NN scattering 3S1-3D1 mixing angle at next-to-next-to-leading order

Phys. Rev. C 61, 044005 – Published 15 March 2000
Sean Fleming, Thomas Mehen, and Iain W. Stewart

Abstract

The 3S1-3D1 mixing angle for nucleon-nucleon scattering ε1 is calculated to next-to-next-to-leading order in an effective field theory with perturbative pions. Without pions, the low energy theory fits the observed ε1 well for momenta less than ∼50 MeV. Including pions perturbatively significantly improves the agreement with data for momenta up to ∼150 MeV with one less parameter. Furthermore, for these momenta the accuracy of our calculation is similar to an effective field theory calculation in which the pion is treated nonperturbatively. This gives phenomenological support for a perturbative treatment of pions in low energy two-nucleon processes. We explain why it is necessary to perform spin and isospin traces in d dimensions when regulating divergences with dimensional regularization in higher partial wave amplitudes.

DOI: http://dx.doi.org/10.1103/PhysRevC.61.044005

  • Received 13 July 1999
  • Published 15 March 2000

© 2000 The American Physical Society

Authors & Affiliations

Sean Fleming*

  • Physics Department, University of Toronto, Toronto, Ontario, Canada M5S 1A7

Thomas Mehen and Iain W. Stewart

  • California Institute of Technology, Pasadena, California 91125

  • *Electronic address: fleming@furbaide.physics.utoronto.ca
  • Electronic address: mehen@theory.caltech.edu
  • Electronic address: iain@theory.caltech.edu

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