A global study of $α$-clusters decay in heavy and superheavy nuclei with half-life and preformation factor
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929237022212096 |
|---|---|
| author | Saxena, G. Sharma, P. K. Saxena, Prafulla |
| author_facet | Saxena, G. Sharma, P. K. Saxena, Prafulla |
| contents | A detailed study of $α$-clusters decay is exhibited by incorporating crucial microscopic nuclear structure information into the estimations of half-life and preformation factor. For the first time, using the k-cross validation approach, two semi-empirical formulas for (i) $α$-decay half-life and (ii) $α$-particle preformation factor, are picked out and subsequently modified by including shell, odd-nucleon blocking, and asymmetry effects along with the usual dependence on $α$-decay energy ($Q_α$) and angular momentum of $α$-particle. Both the formulas are fitted for the two different regions separated by neutron number N$=$126, as from the experimental systematics the role of N$=$126 shell closure is found decisive in determining the trends of $Q_α$, $α$-decay half-life, and $α$-particle preformation factor. It is found that the inclusion of the above-mentioned degrees of freedom significantly reduces the errors in the estimations when compared with several other similar modified/refitted semi-empirical relations indicating the robustness of the proposed formulas. The predictions of $α$-decay half-life throughout the periodic chart have been made including the unknown territory, future probable decay chain of self-conjugate nucleus $^{112}$Ba terminated on $^{100}$Sn, decay chain of $^{208}$Pa through new isotope $^{204}$Ac as well as decay chains of awaiting superheavy nuclei $^{298}$Og and $^{299}$120. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04970 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A global study of $α$-clusters decay in heavy and superheavy nuclei with half-life and preformation factor Saxena, G. Sharma, P. K. Saxena, Prafulla Nuclear Theory A detailed study of $α$-clusters decay is exhibited by incorporating crucial microscopic nuclear structure information into the estimations of half-life and preformation factor. For the first time, using the k-cross validation approach, two semi-empirical formulas for (i) $α$-decay half-life and (ii) $α$-particle preformation factor, are picked out and subsequently modified by including shell, odd-nucleon blocking, and asymmetry effects along with the usual dependence on $α$-decay energy ($Q_α$) and angular momentum of $α$-particle. Both the formulas are fitted for the two different regions separated by neutron number N$=$126, as from the experimental systematics the role of N$=$126 shell closure is found decisive in determining the trends of $Q_α$, $α$-decay half-life, and $α$-particle preformation factor. It is found that the inclusion of the above-mentioned degrees of freedom significantly reduces the errors in the estimations when compared with several other similar modified/refitted semi-empirical relations indicating the robustness of the proposed formulas. The predictions of $α$-decay half-life throughout the periodic chart have been made including the unknown territory, future probable decay chain of self-conjugate nucleus $^{112}$Ba terminated on $^{100}$Sn, decay chain of $^{208}$Pa through new isotope $^{204}$Ac as well as decay chains of awaiting superheavy nuclei $^{298}$Og and $^{299}$120. |
| title | A global study of $α$-clusters decay in heavy and superheavy nuclei with half-life and preformation factor |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2402.04970 |