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Main Authors: Ren, Kai, Ma, Pengfei, Hu, Minghui, Tian, Junlong
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.22057
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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