Abstract.
Assuming that the Casimir scaling hypothesis is well verified in QCD, masses of glueballs and hybrid gluelumps (gluon attached to a point-like c¯ pair) are computed within the framework of the rotating string formalism. In our model, two gluons are attached by an adjoint string in a glueball, while the gluon and the colour octet c¯ pair are attached by two fundamental strings in a hybrid gluelump. Masses for such exotic hadrons are computed with very few free parameters. These predictions can serve as a guide for experimental searches. In particular, the ground-state glueballs lie on a Regge trajectory and the lightest 2++ state has a mass compatible with some experimental candidates.
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S. Deldar, Phys. Rev. D 62, 034509 (2000) (hep-lat/9911008).
G.S. Bali, Phys. Rev. D 62, 114503 (2000) (hep-lat/0006022).
T.H. Hanson, Phys. Lett. B 166, 343 (1986).
C. Semay, Eur. Phys. J. A 22, 353 (2004) (hep-ph/0409105).
J.M. Cornwall, A. Soni, Phys. Lett. B 120, 431 (1983).
A. Szczepaniak, E.S. Swanson, C.-R. Ji, S.R. Cotanch, Phys. Rev. Lett. 76, 2011 (1996) (hep-ph/9511422).
C.J. Morningstar, M. Peardon, Phys. Rev. D 60, 034509 (1999).
F. Brau, C. Semay, Phys. Rev. D 70, 014017 (2004) (hep-ph/0412173).
B.S. Zou, Nucl. Phys. A 655, c41 (1999).
D.V. Bugg, M. Peardon, B.S. Zou, Phys. Lett. B 486, 49 (2000).
Yu.A. Simonov, Nucl. Phys. B 592, 350 (2001) (hep-ph/0003114).
N. Brambilla, A. Pineda, J. Soto, A. Vairo, Rev. Mod. Phys. 77, 1423 (2005) (hep-ph/0410047).
E. Abreu, P. Bicudo, hep-ph/0508281.
A.Yu. Dubin, A.B. Kaidalov, Yu.A. Simonov, Phys. At. Nucl. 56, 1745 (1993) (Yad. Fiz. 56, 213 (1993)) (hep-ph/9311344).
E.L. Gubankova, A.Yu. Dubin, Phys. Lett. B 334, 180 (1994) (hep-ph/9408278).
V.L. Morgunov, A.V. Nefediev, Yu.A. Simonov, Phys. Lett. B 459, 653 (1999) (hep-ph/9906318).
D. LaCourse, M.G. Olsson, Phys. Rev. D 39, 2751 (1989).
T.J. Allen, M.G. Olsson, Phys. Rev. D 68, 054022 (2003) (hep-ph/0306128).
C. Semay, B. Silvestre-Brac, I.M. Narodetskii, Phys. Rev. D 69, 014003 (2004) (hep-ph/0309256).
F. Buisseret, C. Semay, Phys. Rev. D 70, 077501 (2004) (hep-ph/0406216).
F. Buisseret, C. Semay, Phys. Rev. E 71, 026705 (2005) (hep-ph/0409033).
A.M. Badalian, B.L.G. Bakker, Phys. Rev. D 66, 034025 (2002) (hep-ph/0202246).
F. Buisseret, C. Semay, Phys. Rev. D 71, 034019 (2005) (hep-ph/0412361).
C. Semay, D. Baye, M. Hesse, B. Silvestre-Brac, Phys. Rev. E 64, 016703 (2001).
Yu.A. Simonov, Phys. Lett. B 515, 137 (2001) (hep-ph/0105141).
A. Di Giacomo, H. Panagopoulos, Phys. Lett. B 285, 133 (1992).
A. Di Giacomo, Yu.A. Simonov, Phys. Lett. B 595, 368 (2004) (hep-ph/0404044).
A.B. Kaidalov, Yu.A. Simonov, Phys. At. Nucl. 63, 1428 (2000) (Yad. Fiz. 63, 1428 (2000)) (hep-ph/9911291).
Yu.A. Simonov, hep-ph/0501182.
W.H. Blask , Z. Phys. A 337, 327 (1990).
F. Brau, C. Semay, Phys. Rev. D 58, 034015 (1998).
W. Lucha, F.F. Schöberl, Phys. Rev. Lett. 64, 2733 (1990).
Particle Data Group, S. Eidelman et al., Phys. Lett. B 592, 1 (2004).
A. Donnachie, P.V. Landshoff, Phys. Lett. B 437, 408 (1998) (hep-ph/9806344).
B. Silvestre-Brac, C. Semay, I.M. Narodetskii, A.I. Veselov, Eur. Phys. J. C 32, 385 (2004) (hep-ph/0309247).
F.J. Llanes-Estrada, S.R. Cotanch, Phys. Lett. B 504, 15 (2001) (hep-ph/0008337).
M. Foster, C. Michael, Phys. Rev. D 59, 094509 (1999) (hep-lat/9811010).
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Mathieu, V., Semay, C. & Brau, F. Casimir scaling, glueballs, and hybrid gluelumps. Eur. Phys. J. A 27, 225–230 (2006). https://doi.org/10.1140/epja/i2005-10251-7
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DOI: https://doi.org/10.1140/epja/i2005-10251-7