Splitting of thePstates in heavy quarkonium systems and the nature of the spin-dependent potential | Zendy

Claudio Dib | Zendy; Frederick J. Gilman | Zendy; P. Franzini | Zendy

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Splitting of thePstates in heavy quarkonium systems and the nature of the spin-dependent potential

Author(s) -

Claudio Dib,

Frederick J. Gilman,

P. Franzini

Publication year - 1988

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.37.735

Subject(s) - quarkonium , physics , scalar (mathematics) , spin (aerodynamics) , lorentz transformation , muonium , particle physics , division (mathematics) , argument (complex analysis) , quantum electrodynamics , quantum mechanics , mathematical physics , elementary particle , hyperfine structure , thermodynamics , geometry , mathematics , arithmetic , biochemistry , chemistry

We consider the behavior of the splittings between the L = 1 states in heavy quarkonium systems. With standard assumptions, the ratio of mass splittings, A, = pf2 - M>/(W - MO), is shown to grow slowly as we go from the lowest P states to their radial excitations, a behavior which is in accord with other theoret- ical calculations and is consistent with experiment. This behavior is the opposite of what is expected from a naive argument which we present. We show why the naive argument fails, and how the phenomenological division of the potential into components which correspond to exchange of a Lorentz scalar and vector can be made so as to obtain other behaviors.

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