Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2004-11-16
Int.J.Mod.Phys.A20:1778-1784,2005
Physics
Nuclear Physics
Nuclear Theory
7 pages, 2 figures. Contribution to the proceedings of the "10th International Symposium on Meson-Nucleon Physics and the Stru
Scientific paper
10.1142/S0217751X05023323
A strongly momentum-dependent dressed-quark mass function is basic to QCD. It is central to the appearance of a constituent-quark mass-scale and an existential prerequisite for Goldstone modes. Dyson-Schwinger equation (DSEs) studies have long emphasised this importance, and have proved that QCD's Goldstone modes are the only pseudoscalar mesons to possess a nonzero leptonic decay constant in the chiral limit when chiral symmetry is dynamically broken, while the decay constants of their radial excitations vanish. Such features are readily illustrated using a rainbow-ladder truncation of the DSEs. In this connection we find (in GeV): f_{eta_c(1S)}= 0.233, m_{eta_c(2S)}=3.42; and support for interpreting eta(1295), eta(1470) as the first radial excitations of eta(548), eta'(958), respectively, and K(1460) as the first radial excitation of the kaon. Moreover, such radial excitations have electromagnetic diameters greater than 2fm. This exceeds the spatial length of lattices used typically in contemporary lattice-QCD.
Hoell Arne
Krassnigg Andreas
Roberts Christopher D.
Wright Stewart V.
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