Eur. Phys. J. C (2008) 55: 409-415
https://doi.org/10.1140/epjc/s10052-008-0605-7

Regular Article - Theoretical Physics

Meson and tetra-quark mixing

¹ Department of Physics, North Carolina State University, Raleigh, NC, 27695-8202, USA
² Jefferson Laboratory, 12000 Jefferson Ave., Newport News, VA, 23606, USA
³ Bayer School of Natural and Environmental Sciences, Duquesne University, 600 Forbes Ave., Pittsburgh, PA, 15282, USA

^* e-mail: ijgeneral@gmail.com

Received: 31 January 2008
Revised: 29 March 2008
Published online: 7 May 2008

Abstract

The mixing between qq̄ meson and qq̄qq̄ tetra-quark states is examined within an effective QCD Coulomb gauge Hamiltonian model. Mixing matrix elements of the Hamiltonian are computed and then diagonalized yielding an improved prediction for the low-lying J^PC=0^±+,1^– isoscalar spectra. Mixing effects were found significant for the scalar hadrons but not for the 1^– states, which is consistent with the ideal mixing of vector mesons. A perturbative assessment of the exact QCD kernel is also reported.