Chiral $3π$-exchange NN-potentials: results for representation invariant classes of diagrams

Details Chiral $3π$-exchange NN-potentials: results for representation invariant classes of diagrams Chiral $3π$-exchange NN-potentials: results for representation invariant classes of diagrams

1999-10-15

arxiv.org/abs/nucl-th/9910044v1

Phys.Rev. C61 (2000) 014003

Physics

Nuclear Physics

Nuclear Theory

8 pages, 4 figures

Scientific paper

10.1103/PhysRevC.61.014003

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 $3\pi NN$-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 $4\pi$-vertex. We find that the resulting isovector spin-spin and tensor NN-potentials are negligibly small for $r\geq 0.8$ fm. One can conclude that the effects of uncorrelated chiral $3\pi$-exchange in the NN-interaction are very small and therefore of no practical relevance.

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