Abstract.
We investigate the effect of Fermi motion on the direct fragmentation of the \(J/\psi\) and \(\Upsilon\) states employing a light-cone wave function. Consistent with such a wave function we set up the kinematics of a heavy quark fragmenting into quarkonia such that the Fermi motion of the constituents splits into a longitudinal as well as a transverse direction and thus calculate the fragmentation functions for these states. In the framework of our investigation, we estimate that the fragmentation probabilities of \(J/\psi\) and \(\Upsilon\) may increase at least up to 14 percent when including this degree of freedom.
Similar content being viewed by others
References
R. Baier, R. Rückl, Phys. Lett. B 102, 364 (1981); C.H. Chang, Nucl. Phys. B 172, 425 (1980); C.E. Carlson, R. Suaya, Phys. Rev. D 14, 3115 (1976); M.B. Einhorn, S.D. Ellis, Phys. Rev. D 12, 2007 (1975)
R. Baier, R. Rückl, Z. Phys. C 29, 251 (1983); E.L. Berger, D. Jones, Phys. Rev. D 23, 1521 (1981); S.D. Ellis, M. Einhorn, C. Quigg, Phys. Rev. Lett. 36, 1263 (1976)
G.T. Bodwin, E. Braaten, G.P. Lepage, Phys. Rev. D 51, 1125 (1995); E. Braaten, M.A. Doncheski, S. Fleming, M. Mangano, Phys. Lett. B 333, 548 (1994); G.T. Bodwin, E. Braaten, G.P. Lepage, Phys. Rev. D 46 (1992) R1914
E. Braaten, S. Fleming, T.C. Yuan, Ann. Rev. Nuc. Part. Sci. 46, 197 (1996)
P. Cho, A.K. Leibovich, Phys. Rev. D 53, 6203 (1996)
E. Braaten et al. , Phys. Rev. D 48, 5049 (1993); E. Braaten et al. , Phys. Rev. D 51, 4819 (1995); M.A. Gomshi Nobary, T. O’sati, Mod. Phys. Lett. A 15, 455 (2000)
G. Altarelli, G. Parisi, Phys. Lett. B 71, 298 (1977)
Leonid Frankfort, Werner Koeff, Phys. Rev. D 54, 3194 (1996); Leonid Frankfort, Werner Koeff, Mark Strikman, Phys. Rev. D 57, 512 (1998)
S.J. Brodsky, T. Huang, G.P. Lepage, in Particles and Fields, Proceedings of the Banff Summer Institute, Banff, Alberta, 1981, edited by A.Z. Capri, A.N. Kamal (Plenum, New York 1983), p. 143; Xin-heng Guo, Tao Huang, Phys. Rev. D 43, 2931 (1993); F. Schlumpf, Phys. Rev. D 50, 6895 (1994)
Xin-heng Guo, Tao Huang, Phys. Rev. D 43, 2931 (1991)
Tao Huang et al. , Phys. Rev. D 49, 1490 (1994)
See, e.g. Elementary Particle Theory Group, Acta Phys. Sin. 25, 415 (1976); N. Isgur, in New Aspects of Subnuclear Physics, edited by A. Zichichi (Plenum, New York 1980), p. 107
See for example E. Braaten et al. , in [6]
M. Suzuki, Phys. Rev. D 33, 676 (1986)
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: 11 May 2004, Revised: 23 April 2005, Published online: 31 May 2005
PACS:
13.87.Fh, 13.85.Ni, 12.38.Bx, 12.39.Hg
An erratum to this article is available at http://dx.doi.org/10.1140/epjc/s10052-006-0198-y.
Rights and permissions
About this article
Cite this article
Nobary, M.A.G., Javadi, B. Direct fragmentation of quarkonia including Fermi motionusing light-cone wave function. Eur. Phys. J. C 42, 37–42 (2005). https://doi.org/10.1140/epjc/s2005-02266-1
Issue Date:
DOI: https://doi.org/10.1140/epjc/s2005-02266-1