Dimensional Regularization and Nuclear Potentials

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.

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

Cited by in corpus (6)

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• Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases
• The Quark-Mass Dependence of Two-Nucleon Systems
• Variation of Fundamental Couplings and Nuclear Forces
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• Parity- and time-reversal-violating nuclear forces