Quarkonia in Hamiltonian Light-Front QCD

Martina M. Brisudová; Robert J. Perry; Kenneth G. Wilson

doi:10.1103/PhysRevLett.78.1227

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Quarkonia in Hamiltonian Light-Front QCD

Martina M. Brisudová, Robert J. Perry, and Kenneth G. Wilson

Department of Physics, The Ohio State University, Columbus, Ohio 43210

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Phys. Rev. Lett. 78, 1227 – Published 17 February, 1997

DOI: https://doi.org/10.1103/PhysRevLett.78.1227

Abstract

A constituent parton picture of hadrons with logarithmic confinement naturally arises in weak coupling light-front QCD. Confinement provides a mass gap that allows the constituent picture to emerge. The effective renormalized Hamiltonian is computed to $O (g^{2})$ , and used to study charmonium and bottomonium. Radial and angular excitations can be used to fix the coupling $α$ , the quark mass $M$ , and the cutoff $Λ$ . The resultant hyperfine structure is very close to experiment.

References (6)

K. G. Wilson et al., Phys. Rev. D 49, 6720 (1994); Report No. hep-th/9401153.
R. J. Perry, in Proceedings of Hadrons 94, V. Herscovitz and C. Vasconcellos (World Scientific, Singapore, 1995); Report No. hep-th/9407056.
M. Brisudova and R. Perry, Report No. hep-ph/9511443; Phys. Rev. D 54, 1831 (1996).
St. D. Głazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993) 49, 4214 (1994). Similar flow equations for Hamiltonians were proposed by F. Wegner, Ann. Phys. (Leipzig) 3, 77 (1994).
R. J. Perry and K. G. Wilson, Nuc. Phys. B403, 587 (1993) R. J. Perry, Ann. Phys. (N.Y.) 232, 116 (1994) Report No. hep-th/9402015. Similar ideas were previously developed by R. Oehme, K. Sibold, and W. Zimmerman, Phys. Lett. B 147, 115 (1984).
M. Brisudova and R. Perry, Report No. hep-ph/9605363; Phys. Rev. D 54, 6453 (1996).

[c1] K. G. Wilson et al., Phys. Rev. D 49, 6720 (1994); Report No. hep-th/9401153.

[c2] R. J. Perry, in Proceedings of Hadrons 94, V. Herscovitz and C. Vasconcellos (World Scientific, Singapore, 1995); Report No. hep-th/9407056.

[c3] M. Brisudova and R. Perry, Report No. hep-ph/9511443; Phys. Rev. D 54, 1831 (1996).

[c4] St. D. Głazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993) 49, 4214 (1994). Similar flow equations for Hamiltonians were proposed by F. Wegner, Ann. Phys. (Leipzig) 3, 77 (1994).

[c5] R. J. Perry and K. G. Wilson, Nuc. Phys. B403, 587 (1993) R. J. Perry, Ann. Phys. (N.Y.) 232, 116 (1994) Report No. hep-th/9402015. Similar ideas were previously developed by R. Oehme, K. Sibold, and W. Zimmerman, Phys. Lett. B 147, 115 (1984).

[c6] M. Brisudova and R. Perry, Report No. hep-ph/9605363; Phys. Rev. D 54, 6453 (1996).

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Quarkonia in Hamiltonian Light-Front QCD

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