English

Chiral 2$\pi$-exchange NN-potentials: Relativistic $1/M^2$-Corrections

Nuclear Theory 2009-11-07 v1

Abstract

We calculate in baryon chiral perturbation theory the relativistic 1/M21/M^2-corrections to the leading order two-pion exchange diagrams. We give explicit expressions for the corresponding one-loop NN-amplitudes in momentum space. The resulting isovector central and isoscalar spin-spin and tensor NN-amplitudes involve non-static terms proportional to the squared nucleon center-of-mass momentum p2p^2. From the two-pion exchange box diagrams we obtain an isoscalar quadratic spin-orbit NN-amplitude. We give also analytical expressions for the corresponding NN-potentials in coordinate space. The diagrammatic results presented here make the chiral NN-potential complete at next-to-next-to-next-to-leading order.

Keywords

Cite

@article{arxiv.nucl-th/0109071,
  title  = {Chiral 2$\pi$-exchange NN-potentials: Relativistic $1/M^2$-Corrections},
  author = {N. Kaiser},
  journal= {arXiv preprint arXiv:nucl-th/0109071},
  year   = {2009}
}

Comments

6 pages, 3 figures, submitted to Physical Review C (Brief Reports)