dorsal/arxiv
View SchemaOn the complexion of pseudoscalar mesons
| Authors | A. Hoell, A. Krassnigg, C. D. Roberts, S. V. Wright |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411065 |
| URL | https://arxiv.org/abs/nucl-th/0411065 |
| DOI | 10.1142/S0217751X05023323 |
| Journal | Int.J.Mod.Phys.A20:1778-1784,2005 |
Abstract
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.
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"abstract": "A strongly momentum-dependent dressed-quark mass function is basic to QCD. It\nis central to the appearance of a constituent-quark mass-scale and an\nexistential prerequisite for Goldstone modes. Dyson-Schwinger equation (DSEs)\nstudies have long emphasised this importance, and have proved that QCD\u0027s\nGoldstone modes are the only pseudoscalar mesons to possess a nonzero leptonic\ndecay constant in the chiral limit when chiral symmetry is dynamically broken,\nwhile the decay constants of their radial excitations vanish. Such features are\nreadily illustrated using a rainbow-ladder truncation of the DSEs. In this\nconnection we find (in GeV): f_{eta_c(1S)}= 0.233, m_{eta_c(2S)}=3.42; and\nsupport for interpreting eta(1295), eta(1470) as the first radial excitations\nof eta(548), eta\u0027(958), respectively, and K(1460) as the first radial\nexcitation of the kaon. Moreover, such radial excitations have electromagnetic\ndiameters greater than 2fm. This exceeds the spatial length of lattices used\ntypically in contemporary lattice-QCD.",
"arxiv_id": "nucl-th/0411065",
"authors": [
"A. Hoell",
"A. Krassnigg",
"C. D. Roberts",
"S. V. Wright"
],
"categories": [
"nucl-th",
"hep-ex",
"hep-lat",
"hep-ph",
"nucl-ex"
],
"doi": "10.1142/S0217751X05023323",
"journal_ref": "Int.J.Mod.Phys.A20:1778-1784,2005",
"title": "On the complexion of pseudoscalar mesons",
"url": "https://arxiv.org/abs/nucl-th/0411065"
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