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Alternate Derivation of Ginocchio-Haxton relation [(2j+3)/6]

L. Zamick·A. Escuderos
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Abstract

We address the problem, previously considered by Ginocchio and Haxton (G-H), of the number of states for three identical particles in a single j-shell with angular momentum J=j. G-H solved this problem in the context of the quantum Hall effect. We address it in a more direct way. We also consider the case J=j+1 to show that our method is more general, and we show how to take care of added complications for a system of five identical particles.

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L. Zamick, A. Escuderos. 2005-02-22. Alternate Derivation of Ginocchio-Haxton relation [(2j+3)/6]. https://doi.org/10.1103/physrevc.71.054308

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