dorsal/arxiv
View SchemaIsospin relations for four nucleons in a single j shell
| Authors | L. Zamick, A. Escuderos |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0508041 |
| URL | https://arxiv.org/abs/nucl-th/0508041 |
| DOI | 10.1103/PhysRevC.72.044317 |
| Journal | Phys.Rev. C72 (2005) 044317 |
Abstract
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 4-fermion system. As before, one evaluates the eigenvalues of the Hamiltonian \sum_{i<j}[a + bt(i)t(j)] both from an isospin point of view and an angular momentum point of view. In the 4-particle case, we get a more limited result than in the 3-particle case, namely the number of T=0 states minus twice the number of T=2 states, all of a given angular momentum I.
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"abstract": "We had previously used techniques involving isospin to count the number of\nstates for three identical fermions in a single j shell with total angular\nmomentum I=j. We generalize this to all I, but the main thrust of this work is\nto consider now a 4-fermion system. As before, one evaluates the eigenvalues of\nthe Hamiltonian \\sum_{i\u003cj}[a + bt(i)t(j)] both from an isospin point of view\nand an angular momentum point of view. In the 4-particle case, we get a more\nlimited result than in the 3-particle case, namely the number of T=0 states\nminus twice the number of T=2 states, all of a given angular momentum I.",
"arxiv_id": "nucl-th/0508041",
"authors": [
"L. Zamick",
"A. Escuderos"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.72.044317",
"journal_ref": "Phys.Rev. C72 (2005) 044317",
"title": "Isospin relations for four nucleons in a single j shell",
"url": "https://arxiv.org/abs/nucl-th/0508041"
},
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