Chiral $π$-exchange NN-potentials: Results for diagrams proportional to g_A^4 and g_A^6

Details Chiral $π$-exchange NN-potentials: Results for diagrams proportional to g_A^4 and g_A^6 Chiral $π$-exchange NN-potentials: Results for diagrams proportional to g_A^4 and g_A^6

1999-12-22

arxiv.org/abs/nucl-th/9912054v1

Phys.Rev. C62 (2000) 024001

Physics

Nuclear Physics

Nuclear Theory

8 pages, 5 figures

Scientific paper

10.1103/PhysRevC.62.024001

We calculate in (two-loop) chiral perturbation theory the local NN-potentials generated by the three-pion exchange diagrams proportional to g_A^4 and g_A^6. Surprisingly, we find that the total isoscalar central $3\pi$-exchange potential vanishes identically. The individually largest $3\pi$-exchange potentials are of isoscalar spin-spin, isovector central and isoscalar tensor type. For these potentials simple analytical expressions can be given. The strength 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-spin and tensor potentials due to the diagrams proportional to g_A^6 do not exist in the infinite nucleon mass limit.

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