On the extension of quantum similarity to atomic nuclei: Nuclear quantum similarity

Quantum similarity is a useful tool to establish comparisons between elements of a quantum object set and, so far applied successfully to molecular physics, is applied here to atomic nuclei. Quantum Similarity Measures (QSM) and Indices (QSI) are introduced to study an arbitrary set of 20 nuclei. From this study, relationships between nuclear overlap‐like self‐similarities and size‐like properties are found. A bidimensional projection of the set is performed, and Mendeleev conjecture is invoked to predict qualitatively some nuclear ground‐state properties, such as total binding energy per nucleon, nuclear radius, nuclear volume, total and partial energies, etc.

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