Phys. Rev. C 68, 044310 (2003) [4 pages]Number of states with a given angular momentum for identical fermions and bosonsReceived 24 April 2003; published 16 October 2003 In this paper we study the number of angular momentum I states for both fermions and bosons. Suppose that n is the particle number, M=Imax−I, and that J refers to the angular momentum of a single-particle orbit for fermions or the spin L carried by bosons. We prove that the number of states is independent of J if M⩽(2J−n+1) for fermions and M⩽2J for bosons, and that the number of I states is independent of both n and J if M⩽min(n,2J+1−n) for fermions and M⩽min(n,2J) for bosons. We also present in this paper empirical formulas for the number of I states of three and four identical fermions or bosons. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevC.68.044310
DOI:
10.1103/PhysRevC.68.044310
PACS:
21.60.Cs, 21.60.Fw, 21.45.+v, 02.90.+p
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