A MATHEMATICAL-MODEL OF HEAVY-QUARKONIA MESONIC DECAYS

Authors
ANTOINE JP EXNER P SEBA P SHABANI J
Citation
Jp. Antoine et al., A MATHEMATICAL-MODEL OF HEAVY-QUARKONIA MESONIC DECAYS, Annals of physics, 233(1), 1994, pp. 1-16
Citations number
60
Categorie Soggetti
Physics
Journal title
Annals of physics → ACNP
ISSN journal
00034916
Volume
233
Issue
1
Year of publication
1994
Pages
1 - 16
Database
ISI
SICI code
0003-4916(1994)233:1<1:AMOHMD>2.0.ZU;2-2
Abstract
A simple solvable mathematical model is proposed for the mesonic decay s of heavy quarkonia. It consists in coupling the bound quark channel and the free decaying meson channel through a contact interaction. The full Hamiltonian is obtained as a self-adjoint extension of the free Hamiltonian, specified by suitable boundary conditions. One obtains a Weisskopf-Van Royen-type formula for the decay width at the lowest ord er in the interaction strength. Finally the model is shown to remain s olvable if a Coulomb interaction is added in the quark channel. (C) 19 94 Academic Press, Inc.