Geodesic
Glueballs in the string quark model
Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 247-257

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We show that the eigenstates of the quantized simplest closed (elliptic) Nambu–Goto string interpreted as glueballs have the quantum numbers $I^Gj^{PC}=0^+j^{++}$. The lightest glueballs have the spins $j=0,1,2$ and the same mass $1500\pm20$MeV, which corresponds to the $f_0(1500)$, $f_1(1510)$, and $f_2(1565)$ mesons. Excitation of higher Fourier modes leads to the glueball with $j=0$ and the mass $2200\pm30$MeV corresponding to the $f_0(2200)$ meson. The next glueballs have $j=0,1,2,3,4$ with the masses $2610\pm20$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 $1.07\pm0.03$ at zero transferred momentum. 
@article{TMF_2001_126_2_a6,
     author = {L. D. Solov'ev},
     title = {Glueballs in the string quark model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {247--257},
     publisher = {mathdoc},
     volume = {126},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a6/}
}
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L. D. Solov'ev. Glueballs in the string quark model. Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 2, pp. 247-257. http://geodesic.mathdoc.fr/item/TMF_2001_126_2_a6/