Origin of a peculiar property of four particles in a $j=9/2$ shell

K. Neergård

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arXiv · 2610.28926

Origin of a peculiar property of four particles in a $j=9/2$ shell

K. Neergård

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Abstract

It was found previously that in the system of four particles of the same kind in an angular momentum $j = 9/2$ shell, the energies $E_I$ of four particular levels with angular momenta $I = 4$, 6, 10, and 12, are related by $E_I = a + b I(I+1)$, where $a$ and $b$ depend only on the two-body interaction. Here, I discuss observable implications of this regularity and analyse in detail its origin.

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K. Neergård. 2026-10-26. Origin of a peculiar property of four particles in a $j=9/2$ shell. https://arxiv.org/abs/2610.28926

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