Regular and Hybrid Mesons in a Non-RelativisticConstituent Quark Model.

Abstract

We investigate q-qbar and q-qbar-g mesons with regularand exotic quantum numbers in a non-relativisticconstituent quark model. Simple harmonic oscillator statesare used as radial wave functions, which allows for analyticmatrix elements. Employing a diagonalization withvariational approach, the resulting generalizedeigenvalue problem is solved for the meson bound states.With a minimal number of parameters, we are able to describe the non-exotic meson spectrum within a few percent.Predictions are also made for the masses of hybrid mesons,with the lowest lying 1-+ u-ubar-g mass of 1.26 MeV.