What question did this study set out to answer?

The aim is to develop a measure for ranking isotopic stability based on geometric properties without using binding energies.

March 31, 2026Open Access

The Geometry of Nuclear Stability: The Omega Morphological Index for Isotopic Stability Landscapes

Key Points

The aim is to develop a measure for ranking isotopic stability based on geometric properties without using binding energies.
Introduced the Omega morphological index for evaluating isotopic stability.
Conducted evaluations across the complete nuclear chart from Z = 1 to 118.
Performed statistical validation and robustness analyses on the index.
Interpreted nuclear stability using morphological concepts.
Extended analysis to superheavy nuclei.
Successfully reproduced the valley of stability and intra-element stability hierarchies.
Demonstrated strong correlation between the index and half-life data.
Validated robustness of the index across different isotopes.

Abstract

This work introduces the Omega (Ω) morphological index, a normalized measure for ranking isotopic stability within isotopic chains based on geometric and symmetry-related nuclear properties. The index reproduces key structural features of nuclear stability, including the valley of stability and intra-element stability hierarchies, without relying on binding energies or fitted parameters. The study includes: Full evaluation across the nuclear chart (Z = 1–118) Statistical validation and robustness analyses Morphological interpretation of nuclear stability Correlation with half-life data Extension to superheavy nuclei All computational data, code, and reproducible results supporting this work are available in the associated Zenodo dataset: https://doi.org/10.5281/zenodo.19314424

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