Chiral 3 pi exchange N N potentials: Results for representation invariant classes of diagrams

Oct, 1999
8 pages
Published in:
  • Phys.Rev.C 61 (2000) 014003
e-Print:

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1999200520112017202302468
Abstract:
We calculate in (two-loop) chiral perturbation theory the local NN-potentials generated by certain classes of three-pion exchange diagrams. We stress that the chiral 3πNN3\pi NN-contact vertex depends on the particular choice of the interpolating pion-field and therefore one has to consider representation invariant classes of diagrams by supplementing graphs involving the chiral 4π4\pi-vertex. We find that the resulting isovector spin-spin and tensor NN-potentials are negligibly small for r0.8r\geq 0.8 fm. One can conclude that the effects of uncorrelated chiral 3π3\pi-exchange in the NN-interaction are very small and therefore of no practical relevance.
  • nucleon nucleon: potential
  • pi: exchange
  • exchange: (3pi)
  • Feynman graph: higher-order
  • perturbation theory: chiral
  • effective Lagrangian
  • vertex function: (2nucleon 3pi)