Isospin relations for four nucleons in a single j shell

L. Zamick, A. Escuderos

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We had previously used techniques involving isospin to count the number of states for three identical fermions in a single j shell with total angular momentum I=j. We generalize this to all I, but the main thrust of this work is to consider now a four-fermion system. As before, one evaluates the eigenvalues of the Hamiltonian â i<j[a+bt(i)•t(j)] from both an isospin point of view and an angular momentum point of view. In the four-particle case, we get a more limited result than in the three-particle case, namely the number of T=0 states minus twice the number of T=2 states, all of a given angular momentum I.

Original languageEnglish (US)
Article number044317
JournalPhysical Review C - Nuclear Physics
Issue number4
StatePublished - Oct 2005

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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