Abstract
Author(s): Bander, M; Silverman, D; Klima, B; Maor, U | Abstract: A fully relativistic bound-state equation is used to study the spectra (and leptonic widths) of charmonium, b-quarkonium, D mesons, F mesons, B mesons, and mesons composed of light quarks. The short-distance behavior of the interaction is that of asymptotically free QCD, while the largedistance interaction is a linear confining one whose Lorentz nature is either pure scalar or an equal mixture of vector and scalar. Multiquark states are accounted for in an approximate manner. An interesting dependence of the quark masses on the Lorentz nature of the long-distance interaction and on the overall mass scale of the system is obtained. © 1984 The American Physical Society.
Highlights
The short-distance behavior of the interaction is that of asymptotically free @CD, while the largedistance interaction is a linear confining one whose Lorentz nature is either pure scalar or an equal mixture of vector and scalar
In the study of quark-antiquark systems it has come to be recognized that even in the case of charmonium there is a need for a relativistic treatment beyond the v /c terms of the Darwin-Breit Hamiltonian which give the spinorbit and spin-spin couplings
The resulting equation, after partial-wave analysis, is a single-variable integral equation in the one off-shell momentum as opposed to the Bethe-Salpeter equation which is a double-variable integral equation in both offmass-shell momenta. We apply this equation to quark-antiquark systems using a vector exchange at short distances with asymptoticfreedom effects included and a combination of scalar and vector exchanges which are the linear confining potentials effective at large distances
Summary
Boaz Klima and Uri Maor Department of Physics and Astronomy, Tel Aviv University, Ramat Avi-v, 69 978 Tel Aviv, -Israel (Received 28 April 1983). A fully relativistic bound-state equation is used to study the spectra (and leptonic widths) of char-. 8 monium, b-quarkonium, D mesons, I" mesons, mesons, and mesons composed of light quarks. The short-distance behavior of the interaction is that of asymptotically free @CD, while the largedistance interaction is a linear confining one whose Lorentz nature is either pure scalar or an equal mixture of vector and scalar. Multiquark states are accounted for in an approximate manner. An interesting dependence of the quark masses on the Lorentz nature of the long-distance interaction and on the overall mass scale of the system is obtained
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