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Dimensional Regularization and Nuclear Potentials

J. L. Friar
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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 ($δ$-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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J. L. Friar. 1996-01-10. Dimensional Regularization and Nuclear Potentials. https://doi.org/10.1142/s0217732396003027

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