Abstract
An effective Coulomb gauge Hamiltonian, Heff, is used to calculate the light (uūg), strange (ss̄g) and charmed (cc̄g) hybrid meson spectra. For the same two parameter Heff providing glueball masses consistent with lattice results and a good description of the observed u,d,s and c quark mesons, a large-scale variational treatment predicts that the lightest hybrid has JPC=0++ and mass 2.1 GeV. The lightest exotic 1-+ state is just above 2.2 GeV, near the upper limit of lattice and flux tube predictions. These theoretical formulations all indicate that the observed 1-+ π1(1600) and, more clearly, π1(1400) are not hybrid states. The Coulomb gauge approach further predicts that in the strange and charmed sectors, respectively, the ground state hybrids have 1+- with masses 2.1 and 3.8 GeV, while the first exotic 1-+ states are at 2.4 and 4.0 GeV. Finally, using our hybrid wavefunctions and the Franck–Condon principle, a novel experimental signature is presented to assist heavy hybrid meson searches.
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References
D. Alde et al., Phys. Lett. B 205, 397 (1988)
E852 Collaboration, D.R. Thompson et al., Phys. Rev. Lett. 79, 1630 (1997)
E852 Collaboration, S.U. Chung et al., Phys. Rev. D 60, 092001 (1999)
E852 Collaboration, G.S. Adams et al., Phys. Rev. Lett. 81, 5760 (1998)
E852 Collaboration, S.U. Chung et al., Phys. Rev. D 65, 072001 (2002)
A.R. Dzierba et al., Phys. Rev. D 73, 072001 (2006)
VES Collaboration, D.V. Amelin et al., Phys. Lett. B 356, 595 (1995)
A. Zaitsev, AIP Conf. Proc. 432, 461 (1998)
A. Donnachie, Y.S. Kalashnikova, Phys. Rev. D 60, 114011 (1999)
Crystal Ball Collaboration, K. Karch et al., Z. Phys. C 54, 33 (1992)
Crystal Barrel Collaboration, J. Adomeit et al., Z. Phys. C 71, 227 (1996)
WA102 Collaboration, D. Barberis et al., Phys. Lett. B 413, 217 (1997)
Y.S. Kalashnikova, Nucl. Phys. A 689, 49 (2001)
F. Buisseret, V. Mathieu, arXiv:hep-ph/0607083
C. Bernard et al., Phys. Rev. D 56, 7039 (1997)
C. Bernard et al., Nucl. Phys. B Proc. Suppl. 73, 264 (1999)
P. Lacock, K. Schilling, Nucl. Phys. B Proc. Suppl. 73, 261 (1999)
J.N. Hedditch et al., Phys. Rev. D 72, 114507 (2005)
X.Q. Luo, Z.H. Mei, Nucl. Phys. B Proc. Suppl. 119, 263 (2003)
T. Barnes, F.E. Close, E.S. Swanson, Phys. Rev. D 52, 5242 (1995)
F.E. Close, P.R. Page, Nucl. Phys. B 443, 233 (1995)
K. Waidelich, Diploma Thesis, North Carolina State University (2001)
T. Barnes, Ph.D. Thesis, Caltech (1977)
T. Barnes, Nucl. Phys. B 158, 171 (1979)
T. Barnes, F. Close, Phys. Lett. B 116, 365 (1982)
M. Chanowitz, S. Sharpe, Nucl. Phys. B 222, 211 (1983)
T. Barnes et al., Nucl. Phys. B 224, 241 (1983)
M. Flensburg et al., Z. Phys. C 22, 293 (1984)
P. Hasenfratz et al., Phys. Lett. B 95, 299 (1980)
F. Iddir, L. Semlala, arXiv:hep-ph/0511086
Y. Liu, X.Q. Luo, Phys. Rev. D 73, 054510 (2006)
L.A. Griffiths, C. Michael, P.E.L. Rakow, Phys. Lett. B 129, 351 (1983)
S. Perantonis, C. Michael, Nucl. Phys. B 347, 854 (1990)
F.J. Llanes-Estrada, S.R. Cotanch, Nucl. Phys. A 697, 303 (2002)
F.J. Llanes-Estrada, S.R. Cotanch, A.P. Szczepaniak, E.S. Swanson, Phys. Rev. C 70, 035202 (2004)
F.J. Llanes-Estrada, P. Bicudo, S.R. Cotanch, Phys. Rev. Lett. 96, 081601 (2006)
F.J. Llanes-Estrada, S.R. Cotanch, Phys. Rev. Lett. 84, 1102 (2000)
G.S. Bali, K. Schilling, Phys. Rev. D 46, 2636 (1992)
J. Greensite, S. Olejnik, Phys. Rev. D 67, 094503 (2003) [arXiv:hep-lat/0302018]
D. Zwanziger, Phys. Rev. D 70, 094034 (2004) [arXiv:hep-ph/0312254]
K. Langfeld, L. Moyaerts, Phys. Rev. D 70, 074507 (2004) [arXiv:hep-lat/0406024]
E. Gubankova, C.R. Ji, S.R. Cotanch, Phys. Rev. D 62, 074001 (2000) [arXiv:hep-ph/0003289]
D.G. Robertson, E.S. Swanson, A.P. Szczepaniak, C.R. Ji, S.R. Cotanch, Phys. Rev. D 59, 074019 (1999)
F.J. Llanes-Estrada, S.R. Cotanch, Phys. Lett. B 504, 15 (2001)
T.D. Lee, Particle Physics and Introduction to Field Theory (Harwood Academic Publishers, New York, 1990)
D. Zwanziger, Nucl. Phys. B 485, 185 (1997) and private communication
A.P. Szczepaniak, E.S. Swanson, Phys. Rev. D 65, 0252012 (2002)
G.P. Lepage, J. Comput. Phys. 27, 192 (1978)
G.P. Lepage, Cornell University Report CLNS (1980) 80–447 (unpublished)
S. Eidelman et al., Phys. Lett. B 592, 1 (2004)
A.P. Szczepaniak, P. Krupinski, Phys. Rev. D 73, 116002 (2006)
Joan Soto, private communication at Brookhaven National Laboratory’s “International Heavy Quarkonium Workshop”, June 2006
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12.39.Mk; 12.39.Pn; 12.39.Ki; 12.40.Yx
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General, I., Llanes-Estrada, F. & Cotanch, S. Coulomb gauge approach to qq̄g hybrid mesons. Eur. Phys. J. C 51, 347–358 (2007). https://doi.org/10.1140/epjc/s10052-007-0298-3
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DOI: https://doi.org/10.1140/epjc/s10052-007-0298-3