Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1998-08-14
Phys.Rev.C59:13-20,1999
Physics
Nuclear Physics
Nuclear Theory
12 pages, 1 figure, 1 table; appendix added to discuss behavior in chiral limit; minor revisions including revised figure refe
Scientific paper
10.1103/PhysRevC.59.13
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 $m_\pi$ 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 $\epsilon$ parameter which describes $^3S_1 - ^3D_1$ mixing. These theorems are also violated. These failures strongly suggest that the physical value of $m_\pi$ is too large for the chiral expansion to be valid in this context. Comparisons of $m_\pi$ with phenomenological scales known to arise in the two-nucleon problem support this conjecture.
Cohen Thomas D. .
Hansen James M.
No associations
LandOfFree
Low Energy Theorems For Nucleon-Nucleon Scattering does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Low Energy Theorems For Nucleon-Nucleon Scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low Energy Theorems For Nucleon-Nucleon Scattering will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-384489