Low Energy Theorems For Nucleon-Nucleon Scattering release_gvze5fnt5jcb7hfezz65uhbcoa

by Thomas D. Cohen, James M. Hansen

Released as a article .

1998  

Abstract

Low energy theorems are derived for the coefficients of the effective range expansion in s-wave nucleon-nucleon scattering valid to leading order in an expansion in which both m_π and 1/a (where a is the scattering length) are treated as small mass scales. Comparisons with phase shift data, however, reveal a pattern of gross violations of the theorems for all coefficients in both the ^1S_0 and ^3S_1 channels. Analogous theorems are developed for the energy dependence ϵ parameter which describes ^3S_1 - ^3D_1 mixing. These theorems are also violated. These failures strongly suggest that the physical value of m_π is too large for the chiral expansion to be valid in this context. Comparisons of m_π with phenomenological scales known to arise in the two-nucleon problem support this conjecture.
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Type  article
Stage   accepted
Date   1998-10-12
Version   v3
Language   en ?
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