More Effective Field Theory for Nonrelativistic Scattering

Abstract

An effective field theory treatment of nucleon-nucleon scattering at low energy shows much promise and could prove a useful tool in the study of nuclear matter at both ordinary and extreme densities. The analysis is complicated by the existence a large length scale --- the scattering length --- which arises due to couplings in the short distance theory being near critical values. I show how this can be dealt with by introducing an explicit s-channel state in the effective field theory. The procedure is worked out analytically in a toy example. I then demonstrate that a simple effective field theory excellently reproduces the 1S_0 np phase shift up to the pion production threshold.

15 pages, TeX ; macros: harvmac, epsf

References in corpus (7)

• The Two-Nucleon Potential from Chiral Lagrangians
• Three-Body Interactions Among Nucleons and Pions
• Nucleon-Nucleon Scattering from Effective Field Theory
• How short is too short? Constraining zero-range interactions in nucleon-nucleon scattering
• Bound States and Power Counting in Effective Field Theories
• Regularization, Renormalization and Range: The Nucleon-Nucleon Interaction from Effective Field Theory
• Effective Field Theories

Cited by in corpus (174)

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