dorsal/arxiv
View SchemaLow-momentum interactions for nuclei
| Authors | Achim Schwenk |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0412052 |
| URL | https://arxiv.org/abs/nucl-th/0412052 |
| DOI | 10.1088/0954-3899/31/8/005 |
| Journal | J.Phys. G31 (2005) S1273-S1282 |
Abstract
We show how the renormalization group is used to construct a low-momentum nucleon-nucleon interaction V_{low k}, which unifies all potential models used in nuclear structure calculations. V_{low k} can be directly applied to the nuclear shell model or to nucleonic matter without a G matrix resummation. It is argued that V_{low k} parameterizes a high-order chiral effective field theory two-nucleon force. We use cutoff dependence as a tool to assess the error in the truncation of nuclear forces to two-nucleon interactions and introduce a low-momentum three-nucleon force, which regulates A=3,4 binding energies. The adjusted three-nucleon interaction is perturbative for small cutoffs. In contrast to other precision interactions, the error due to missing many-body forces can be estimated, when V_{low k} and the corresponding three-nucleon force are used in nuclear structure calculations and the cutoff is varied.
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"abstract": "We show how the renormalization group is used to construct a low-momentum\nnucleon-nucleon interaction V_{low k}, which unifies all potential models used\nin nuclear structure calculations. V_{low k} can be directly applied to the\nnuclear shell model or to nucleonic matter without a G matrix resummation. It\nis argued that V_{low k} parameterizes a high-order chiral effective field\ntheory two-nucleon force. We use cutoff dependence as a tool to assess the\nerror in the truncation of nuclear forces to two-nucleon interactions and\nintroduce a low-momentum three-nucleon force, which regulates A=3,4 binding\nenergies. The adjusted three-nucleon interaction is perturbative for small\ncutoffs. In contrast to other precision interactions, the error due to missing\nmany-body forces can be estimated, when V_{low k} and the corresponding\nthree-nucleon force are used in nuclear structure calculations and the cutoff\nis varied.",
"arxiv_id": "nucl-th/0412052",
"authors": [
"Achim Schwenk"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0954-3899/31/8/005",
"journal_ref": "J.Phys. G31 (2005) S1273-S1282",
"title": "Low-momentum interactions for nuclei",
"url": "https://arxiv.org/abs/nucl-th/0412052"
},
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