A Quantization-Constrained Parameter Method for Studying α and Cluster Decay
Abstract
We propose a Quantization-Constrained Parameter Method (QCPM) for determining the Woods-Saxon (WS) potential depth V0 and diffuseness a in studies of α and cluster decay half-lives. In this approach, the parameters are derived analytically by imposing the Bohr--Sommerfeld (BS) quantization condition, thereby eliminating the need for parameter fitting. The calculated diffuseness values exhibit a strong dependence on nuclear shell structure. The reliability of the QCPM-derived WS potential is validated through optical model analyses of elastic α scattering data. The resulting α and cluster decay half-lives show good agreement with experimental values. Our results highlight the significant role of daughter-nucleus deformation in improving the consistency between theoretical predictions and experimental data. In addition, we introduce a modified Woods--Saxon (mWS) potential that effectively approximates the surface behavior of folding potentials incorporating the nuclear medium effect. This modification leads to closer agreement with the measured half-lives. Free of adjustable parameters such as V0 and a, the QCPM enhances the predictive power of phenomenological potentials for α and cluster decay studies.
Versions
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BibTeX
@misc{nga2026quantizationconstrained,
title = {{A Quantization-Constrained Parameter Method for Studying $α$ and Cluster Decay}},
author = {Nguyen Thi Huyen Nga and Le Hoang Chien and Nguyen Tri Toan Phuc and Chau Van Tao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30843},
eprint = {2609.30843},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30843},
}
RIS
TY - UNPB
TI - A Quantization-Constrained Parameter Method for Studying α and Cluster Decay
AU - Nguyen Thi Huyen Nga
AU - Le Hoang Chien
AU - Nguyen Tri Toan Phuc
AU - Chau Van Tao
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.30843
UR - https://arxiv.org/abs/2609.30843
AB - We propose a Quantization-Constrained Parameter Method (QCPM) for determining the Woods-Saxon (WS) potential depth V_0 and diffuseness a in studies of α and cluster decay half-lives. In this approach, the parameters are derived analytically by imposing the Bohr--Sommerfeld (BS) quantization condition, thereby eliminating the need for parameter fitting. The calculated diffuseness values exhibit a strong dependence on nuclear shell structure. The reliability of the QCPM-derived WS potential is validated through optical model analyses of elastic α scattering data. The resulting α and cluster decay half-lives show good agreement with experimental values. Our results highlight the significant role of daughter-nucleus deformation in improving the consistency between theoretical predictions and experimental data. In addition, we introduce a modified Woods--Saxon (mWS) potential that effectively approximates the surface behavior of folding potentials incorporating the nuclear medium effect. This modification leads to closer agreement with the measured half-lives. Free of adjustable parameters such as V_0 and a, the QCPM enhances the predictive power of phenomenological potentials for α and cluster decay studies.
ER -