Phys. Rev. C 72, 037302 (2005) [4 pages]Number of states with given spin J of n fermions in a j orbitReceived 27 May 2005; published 15 September 2005 A recursion formula for the number of states with a given value of total spin J of n identical fermions in a j orbit, N(J,j,n), is derived. That number is expressed in terms of the number of states with some values of J, of n,n-1, and n-2 fermions in a (j-1) orbit. This formula may be used in calculating N(J,j,n). In this paper the formula is used to prove some interesting results that were found empirically by Zhao and Arima [1]. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevC.72.037302
DOI:
10.1103/PhysRevC.72.037302
PACS:
21.60.Cs
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