PreprintarXiv licencearXiv
Origin of a peculiar property of four particles in a j=9/2 shell
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 EI of four particular levels with angular momenta I = 4, 6, 10, and 12, are related by EI = 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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BibTeX
@misc{neergard2026origin,
title = {{Origin of a peculiar property of four particles in a $j=9/2$ shell}},
author = {K. Neergård},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28926},
eprint = {2610.28926},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28926},
}
RIS
TY - UNPB
TI - Origin of a peculiar property of four particles in a j=9/2 shell
AU - K. Neergård
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.28926
UR - https://arxiv.org/abs/2610.28926
AB - 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.
ER -