Effective chiral theory of nucleon-nucleon scattering

Details Effective chiral theory of nucleon-nucleon scattering Effective chiral theory of nucleon-nucleon scattering

1999-06-09

arxiv.org/abs/nucl-th/9906028v2

Nucl.Phys.A677:241-312,2000

Physics

Nuclear Physics

Nuclear Theory

89 pages, 5 figures, submitted to Nucl. Phys. A (substantially revised version)

Scientific paper

10.1016/S0375-9474(00)00206-2

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 $^1S_0$ phase shift. Our chiral description of the $^1S_0$-phase shift does compete in quality with modern phenomenological nucleon-nucleon potentials. We describe elastic and inelastic scattering quantitatively up to laboratory energies of $E_{\rm lab} \simeq 600$ MeV.

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