2009/05/30 by A. Calle Cordón, A. Calle Cordon, E. Ruiz Arriola
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.81.044002
published as Phys.Rev.C81:044002,2010 · 30 pages, 17 figs
arxiv created 2009/05/30 · openalex publication_date 2010/04/20 · arxiv updated 2010/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We analyze the one-boson-exchange potential from the point of view of renormalization theory. We show that the nucleon-meson Lagrangian, while predicting the NN force, does not predict the NN scattering matrix nor the deuteron properties unambiguously due to the appearance of short distance singularities. While the problem has traditionally been circumvented by introducing vertex functions via phenomenological strong form factors, we propose to impose physical renormalization conditions on the scattering amplitude at low energies. Working in the large Nc approximation with \ensuremathπ, \ensuremathσ, \ensuremathρ, and \ensuremathω mesons we show that, once these conditions are applied, results for low-energy phases of proton-neutron scattering as well as deuteron properties become largely insensitive to the form factors and to the vector mesons yielding reasonable agreement with the data and for realistic values of the coupling constants.