Eur. Phys. J. A (2000) 8: 567-576
https://doi.org/10.1007/s100500070079

Scalar mesons in a chiral quark model with glueball

¹ Institut für Physik, Humboldt-Universität zu Berlin, Invalidenstrasse 110, D-10115, Berlin, Germany
² Institute of Physics, Slovak Academy of Sciences, 842 28, Bratislava, Slovakia
³ Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

^* e-mail: volkov@thsun1.jinr.ru

Received: 14 July 2000
Published online: 15 August 2000

Abstract

Ground-state scalar isoscalar mesons and a scalar glueball are described in a U(3) × U(3) chiral quark model of the Nambu-Jona-Lasinio (NJL) type with’ t Hooft interaction. The latter interaction produces singlet-octet mixing in the scalar and pseudoscalar sectors. The glueball is introduced into the effective meson Lagrangian as a dilaton on the base of scale invariance. The mixing of the glueball with scalar isoscalar quarkonia and amplitudes of their decays into two pseudoscalar mesons are shown to be proportional to current quark masses, vanishing in the chiral limit. Mass spectra of the scalar mesons and the glueball and their main modes of strong decay are described.