摘要
This paper describes a new numerical QCD calculation method (direct minimization of QCD-QED-action) and its results for the first-generation (u, d) hadrons. Here we start with the standard color-Lagrangian LQCD = LDirac + Lgluon, model the quarks q<sub>i</sub> as parameterized gaussians, and the gluons Ag<sub>i</sub> as Ritz-Galerkin-series. We minimize the Lagrangian numerically with parameters par = (par (q), {α<sub>k</sub>}, par (Ag)) for first-generation hadrons (nucleons, pseudo-scalar mesons, vector mesons). The resulting parameters yield the correct masses and correct magnetic moments for the nucleons, the gluon-distribution and the quark-distribution with interesting insights into the hadron structure.
This paper describes a new numerical QCD calculation method (direct minimization of QCD-QED-action) and its results for the first-generation (u, d) hadrons. Here we start with the standard color-Lagrangian LQCD = LDirac + Lgluon, model the quarks q<sub>i</sub> as parameterized gaussians, and the gluons Ag<sub>i</sub> as Ritz-Galerkin-series. We minimize the Lagrangian numerically with parameters par = (par (q), {α<sub>k</sub>}, par (Ag)) for first-generation hadrons (nucleons, pseudo-scalar mesons, vector mesons). The resulting parameters yield the correct masses and correct magnetic moments for the nucleons, the gluon-distribution and the quark-distribution with interesting insights into the hadron structure.
作者
Jan Helm
Jan Helm(Department of Electrical Engineering, Technical University Berlin, Berlin, Germany)
