Münster 2002 – scientific programme
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HK: Physik der Hadronen und Kerne
HK 9: Poster Session: Theory
HK 9.11: Poster
Tuesday, March 12, 2002, 10:30–12:45, Foyer Chemie
Chiral 2π-exchange NN-potentials: Two-loop contributions — •Norbert Kaiser — Physik-Department T39, TU-München, 85747 Garching
We calculate in heavy baryon chiral perturbation theory the local NN-potentials generated by the two-pion exchange diagrams at two-loop order. We give explicit expressions for the mass-spectra (or imaginary parts) of the corresponding isoscalar and isovector central, spin-spin and tensor NN-amplitudes. We find from two-loop two-pion exchange a sizeable isoscalar central repulsion which amounts to 62.3 MeV at r=1.0 fm. There is a similarly strong isovector central attraction which however originates mainly from the third order low energy constants dj entering the chiral π N-scattering amplitude. We also evaluate the one-loop 2π-exchange diagram with two second order chiral π π NN-vertices proportional to the low energy constants c1,2, 3,4 as well as the first relativistic 1/M-correction to the 2π-exchange diagrams with one such vertex. The diagrammatic results presented here are relevant components of the chiral NN-potential at next-to-next-to-next-to-leading order.
[1] N. Kaiser, Phys. Rev. C64 (2001) 057001. Work supported in part by BMBF, DFG and GSI.