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

1995/12/07 by Hans–Christian Pauli, Hans-Christian Pauli, Pauli, Hans-Christian +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9512257

28 pages; 1 Latex file & 3 Postscript files; tarred, compressed and uuencoded with `uufiles'

arxiv created 1995/12/07 · arxiv updated 2009/11/30

Abstract

The 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(Q²), 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.

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• Quantum Electrodynamics at strong Couplings

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