dorsal/arxiv
View SchemaDimensional Regularization and Nuclear Potentials
| Authors | J. L. Friar |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9601013 |
| URL | https://arxiv.org/abs/nucl-th/9601013 |
| DOI | 10.1142/S0217732396003027 |
| Journal | Mod.Phys.Lett.A11:3043-3048,1996 |
Abstract
It is shown how nucleon-nucleon potentials can be defined in N dimensions, using dimensional regularization to continue amplitudes. This provides an easy way to separate out contact ($\delta$-function) terms arising from renormalization. An example is worked out several ways for the case of two scalar particles exchanged between nucleons, which involves a very simple loop calculation. This leads to a Feynman-parameterized representation for the nucleon-nucleon potential. Alternately, a dispersion representation can be developed leading to a different, though equivalent, form.
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"abstract": "It is shown how nucleon-nucleon potentials can be defined in N dimensions,\nusing dimensional regularization to continue amplitudes. This provides an easy\nway to separate out contact ($\\delta$-function) terms arising from\nrenormalization. An example is worked out several ways for the case of two\nscalar particles exchanged between nucleons, which involves a very simple loop\ncalculation. This leads to a Feynman-parameterized representation for the\nnucleon-nucleon potential. Alternately, a dispersion representation can be\ndeveloped leading to a different, though equivalent, form.",
"arxiv_id": "nucl-th/9601013",
"authors": [
"J. L. Friar"
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"doi": "10.1142/S0217732396003027",
"journal_ref": "Mod.Phys.Lett.A11:3043-3048,1996",
"title": "Dimensional Regularization and Nuclear Potentials",
"url": "https://arxiv.org/abs/nucl-th/9601013"
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