Gluballs in the String Quark Model

Abstract

We show that the eigenstates of the quantized simplest closed (elliptic) Nambu—Goto string interpreted as glueballs have the quantum numbers IGjPC=0+j++. The lightest glueballs have the spins j=0,1,2 and the same mass 1500±20 MeV, which corresponds to the f0(1500), f1(1510), and f2(1565) mesons. Excitation of higher Fourier modes leads to the glueball with j=0 and the mass 2200±30 MeV corresponding to the f0(2200) meson. The next glueballs have j=0,1,2,3,4 with the masses 2610±20 MeV. The slope of the glueball Regge trajectories is half the slope for the quark—antiquark mesons. The leading (Pomeron) glueball trajectory has the value 1.07±0.03 at zero transferred momentum.