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We calculate in (two-loop) chiral perturbation theory the local NN-potentialsgenerated by the three-pion exchange diagrams proportional to g_A^4 and g_A^6.Surprisingly, we find that the total isoscalar central $3\pi$-exchangepotential vanishes identically. The individually largest $3\pi$-exchangepotentials are of isoscalar spin-spin, isovector central and isoscalar tensortype. For these potentials simple analytical expressions can be given. Thestrength of these dominant $3\pi$-exchange potentials at r=1.0 fm is 4.6 MeV,2.9 MeV and 1.4 MeV, respectively. Furthermore, we observe that the spin-spinand tensor potentials due to the diagrams proportional to g_A^6 do not exist inthe infinite nucleon mass limit.Comment: 8 pages, 5 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

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Chiral 3π-exchangeNNpotentials: Results for diagrams proportional togA4and<…