dorsal/arxiv
View SchemaBeyond the Shell Model: The Canonical Nuclear Many-Body Problem as an Effective Theory
| Authors | W. C. Haxton, C. -L. Song |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9907097 |
| URL | https://arxiv.org/abs/nucl-th/9907097 |
| DOI | 10.1103/PhysRevLett.84.5484 |
| Journal | Phys.Rev.Lett. 84 (2000) 5484 |
Abstract
We describe a strategy for attacking the canonical nuclear structure problem ---bound-state properties of a system of point nucleons interacting via a two-body potential---which involves an expansion in the number of particles scattering at high momenta, but is otherwise exact. The required self-consistent solutions of the Bloch-Horowitz equation for effective interactions and operators are obtained by an efficient Green's function method based on the Lanczos algorithm. We carry out this program for the simplest nuclei, d and $^3$He, to contrast a rigorous effective theory with the shell model, thereby illustrating several of the uncontrolled approximations in the latter.
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"abstract": "We describe a strategy for attacking the canonical nuclear structure problem\n---bound-state properties of a system of point nucleons interacting via a\ntwo-body potential---which involves an expansion in the number of particles\nscattering at high momenta, but is otherwise exact. The required\nself-consistent solutions of the Bloch-Horowitz equation for effective\ninteractions and operators are obtained by an efficient Green\u0027s function method\nbased on the Lanczos algorithm. We carry out this program for the simplest\nnuclei, d and $^3$He, to contrast a rigorous effective theory with the shell\nmodel, thereby illustrating several of the uncontrolled approximations in the\nlatter.",
"arxiv_id": "nucl-th/9907097",
"authors": [
"W. C. Haxton",
"C. -L. Song"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevLett.84.5484",
"journal_ref": "Phys.Rev.Lett. 84 (2000) 5484",
"title": "Beyond the Shell Model: The Canonical Nuclear Many-Body Problem as an Effective Theory",
"url": "https://arxiv.org/abs/nucl-th/9907097"
},
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