Abstract
Bander, Silverman, Klima, and Maor recently developed a relativistic formalism for quark-antiquark bound states. It was used to calculate the spectra and leptonic decay widths of charmonium, b-quarkonium, D mesons, F mesons, B mesons, and mesons composed of light quarks. The form of the interactions between quark and antiquark was highly motivated by QCD. We extend this relativistic treatment to a relativistic formulation of radiative decays that automatically takes into account the effects of recoil, uses boosted final-state meson wave functions, includes relativistic bound-state wave functions involving relativistic mixtures of terms, and treats the valence quarks as four-component spinors. We then calculate radiative transition rates of the charmonium and b-quarkonium systems in this formalism and find that transitions which can be compared with experiment are in good agreement. Predictions are also made for decays that are not yet measured.
Highlights
In this paper, we extend a relativistic formalism' with QCD interactions for quark-antiquark systems previously used for spectra' to calculate relativistically the radiative decay rate of such systems
The form of the interactions between quark and antiquark was highly motivated by QCD. We extend this relativistic treatment to a relativistic formulation of radiative decays that automatically takes into account the effects of recoil, uses boosted final-state meson wave functions, includes relativistic bound-state wave functions involving relativistic mixtures of terms, and treats the valence quarks as four-component spinors
We calculate radiative transition rates of the charmonium and b-quarkonium systems in this formalism and find that transitions which can be compared with experiment are in good agreement
Summary
Relativistic formulation of the radiative transitions of charmonium and b-quarkonium. Silverman, Klima, and Maor recently developed a relativistic formalism for quarkantiquark bound states. The form of the interactions between quark and antiquark was highly motivated by QCD. We extend this relativistic treatment to a relativistic formulation of radiative decays that automatically takes into account the effects of recoil, uses boosted final-state meson wave functions, includes relativistic bound-state wave functions involving relativistic mixtures of terms, and treats the valence quarks as four-component spinors. We calculate radiative transition rates of the charmonium and b-quarkonium systems in this formalism and find that transitions which can be compared with experiment are in good agreement. Predictions are made for decays that are not yet measured
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