Abstract
We show that C -odd gluelumps can be successfully described as bound states of a single transverse constituent gluon evolving in the flux-tube-like potential generated by a static color-octet source. The use of a helicity degree of freedom rather than a spin one for the constituent gluon forbids the states that are not observed in lattice QCD. Our model leads to a gluelump mass spectrum in remarkable agreement with the available lattice data provided that an additional parity splitting mass term is introduced. We argue that such a term is due to instanton-induced interactions in gluelumps.
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M. Foster, C. Michael, Phys. Rev. D 59, 094509 (1999) [hep-lat/9811010].
G.S. Bali, A. Pineda, Phys. Rev. D 69, 094001 (2004) [hep-ph/0310130].
K.J. Juge, J. Kuti, C.J. Morningstar, Nucl. Phys. Proc. Suppl. 63, 326 (1998) [hep-lat/9709131]
N. Brambilla, A. Pineda, J. Soto, A. Vairo, Nucl. Phys. B 566, 275 (2000) [hep-ph/9907240].
G. Karl, J.E. Paton, Phys. Rev. D 60, 034015 (1999) [hep-ph/9904407].
P. Guo, Phys. Rev. D 77, 056005 (2008) [arXiv:0707.3156].
Yu.A. Simonov, Nucl. Phys. B 592, 350 (2001) [hep-ph/0003114].
E. Abreu, P. Bicudo, J. Phys. G 34, 195207 (2007) [hep-ph/0508281]
A. Szczepaniak, E.S. Swanson, C.R. Ji, S.R. Cotanch, Phys. Rev. Lett. 76, 2011 (1996) [hep-ph/9511422]
F.J. Llanes-Estrada, S.R. Cotanch, Phys. Lett. B 504, 15 (2001) [hep-ph/0008337].
I.J. General, S.R. Cotanch, F.J. Llanes-Estrada, Eur. Phys. J. C 51, 347 (2007) [hep-ph/0609115].
N. Boulanger, F. Buisseret, V. Mathieu, C. Semay, to be published in Eur. Phys. J. A [arXiv:0806.3174].
V. Mathieu, F. Buisseret, C. Semay, Phys. Rev. D 77, 114022 (2008) [arXiv:0802.0088].
M. Jacob, G.C. Wick, Ann. Phys. 7, 404 (1959).
G.C. Wick, Ann. Phys. 18, 65 (1962).
V. Mathieu, F. Buisseret, J. Phys. G 35, 025006 (2008) [hep-ph/0702226].
C. Semay, D. Baye, M. Hesse, B. Silvestre-Brac, Phys. Rev. E 64, 016703 (2001).
F. Buisseret, Phys. Rev. C 76, 025206 (2007) [arXiv:0705.0916].
A.C. Aguilar, A. Mihara, A.A. Natale, Phys. Rev. D 65, 054011 (2002) [hep-ph/0109223].
T. Schäfer, E.V. Shuryak, Phys. Rev. Lett. 75, 1707 (1995) [hep-ph/9410372]
N. Kochelev, D.P. Min, Phys. Rev. D 72, 097502 (2005) [hep-ph/0510016].
N. Kochelev, D.P. Min, Phys. Lett. B 633, 283 (2006) [hep-ph/0508288].
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Buisseret, F. Gluelump model with transverse constituent gluons. Eur. Phys. J. A 38, 233–238 (2008). https://doi.org/10.1140/epja/i2008-10663-9
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DOI: https://doi.org/10.1140/epja/i2008-10663-9