Abstract
The meson mass spectra are obtained by solving exactly the two-body Dirac equation for the linear plus Coulomb potentials with complex spin-angular structure. In such a solvable model, the orbital excited heavy meson states as well as the orbital light meson states agree well with available experimental data. It turns out that the quark-antiquark interaction potential may be more intricate than those predicted so far.
Highlights
The meson spectrum and decay have been received a stimulated interest theoretically due to the increasing observations of the new meson states.[1,2,3] A common starting point in describing the relativistic two-body bound state problem is the B-S equation
Numerous truncation of the B-S equation have been proposed for relativistic two-body problem and applied with considerable success to the meson spectrum
The two-body Dirac equation (TBDE) of constraint dynamics has to be reduced to the relativistic Schodinger-like form and is solved by means of perturbative or numerical methods for the QCD ponteials such as the linear confining plus Coulomb potential.[10, 11]
Summary
The meson spectrum and decay have been received a stimulated interest theoretically due to the increasing observations of the new meson states.[1,2,3] A common starting point in describing the relativistic two-body bound state problem is the B-S equation. The TBDE in different formulations has been used to study the meson mass spectra for various confining potentials.[4,5,6,7,8,9] the TBDE of constraint dynamics has to be reduced to the relativistic Schodinger-like form and is solved by means of perturbative or numerical methods for the QCD ponteials such as the linear confining plus Coulomb potential.[10, 11] This is an Open Access article published by World Scientific Publishing Company. Such an approach is here extended to the orbital excited meson mass spectra of heavy mesons as well as light mesons
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More From: International Journal of Modern Physics: Conference Series
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