Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-08-21
Eur.Phys.J.A9:73-94,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
30 pages including 10 tables and 16 figures; submitted to Eur. Phys. J. A; misprints corrected
Scientific paper
10.1007/PL00013675
We present new results of a relativistic quark model based on the Bethe-Salpeter equation in its instantaneous approximation. Assuming a linearly rising confinement potential with an appropriate spinorial structure in Dirac space and adopting a residual interaction based on instanton effects, we can compute masses of the light mesons up to highest observed angular momenta with a natural solution of the $U_A(1)$ problem. The calculated ground states masses and the radial excitations describe the experimental results well. In this paper, we will also discuss our results concerning numerous meson decay properties. For processes like $\pi^+/K^+\to e^+\nu_e\gamma$ and $0^-\to\gamma\gamma$ at various photon virtualities, we find a good agreement with experimental data. We will also comment on the form factors of the $K_{\ell 3}$ decay and on the decay constants of the $\pi$, $K$ and $\eta$ mesons. For the sake of completeness, we will furthermore present the electromagnetic form factors of the charged $\pi$ and $K$ mesons as well as a comparison of the radiative meson decay widths with the most recent experimental data.
Koll Matthias
Merten Dirk
Metsch Bernard
Petry Herbert
Ricken Ralf
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