Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-03-21
Physics
High Energy Physics
High Energy Physics - Phenomenology
40 pages, 5 figures (version published in PRD)
Scientific paper
Lattice measurements of spatial distributions of the light quark bilinear densities in static mesons allow to test directly and in detail the wave functions of quark models. These distributions are gauge invariant quantities directly related to the spatial distribution of wave functions. We make a detailed comparison of the recent lattice QCD results with our own quark models, formulated previously for quite different purposes. We find a striking agreement not only between our two quark models, but also with the lattice QCD data for the ground state in an important range of distances up to about 4/GeV. Moreover the agreement extends to the L=1 states [j^P=(1/2)^+]. An explanation of several particular features completely at odds with the non-relativistic approximation is provided. A rather direct, somewhat unexpected and of course approximate relation between wave functions of certain quark models and QCD has been established.
Becirevic Damir
Chang Emmanuel
Luis Oliver Alain Le Yaouanc
Raynal Jean-Claude
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