Electromagnetic Corrections to the One-Pion-Exchange Potential

U. van Kolck; M. C. M. Rentmeester; J. L. Friar; T. Goldman; J. J. de Swart

doi:10.1103/PhysRevLett.80.4386

Electromagnetic Corrections to the One-Pion-Exchange Potential

U. van Kolck, M. C. M. Rentmeester, J. L. Friar, T. Goldman, and J. J. de Swart

Phys. Rev. Lett. 80, 4386 – Published 18 May 1998

Abstract

Leading-order electromagnetic loop corrections to the one-pion-exchange potential are computed within the framework of chiral perturbation theory. These corrections generate an effective nucleon-nucleon potential, $V_{π γ}$ , which supplements the sum of one-pion-exchange potential and the nucleon-nucleon Coulomb potential. This potential is charge dependent and its construction is demonstrated to be gauge invariant. The potential $V_{π γ}$ has been included in the Nijmegen partial-wave analysis of $np$ data. A particular renormalization scheme is chosen that leads to a negligible change in the $π^{\pm} NN$ coupling constant and in the $np$ ${}^{1}S_{0}$ scattering length and effective range.

Received 28 October 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.4386

Authors & Affiliations

U. van Kolck¹, M. C. M. Rentmeester^2,5, J. L. Friar^3,4, T. Goldman³, and J. J. de Swart⁵

¹Department of Physics, University of Washington, Seattle, Washington 98195-1560
²Department of Physics, The Flinders University of South Australia, Bedford Park, SA 5042, Australia
³Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
⁴Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550
⁵Institute for Theoretical Physics, University of Nijmegen, Nijmegen, The Netherlands