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Number of spin-I states for three identical particles in a single-j shell
KTH, School of Engineering Sciences (SCI), Physics.
2013 (English)In: Physical Review C. Nuclear Physics, ISSN 0556-2813, E-ISSN 1089-490X, Vol. 87, no 3, 034313- p.Article in journal (Refereed) Published
Abstract [en]

In this paper we derive the analytical formulas of the number of spin-I states (denoted as D-I) for three identical particles, in a unified form for both fermions and bosons. This is done by using (n) over bar virtual bosons with spin 3/2, where (n) over bar equals 2j - 2 if one studies fermions in a single-j shell or 2l if one studies bosons with spin l. We first obtain a reduction rule from U(4) to O(3) for such virtual bosons and thereby derive the formulas of D-I. The formulas thus obtained are proved to be consistent with previous empirical formulas.

Place, publisher, year, edition, pages
2013. Vol. 87, no 3, 034313- p.
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-120536DOI: 10.1103/PhysRevC.87.034313ISI: 000316105900003ScopusID: 2-s2.0-84875202958OAI: diva2:615652

QC 20130414

Available from: 2013-04-11 Created: 2013-04-11 Last updated: 2013-04-11Bibliographically approved

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