Abstract
We have formulated a relativistic two-body equation for quark-antiquark bound states using the expansion in intermediate states. We have used the asymptotically free QCD gluon exchange with either a scalar or equal vector and scalar linear potential. Using these we have fitted the upsilon, charmonium, D, F, s s , s -u, d and u, d quark mesons for the rho and above. We have also calculated relativistically their widths, singlet-triplet and P-state splittings.
Highlights
We have formulated a relativistictwo-body equation for quark-antiquark bound states using the expansion in intermediate states
We have formulated a relativistic two-body equation for quark-antiquark systems using the multiquantum intermediate state expansion of the field equations used by Greenberg [1], Gross [2], and Johnson [3]
A more detailed analysis will be published elsewhere [4]. We have applied this to quark-antiquark systems and have compared the results with the T, ~, B, F, and D families as well as lower mass mesons which are not affected by chiral symmetry breaking or large mixings
Summary
We have formulated a relativistictwo-body equation for quark-antiquark bound states using the expansion in intermediate states. We have used the asymptotically free QCD gluon exchange with either a scalar or equal vector and scalar linear potential. We have formulated a relativistic two-body equation for quark-antiquark systems using the multiquantum intermediate state expansion of the field equations used by Greenberg [1], Gross [2], and Johnson [3].
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