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arXiv · 1904.09499

Total number of $J$ levels for identical particles in a single-$j$ shell using coefficients of fractional parentage

Jean-Christophe Pain
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Abstract

Analytical expressions of the total number of $J$ levels for three and four fermions in a nuclear $j^n$ shell are provided. The formulas were derived using a combination of sum rules for coefficients of fractional parentage, and "unusual" identities, i.e. which do not contain the weighting factor $(2J + 1)$ involving $6j$ and $9j$ symbols.

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Jean-Christophe Pain. 2021-09-09. Total number of $J$ levels for identical particles in a single-$j$ shell using coefficients of fractional parentage. https://doi.org/10.1103/physrevc.99.054321

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