Unified Royer law revision for alpha-decay half-lives: shell corrections, pairing,and orbital-angular-momentum
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918264143085568 |
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| author | Ren, Kai Ma, Pengfei Hu, Minghui Tian, Junlong |
| author_facet | Ren, Kai Ma, Pengfei Hu, Minghui Tian, Junlong |
| contents | The Royer law is a widely used empirical relation for calculating alpha-decay half-lives; however, it requires 12 parity-dependent parameters.It exhibits systematic deviations near the shell closure. We propose an improved Royer law by adding a shell-correction term, an odd-even pairing indicator, and an orbital-angular-momentum contribution. This unified framework reduces the number of free parameters to just four, leading to significant improvements in accuracy. The root-mean-square deviation across 550 experimental data points decreases from 0.520 to 0.279, corresponding to a 66.7% reduction in parameters and 46.3% improvement in accuracy. Using this refined formalism, we predict alpha-decay half-lives for superheavy nuclei with atomic numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22057 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unified Royer law revision for alpha-decay half-lives: shell corrections, pairing,and orbital-angular-momentum Ren, Kai Ma, Pengfei Hu, Minghui Tian, Junlong Nuclear Theory The Royer law is a widely used empirical relation for calculating alpha-decay half-lives; however, it requires 12 parity-dependent parameters.It exhibits systematic deviations near the shell closure. We propose an improved Royer law by adding a shell-correction term, an odd-even pairing indicator, and an orbital-angular-momentum contribution. This unified framework reduces the number of free parameters to just four, leading to significant improvements in accuracy. The root-mean-square deviation across 550 experimental data points decreases from 0.520 to 0.279, corresponding to a 66.7% reduction in parameters and 46.3% improvement in accuracy. Using this refined formalism, we predict alpha-decay half-lives for superheavy nuclei with atomic numbers. |
| title | Unified Royer law revision for alpha-decay half-lives: shell corrections, pairing,and orbital-angular-momentum |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2512.22057 |