A mathematical model of heavy-quarkonia mesonic decays
(1994) Annals of Physics — Vol. 233, n° 1, p. 1-16 (1994)
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- Authors
Antoine, Jean-Pierre 
- Abstract
- (en) 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.
- Affiliations
Citations
Antoine, J.-P., Exner, P., Seba, P., & Shabani, J. (1994). A mathematical model of heavy-quarkonia mesonic decays. Annals of Physics, 233(1), 1-16. https://doi.org/10.1006/aphy.1994.1058 (Original work published 1994)