Effective chiral theory of nucleon-nucleon scattering

preprint1999arXivOpen access

Abstract

We present a new chiral expansion scheme for the nucleon-nucleon scattering amplitude which preserves unitarity exactly. Our effective field theory builds on the power counting rules for 2-nucleon reducible diagrams proposed in \cite{lutz}. We evaluate the leading order terms of the isospin one scattering amplitude and elaborate in detail on the 1S0^1S_0 phase shift. Our chiral description of the 1S0^1S_0-phase shift does compete in quality with modern phenomenological nucleon-nucleon potentials. We describe elastic and inelastic scattering quantitatively up to laboratory energies of Elab≃600E_{\rm lab} \simeq 600 MeV.

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