Low Energy Theorems For Nucleon-Nucleon Scattering
| dc.creator | Cohen, Thomas D. | |
| dc.creator | Hansen, James M. | |
| dc.date | 1998-08-14 | |
| dc.date | 1998-10-12 | |
| dc.date.accessioned | 2026-07-07T11:11:50Z | |
| dc.date.available | 2026-07-07T11:11:50Z | |
| dc.description | 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. | |
| dc.description | 12 pages, 1 figure, 1 table; appendix added to discuss behavior in chiral limit; minor revisions including revised figure reference to recent work added | |
| dc.identifier | https://arxiv.org/abs/nucl-th/9808038 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/9808038 | |
| dc.identifier | Phys.Rev.C59:13-20,1999 | |
| dc.identifier | doi:10.1103/PhysRevC.59.13 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191226 | |
| dc.subject | Nuclear Theory | |
| dc.title | Low Energy Theorems For Nucleon-Nucleon Scattering | |
| dc.type | text |