Number of states for identical particles

M. Bao, Y. M. Zhao, and A. Arima
Phys. Rev. C 93, 014307 – Published 12 January 2016

Abstract

In this paper we study the number of states with given spin for identical particles, denoted as DIn(l) for bosons and as DIn(j) for fermions, where I is the total angular momentum of the system, n is the particle number, l is the spin of a single boson, and j is the spin of a single fermion. We derive relations of DIn(l) and DIn(j); in particular, we obtain recursive and explicit formulas of DIn(l) and DIn(j) in terms of those for n1 particles and apply them to systems of two, three, and five identical particles.

  • Figure
  • Received 16 October 2015

DOI:https://doi.org/10.1103/PhysRevC.93.014307

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

M. Bao1, Y. M. Zhao1,*, and A. Arima1,2

  • 1Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Musashi Gakuen, 1-26-1 Toyotamakami Nerima-ku, Tokyo 176-8533, Japan

  • *Corresponding author: ymzhao@sjtu.edu.cn

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Vol. 93, Iss. 1 — January 2016

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