proton pairs; the second involves the tunneling process. A robust protocol for calculating the normalized spectroscopic factor, as defined by Fliessbach, and its error is established and used for calculating the alpha-width for the $0^+$ states of the nucleus $^{44}$Ti. The Gamow Shell Model is used to calculate the structure part of the alpha-decay, while the Gamow wave function determines the reaction part. The conventional and normalized spectroscopic factors are calculated for the ground and excited $0^+$ states of $^{44}$Ti and the alpha-width and half-life of the excited states. A near alpha-threshold state has an alpha half-life of 5 $μ$sec. The normalization does not appreciably modify the ground-state clusterization, while the excited states do. The non-resonant continuum significantly increases the clustering of some of the excited states, particularly the $T=2$ state. The normalized formation amplitude looks like a single-particle wave function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18025 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Alpha-decay from $^{44}$Ti: Microscopic alpha half-life calculation using normalized spectroscopic factor Dassie, A. C. Betan, R. M. Id Nuclear Theory The microscopic description of alpha decay from the nucleons' degree of freedom involves a two-step process. The first consists of the clusterization of neutron and proton pairs; the second involves the tunneling process. A robust protocol for calculating the normalized spectroscopic factor, as defined by Fliessbach, and its error is established and used for calculating the alpha-width for the $0^+$ states of the nucleus $^{44}$Ti. The Gamow Shell Model is used to calculate the structure part of the alpha-decay, while the Gamow wave function determines the reaction part. The conventional and normalized spectroscopic factors are calculated for the ground and excited $0^+$ states of $^{44}$Ti and the alpha-width and half-life of the excited states. A near alpha-threshold state has an alpha half-life of 5 $μ$sec. The normalization does not appreciably modify the ground-state clusterization, while the excited states do. The non-resonant continuum significantly increases the clustering of some of the excited states, particularly the $T=2$ state. The normalized formation amplitude looks like a single-particle wave function. |
| title | Alpha-decay from $^{44}$Ti: Microscopic alpha half-life calculation using normalized spectroscopic factor |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2407.18025 |