Covariant four-dimensional scattering equations for the N N - pi N N system

Feb, 1995
53 pages
Published in:
  • Annals Phys. 247 (1996) 19-77
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Abstract:
We derive a set of coupled four-dimensional integral equations for the NNπNNNN-\pi NN system using our modified version of the Taylor method of classification-of-diagrams. These equations are covariant, obey two and three-body unitarity and contain subtraction terms which eliminate the double-counting present in some previous four-dimensional NNπNNNN-\pi NN equations. The equations are then recast into a from convenient for computation by grouping the subtraction terms together and obtaining a set of two-fragment scattering equations for the amplitudes of interest.
Note:
  • 53 pages, revtex, 18 figures available in hard copy by emailing Daniel.Phillips@cc.flinders.edu.au, submitted to Annals of Physics
  • nucleon nucleon: elastic scattering
  • elastic scattering: nucleon nucleon
  • nucleon nucleon: exclusive reaction
  • vertex function: (2nucleon pi)
  • effective Lagrangian
  • n-point function
  • scattering amplitude: coupled channel
  • coupled channel: scattering amplitude
  • Feynman graph
  • propagator