Abstract
We present a unified formalism for the analysis of mesons. It is provided by a symmetry preserving Schwinger-Dyson-Bethe-Salpeter-Equation (SDBSE) treatment of a vector-vector contact interaction. The contact interaction (CI) model offers a simple-to-implement alternative to perform exploratory studies of QCD, within the SDBSE framework. Within the limitation of this model, we calculate the spectrum of D and B mesons. Our results are in agreement within 2% when compare with experimental data, lattice QCD and other SDBSE calculations involving sophisticated interaction kernels.
Highlights
The Schwinger-Dyson-Bethe-Salpeter Equation (SDBSE) approach has proven to be a reliable instrument to explain a wide range of QCD phenomena [1,2,3]
We present plots and tables comparing our results on D and B mesons, We compare with experimental data and other models results
We calculated the spectrum of D and B mesons
Summary
The Schwinger-Dyson-Bethe-Salpeter Equation (SDBSE) approach has proven to be a reliable instrument to explain a wide range of QCD phenomena [1,2,3]. The CI model appeared as an alternative to full QCD studies. In this model, quarks interact not via mass-less vector-boson exchanges, but instead through a symmetry preserving vector-vector contact interaction [10,11,12,13,14]. Quarks interact not via mass-less vector-boson exchanges, but instead through a symmetry preserving vector-vector contact interaction [10,11,12,13,14] This interaction is embedded within the SDBSE approach in the rainbow-ladder approximation, implement confinement through a proper time regularization scheme. A fully consistent treatment of the CI model is simple to execute, and it produces useful results that can be compared and contrasted with full QCD calculations and experimental data
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