On the Masses of the Physical Mesons: Solving the Effective QCD--Hamiltonian by DLCQ

dc.creatorPauli, Hans-Christian
dc.creatorMerkel, J"org
dc.date1995-12-07
dc.date.accessioned2026-07-07T03:58:38Z
dc.date.available2026-07-07T03:58:38Z
dc.descriptionThe effective QCD-interaction as obtained from the front form Hamiltonian by DLCQ is Fourier transformed on the Retarded Schrödinger Equation for to describe the constituents of physical mesons. The crucial point is the use of a running coupling constant $α_s(Q^2)$, in a manner similar but not equal to the one of Richardson in the equal usual-time quantization. Fixing the running coupling constant at the Z mass, the only parameters are the flavor masses. Without the top quark one needs thus 5 parameters to calculate the physical masses of 30 pseudoscalar and vector mesons, consistently within the same model. Applying variational methods to a caricature of the model, the biggest technical challenge is the solution of a cubic algebraic equation. -- In view of an oversimplified model and a very simple technology, the agreement with the empirical data is much too good.
dc.description28 pages; 1 Latex file & 3 Postscript files; tarred, compressed and uuencoded with `uufiles'
dc.identifierhttps://arxiv.org/abs/hep-ph/9512257
dc.identifierhttp://arxiv.org/abs/hep-ph/9512257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/45891
dc.subjectHigh Energy Physics - Phenomenology
dc.titleOn the Masses of the Physical Mesons: Solving the Effective QCD--Hamiltonian by DLCQ
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