Dimensional Regularization and Nuclear Potentials

Details Dimensional Regularization and Nuclear Potentials Dimensional Regularization and Nuclear Potentials

1996-01-10

arxiv.org/abs/nucl-th/9601013v1

Mod.Phys.Lett. A11 (1996) 3043-3048

Physics

Nuclear Physics

Nuclear Theory

7 pages, latex, 2 figures -- To appear in Int. J. Mod. Phys. E -- epsfig.sty required

Scientific paper

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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