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Radial Spectra And Hadronic Decay Widths Of Light And Heavy Mesons
Authors: E. van Beveren, G. Rupp, T. A. Rijken and C. Dullemond
Ref.: Phys.Rev.D27:1527,1983 27, 1527-1543 (1983)
Abstract: A potential model for mesons is presented, which combines quark confinement and strong decay in a realistic approach. The multichannel Schroedinger formalism is employed to describe a system of one or more permanently closed quark-antiquark channels in interaction with several two-meson channels. For the potential in the q-qbar channels a harmonic oscillator with constant frequency is taken. As for the meson channels only Okubo-Zweig-Iizuka-rule-allowed decays into two mesons of the pseudoscalar or vector type are considered. Final-state interactions between these mesons are not yet taken into account. The communication between confined and free channels is supposed to take place via the 3P0 mechanism, for which a locally approximated transition potential is derived. In order to obtain an analytic solution for the S matrix, the transition potential is treated by using a multi-delta-shell method. Kinematically relativistic corrections and color splitting allow a fairly successful treatment of pseudoscalar as well as vector mesons for all quark flavors. The results are confronted with the data and discussed.
URL: prola.aps.org
