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Abstract
We present a systematic extension of the Hierarchical Fractional Quantization (HFQ) framework to nuclear structure physics. This work demonstrates that the empirical regularity of energy ratios approaching small-denominator rational numbers in nuclear spectra originates from universal sequential symmetry breaking in nuclear many-body systems. The framework provides a priori predictions of rational coefficients based on group representation theory for various nuclear phenomena.
Supplementary materials
Title
Supplementary Material: Appendices for Hierarchical Fractional Quantization in Nuclear Structure
Description
This supplementary material provides detailed appendices supporting the paper "Hierarchical Fractional Quantization in Nuclear Structure." It includes comprehensive group theory derivations, computational methods (DFT, IBM-2, NCSM), complete data tables for several nuclei, validation examples across different nuclear phenomena, systematic comparisons with traditional nuclear models, and a theoretical framework unifying these models under the HFQ approach.
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