\texorpdfstring{α}{}-decay for superheavy nucleus: The alpha decay energy to the one-fourth power
Abstract
Recently, Sobhani and Luo \cite{sobhani2025unified} proposed a new empirical formula for α decay based on the Qα−1/4 energy dependence, incorporating the proton number Z, neutron number N, and relative neutron excess I = (N − Z)/(N + Z) as primary parameters. In this work, we extend this model by explicitly including the angular momentum of the emitted α particle and the quadrupole deformation of the daughter nucleus. Using this improved formula to evaluate the α-decay half-lives of 400 nuclei yields a root-mean-square (RMS) deviation of 0.97 relative to experimental data. Furthermore, we employ support vector regression (SVR)-taking Qα−1/4, N, Z, angular momentum, and daughter-nucleus deformation as input features-which further reduces the RMS deviation to 0.56. Finally, we apply both the extended formula and the SVR model to predict the α-decay half-lives of even-even nuclei with Z = 120 and Z = 122. The predicted half-lives show good consistency with those from the Sobhani and Poenaru formulas, and both approaches strongly support N = 184 as the next neutron magic number.
Related
- Shell structure and spontaneous decay of superheavy Z=124 isotopes with the deformed relativistic Hartree-Bogoliubov theory in continuum
- Nuclear decay networks reveal stability patterns in superheavy nuclei
- First observation of the fine structure of the Pygmy Dipole Resonance in a nucleus away from stability via the β- decay of 92Rb to 92Sr
- Spontaneous Decay of High Energy Composite Fermions
- Color screening versus thermal decay as the mechanism of Υ suppression in high energy nuclear collisions
BibTeX
@misc{hu2026texorpdfstringαdecay,
title = {{\texorpdfstring$α$-decay for superheavy nucleus: The alpha decay energy to the one-fourth power}},
author = {Jinyu Hu and Chen Wu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03902},
eprint = {2609.03902},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03902},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - \texorpdfstring{α}{}-decay for superheavy nucleus: The alpha decay energy to the one-fourth power
AU - Jinyu Hu
AU - Chen Wu
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.03902
UR - https://arxiv.org/abs/2609.03902
AB - Recently, Sobhani and Luo \cite{sobhani2025unified} proposed a new empirical formula for α decay based on the Q_α^−1/4 energy dependence, incorporating the proton number Z, neutron number N, and relative neutron excess I = (N − Z)/(N + Z) as primary parameters. In this work, we extend this model by explicitly including the angular momentum of the emitted α particle and the quadrupole deformation of the daughter nucleus. Using this improved formula to evaluate the α-decay half-lives of 400 nuclei yields a root-mean-square (RMS) deviation of 0.97 relative to experimental data. Furthermore, we employ support vector regression (SVR)-taking Q_α^−1/4, N, Z, angular momentum, and daughter-nucleus deformation as input features-which further reduces the RMS deviation to 0.56. Finally, we apply both the extended formula and the SVR model to predict the α-decay half-lives of even-even nuclei with Z = 120 and Z = 122. The predicted half-lives show good consistency with those from the Sobhani and Poenaru formulas, and both approaches strongly support N = 184 as the next neutron magic number.
ER -