2004/05/20 by M. Pavon Valderrama, Manuel Pavón Valderrama, E. Ruiz Arriola · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.70.044006
published as Phys.Rev.C70:044006,2004 · 22 pages, 10 figures, revtex
arxiv created 2004/05/20 · openalex publication_date 2004/10/29 · arxiv updated 2009/12/01 · openalex created_date 2022/05/12 · openalex updated_date 2026/07/28
A nonperturbative renormalization scheme for nucleon-nucleon interaction based on boundary conditions at short distances is presented and applied to the one pion exchange potential. It is free of off-shell ambiguities and ultraviolet divergences, provides finite results at any step of the calculation, and allows us to remove the short distance cutoff in a suitable way. Low energy constants and their nonperturbative evolution can be directly obtained from experimental threshold parameters in a completely unique and model independent way when the long range explicit pion effects are eliminated. This allows us to compute scattering phase shifts which are, by construction, consistent with the effective range expansion to a given order in the center of mass (c.m.) momentum p. In the singlet 1S0 and triplet 3S1\text\ensuremath-3D1 channels ultraviolet fixed points and limit cycles are obtained, respectively, for the threshold parameters. Data are described satisfactorily up to c.m. momenta of about p\ensuremath∼m_\ensuremathπ.