2000/07/31 by K. A. Ter-Martirosyan, Ter-Martirosyan, K. A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0007361
11 pages, 7 figures
arxiv created 2000/07/31 · arxiv updated 2009/11/30
The colored objects -- quarks and gluons -- being confined in a small volume V∼ R03, R0∼ 0.5fm inside the QCD bound state get there not small masses mq q∼ 1GeV, mg∼ 0.5GeV. This drastically simplifies the QCD dynamics, as now the probabilities e.g. of production of one extra massive valent gluon or extra q q pair, turned to be small due to a large gap between corresponding energy levels. The ordinary quantum mechanical perturbation theory calculations made in the paper shows that corresponding dimensionless transition amplitudes ΛMH=\fracVMH|E(0)M-E(0)H| (from meson q q to the hybrid q qg) have a value of 20--25% and the mixing of hybrid with glueball (gg) is even smaller (of the order of 10--18%). Taking into account all such mixings with all highly lying Fock states is equivalent to the exact solution of QCD bound state problem. This can be done really summing the small perturbation theory results for these states contributions.