The NN Scattering $^3S_1-{}^3D_1$ Mixing Angle at NNLO

Published

Journal Article (Academic article)

The 3S1-3D1 mixing angle for nucleon-nucleon scattering, epsilon_1, 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 epsilon_1 well for momenta less than $\sim 50$ MeV. Including pions perturbatively significantly improves the agreement with data for momenta up to $\sim 150$ 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 non-perturbatively. 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.

Duke Authors

Cited Authors

  • Fleming, S; Mehen, T; Stewart, IW

Published Date

  • 2000

Published In

  • Phys. Rev. C

Volume / Issue

  • 61 /

Start / End Page

  • 044005 -