Abstract
We show that linear Regge trajectories for mesons and glueballs, and the cubic mass spectrum associated with them, determine a relation between the masses of the ρ meson and the scalar glueball, \(M(0^{ + + } ) = 3/\sqrt 2 M(\rho )\), which implies \(M(0^{ + + } ) = 1650_ \pm 10\) MeV. We also discuss relations between the masses of the scalar, tensor and 3-- glueballs, \(M(2^{ + + } ) = \sqrt 2 M(0^{ + + } ),{\text{ }}M(3^{ - - } ) = 2M(0^{ + + } )\), which imply \(M(2^{ + + } ) = 2290_ \pm {\text{ }}15{\text{ MeV, }}M(3^{ - - } ) = 3240_ \pm {\text{ }}20\) MeV.
Similar content being viewed by others
REFERENCES
R. Landua, NewResults in Spectroscopy, plenary talk at the International Conferenceon High Energy Physics (ICHEP96), Warsaw, Poland (July 1996), and referencestherein.
G. S. Bali et al., Phys. Lett. B 309, 378 (1993).
J. Sexton, A. Vaccarino, and D. Weingarten, Phys. Rev. Lett.75, 4563 (1995).
C. J. Morningstar and M. Peardon, Phys. Rev. D 56, 4043 (1997).
R. M. Barnett et al., Phys. Rev. D 54, 1 (1996).
M. Teper, Phys. Lett. B 289, 115 (1992); Nucl. Phys. B (Proc. Suppl.) 30, 529 (1993).
C. J. Hamer, M. Sheppeard, Zheng Weihong, and D. Schütte, Phys. Rev. D 54, 2395 (1996).
X.-Q. Luo and Q.-Z. Chen, Mod. Phys. Lett. A 11, 2435 (1996).
S. Samuel, Phys. Rev. D 55, 4189 (1997).
J. S. Kangand H. Schnitzer, Phys. Rev. D 12, 841 (1975).
J.-L. Basdevant and S. Boukraa, Z. Phys. C 28, 413 (1985); Ann. Phys. (Paris) 10, 475 (1985).
G. B. West, Nucl. Phys. B (Proc. Suppl.) 54, 353 (1997).
S. Z. Belenkyand L. D. Landau, Sov. Phys. Uspekhi 56, 309 (1955); Suppl. Nuovo Cimento 3, 15 (1956).
E. V. Shuryak, Sov. J. Nucl. Phys. 16, 220 (1973); L. Burakovsky and L. P. Horwitz, Nucl. Phys. A 614, 373 (1997).
H. Bebie, P. Gerber, J. L. Goity, and H. Leutwyler, Nucl. Phys. B 378, 95 (1992).
L. Burakovskyand L. P. Horwitz, Nucl. Phys. A 609, 585 (1996).
P. Gerber and H. Leutwyler, Nucl. Phys. B 321, 387 (1989).
E. V. Shuryak, Phys. Rev. D 42, 1764 (1990).
R. D. Pisarski and M. Tytgat, Phys. Rev. D 54, 2989 (1996); Phys. Rev. Lett. 78, 3622 (1997); On the Physics of a Cool Pion Gas, hep-ph/9609414.
C. Lovelace,Phys. Lett. B 28, 264 (1968); J. A. Shapiro, Phys. Rev. 179, 1345 (1969).
L. A. P. Balazs, Phys. Rev. D 29, 533 (1984).
X. Artru, Nucl. Phys. B 85, 442 (1975); Phys. Rep. 97, 147 (1983).
Yu. A. Simonov, Phys. Lett. B 249, 514 (1990).
G. B. West, Phys. Rev. Lett. 77, 2622 (1996).
S. Dubnickaand L. Martinovic, J. Phys. G 15, 1349 (1989); A. Bernicha, G. Lopez Castro, and J. Pestieau, Phys. Rev. D 50, 4454 (1994).
L. Capraro et al., Nucl. Phys. B 288, 659 (1987); M. Aguilar-Benitez et al., Z. Phys. C 50, 405 (1991).
C. Michael, Hadronic Physics from the Lattice, hep-ph/9710249; Hadron Spectroscopy from the Lattice, hep-ph/9710502.
L. Burakovsky, Found. Phys. 28, 1577 (1998).
L. Burakovsky and L. P. Horwitz, Found. Phys. Lett. 9, 561 (1996); 10, 61 (1997).
M. Peardon, Nucl. Phys. B (Proc. Suppl.) 63, 22 (1998).
J. M. Cornwall and A. Soni, Phys. Lett. B 120, 431 (1983).
W. S. Hou and A. Soni, Phys. Rev. Lett. 50, 569 (1983); Phys. Rev. D 29, 101 (1984).
S. Narison,Masses, Decays and Mixings of Gluonia in QCD, hep-ph/9612457, hep-ph/9710281, and references therein.
Rights and permissions
About this article
Cite this article
Burakovsky, L. Glueball Spectroscopy in Regge Phenomenology. Foundations of Physics 28, 1595–1605 (1998). https://doi.org/10.1023/A:1018842519801
Issue Date:
DOI: https://doi.org/10.1023/A:1018842519801