English

Progress in NN --> NNpi

Nuclear Theory 2008-11-26 v1

Abstract

We survey the recent developments in the reaction NNNNπNN \to NN\pi in effective field theory. We show that the proper construction of the production operator needs a careful separation of irreducible pieces from reducible ones. The result of this consideration is a complete cancellation of all loops in the production operator at NLO. Moreover, we show that this procedure brings the leading Weinberg-Tomozawa vertex on-shell, thus enhancing the corresponding contribution to the transition amplitude by a factor of 4/3 as compared to the commonly used value. We also discuss the role of the Δ(1232)\Delta(1232) for the s-wave pion production. Being relatively sizable individually the direct and rescattering mechanisms of the Δ\Delta excitation at NLO cancel each other to a large extent. Thus, we conclude that the net effect of the Δ\Delta at NLO is very small.

Cite

@article{arxiv.0711.2748,
  title  = {Progress in NN --> NNpi},
  author = {V. Baru and J. Haidenbauer and C. Hanhart and A. Kudryavtsev and V. Lensky and U. -G. Meissner},
  journal= {arXiv preprint arXiv:0711.2748},
  year   = {2008}
}

Comments

10 papes, 7 figures. Invited talk to the 11th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon, Sept. 10th-14th 2007 (MENU 2007), Juelich, Germany

R2 v1 2026-06-21T09:44:28.867Z