A mathematical model of heavy-Quarkonia mesonic decays
Journal Article
·
· Annals of Physics (New York); (United States)
- Universite Catholique de Louvain, Louvain-la-Neuve (Belgium)
- Nuclear Physics Institute, Prague (Czechoslovakia)
- Unveriste du Burundi, Bujumbura (Burundi)
A simple solvable mathematical model is proposed for the mesonic decays 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 order in the interaction strength. Finally the model is shown to remain solvable if a Coulomb interaction is added in the quark channel. 53 refs.
- OSTI ID:
- 6403759
- Journal Information:
- Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 233:1; ISSN APNYA6; ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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