1998/08/31 by Thomas D. Cohen, James M. Hansen · 5 citations
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.59.13
published as Phys.Rev.C59:13-20,1999 · 12 pages, 1 figure, 1 table; appendix added to discuss behavior in chiral limit; minor revisions including revised figure reference to recent work added
arxiv created 1998/10/12 · openalex publication_date 1999/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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_\ensuremathπ 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 1S0 and 3S1 channels. Analogous theorems are developed for the energy dependence \ensuremathε parameter which describes 3S1\ensuremath-3D1 mixing. These theorems are also violated. These failures strongly suggest that the physical value of m_\ensuremathπ is too large for the chiral expansion to be valid in this context. Comparisons of m_\ensuremathπ with phenomenological scales known to arise in the two-nucleon problem support this conjecture.