Scalar mesons and glueball in a quark model allowing for gluon anomalies |
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Authors: | MK Volkov VL Yudichev |
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Institution: | (1) Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia, RU |
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Abstract: | This paper is a sequel of a previous one (Scalar mesons in a chiral quark model with glueball, Eur. Phys. J. A 8, 567 (2000)) where an attempt to construct an effective U(3)×U(3)-symmetric meson Lagrangian with a scalar glueball was made. The glueball was introduced by using the dilaton model on
the base of scale invariance. The scale invariance breaking because of current quark masses and the scale anomaly of QCD,
reproduced by the dilaton potential, was taken into account. However, in the previous paper, the scale invariance breaking
because of the terms like h
φφ2 and h
σ
, where φ and are the pseudoscalar and scalar isosinglets, was not taken into account. These terms are produced by the part of the 't Hooft
interaction that is connected with gluon anomalies. Allowing for the scale invariance breaking by these terms has a decisive
effect on the quarkonium-glueball mixing and noticeably changes the widths of glueball strong decays. Taking account of this
additional source of the scale invariance breaking and its implications are the subject of the present work. It is also shown
that in the decay of a glueball into four pions, the channel with two ρ-resonances dominates.
Received: 11 January 2001 / Accepted: 25 January 2001 |
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Keywords: | PACS 12 39 Ki Relativistic quark model – 12 39 Mk Glueball and nonstandard multiquark/gluon states – 13 25 -k Hadronic decays of mesons – 14 40 -n Mesons |
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