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

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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… Click to show full 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.

Keywords: total number; number levels; shell; coefficients fractional; fractional parentage

Journal Title: Physical Review C
Year Published: 2019

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