dorsal/arxiv
View SchemaMany Body Methods and Effective Field Theory
| Authors | Thomas Schaefer, Chung-Wen Kao, Stephen R. Cotanch |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0504088 |
| URL | https://arxiv.org/abs/nucl-th/0504088 |
| DOI | 10.1016/j.nuclphysa.2005.08.006 |
| Journal | Nucl.Phys. A762 (2005) 82-101 |
Abstract
In the framework of pionless nucleon-nucleon effective field theory we study different approximation schemes for the nuclear many body problem. We consider, in particular, ladder diagrams constructed from particle-particle, hole-hole, and particle-hole pairs. We focus on the problem of finding a suitable starting point for perturbative calculations near the unitary limit (k_Fa)->infinity and (k_Fr)-> 0, where k_F is the Fermi momentum, a is the scattering length and r is the effective range. We try to clarify the relationship between different classes of diagrams and the large g and large D approximations, where g is the fermion degeneracy and D is the number of space time dimensions. In the large D limit we find that the energy per particle in the strongly interacting system is 1/2 the result for free fermions.
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"abstract": "In the framework of pionless nucleon-nucleon effective field theory we study\ndifferent approximation schemes for the nuclear many body problem. We consider,\nin particular, ladder diagrams constructed from particle-particle, hole-hole,\nand particle-hole pairs. We focus on the problem of finding a suitable starting\npoint for perturbative calculations near the unitary limit (k_Fa)-\u003einfinity and\n(k_Fr)-\u003e 0, where k_F is the Fermi momentum, a is the scattering length and r\nis the effective range. We try to clarify the relationship between different\nclasses of diagrams and the large g and large D approximations, where g is the\nfermion degeneracy and D is the number of space time dimensions. In the large D\nlimit we find that the energy per particle in the strongly interacting system\nis 1/2 the result for free fermions.",
"arxiv_id": "nucl-th/0504088",
"authors": [
"Thomas Schaefer",
"Chung-Wen Kao",
"Stephen R. Cotanch"
],
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"nucl-th",
"cond-mat.other"
],
"doi": "10.1016/j.nuclphysa.2005.08.006",
"journal_ref": "Nucl.Phys. A762 (2005) 82-101",
"title": "Many Body Methods and Effective Field Theory",
"url": "https://arxiv.org/abs/nucl-th/0504088"
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