Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-06-30
Nucl.Phys.A625:697-712,1997
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, LaTeX, 4 figures, uses epsf.sty
Scientific paper
10.1016/S0375-9474(97)00412-0
In a Nambu-Jona-Lasinio model supplemented with an infrared cutoff in addition to the ultraviolet cutoff we study the issue whether diquarks are confined when the model is extended beyond the rainbow-ladder approximation. The gap equation, obtained in a truncation scheme motivated via a nontrivial quark-gluon vertex function, is solved to determine the constituent quark mass if chiral symmetry is spontaneously broken. In a second step, the Bethe-Salpeter equations for mesons and diquarks beyond ladder approximation are derived, taking care to preserve Goldstone's theorem in the pion channel. While the obtained masses of pseudoscalar and vector mesons are only moderately shifted compared to the values in ladder approximation, we observe that scalar diquarks disappear from the physical spectrum and therefore are confined. For axialvector diquarks we observe indications, that the same mechanism may also work, but the NJL model allows no conclusive answer in this channel.
Alkofer Reinhard
Hellstern G.
Reinhardt Hugo
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