Abstract
Within a statistical model of linear confined quarks we obtain the flavor asymmetry and corresponding structure function of the nucleon. The model parameters are fixed by the experimental available data. The temperature parameter is adjusted by the Gottfried sum rule violation and the chemical potentials by the corresponding up (u) and down (d) quark normalizations in the nucleon. The light antiquark and quark distributions in the proton, given by d̄/ū, d/u and d̄-ū, as well as the neutron to proton ratio of the structure functions, extracted from the experimental data, are well fitted by the model. As the quark-confining strengths should be flavor dependent, a mechanism is introduced in the model to adjust the corresponding distribution, in order to improve the comparison obtained for the sea-quark asymmetries in the nucleon with the available experimental analysis.
Similar content being viewed by others
References
J.C. Peng et al., Phys. Rev. D 58, 092004 (1998)
E.A. Hawker et al., Phys. Rev. Lett. 80, 3715 (1998)
K. Gottfried, Phys. Rev. Lett. 18, 1174 (1967)
F. Carvalho, F.O. Durães, F.S. Navarra, M. Nielsen, Phys. Rev. D 60, 094015 (1999)
M. Alberg, E.M. Henley, Nucl. Phys. A 663, 301 (2000)
E.J. Eichten, I. Innchliffe, C. Quigg, Phys. Rev. D 45, 2269 (1992)
E.M. Henley, G.A. Miller, Phys. Lett. B 251, 453 (1990)
S. Kumano, Phys. Rev. D 43, 59 (1991)
S. Kumano, Phys. Rev. D 43, 3067 (1991)
A.I. Signal, A.W. Schreiber, A.W. Thomas, Mod. Phys. Lett. A 6, 271 (1991)
H. Holtmann, A. Szczurek, J. Speth, Nucl. Phys. A 569, 631 (1996)
S. Kumano, Phys. Rep. 303, 183 (1998)
G.T. Garvey, J.-C. Peng, Prog. Part. Nucl. Phys. 47, 203 (2001)
R.D. Field, R.P. Feynman, Phys. Rev. D 15, 2590 (1977)
C. Bourrely, F. Buccella, J. Soffer, Eur. Phys. J. C 23, 487 (2002)
C. Bourrely, F. Buccella, J. Soffer, Eur. Phys. J. C 41, 327 (2005)
J. Cleymans, R.L. Thews, Z. Phys. C 37, 315 (1988)
E. Mac, E. Ugaz, Z. Phys. C 43, 655 (1989)
L.A. Trevisan, T. Frederico, L. Tomio, Eur. Phys. J. C 11, 351 (1999)
L.W. Whitlow et al., Phys. Lett. B 282, 475 (1992)
L.L. Frankfurt, M.I. Strikman, Phys. Rep. 160, 235 (1988)
S. Liuti, F. Gross, Phys. Lett. B 356, 157 (1995)
W. Melnitchouk, A.W. Thomas, Phys. Lett. B 377, 11 (1996)
European Muon Collaboration, J.J. Aubert et al., Nucl. Phys. B 293, 740 (1987)
W. Melnitchouk, J. Speth, A.W. Thomas, Phys. Lett. B 435, 420 (1998)
P. Souder, in: Proceedings of the workshop on CEBAF at Higher Energies CEBAF, Newport News, 1994
R. Michaels, in: Physics and Instrumentation with 6–12 GeV Beams, Jefferson Lab, p. 347 (1998)
I.R. Afnan et al., Phys. Rev. C 68, 035201 (2003)
R.P. Feynman, Photon Hadron Interactions (Benjamin, Reading, Massachusetts, 1972)
F.E. Close, A.W. Thomas, Phys. Lett. B 212, 227 (1988)
W. Melnitchouk, Phys. Rev. Lett. 86, 35 (2001)
L.A. Trevisan, L. Tomio, Nucl. Phys. A 689, 485c (2001)
E. Eichten, I. Hinchliffe, K. Lane, C. Quigg, Rev. Mod. Phys. 56, 579 (1984)
M. Diemoz et al., Z. Phys. C 39, 21 (1988)
A.D. Martin, R. Roberts, W.J. Stirling, Phys. Rev. D 50, 6734 (1994)
CTEQ Collaboration, H.L. Lai et al., Phys. Rev. D 51, 4763 (1995)
G.R. Farrar, D.R. Jackson, Phys. Rev. Lett. 35, 1416 (1975)
S.J. Brodsky, M. Burkardt, I. Schmidt, Nucl. Phys. B 441, 197 (1995)
J. Gomez et al., Phys. Rev. D 49, 4348 (1994)
H. Abramowicz et al., Z. Phys. C 25, 29 (1983)
P.L. Ferreira, J.A. Helayel, N. Zagury, Nuovo Cim. A 55, 215 (1980)
A.I. Signal, A.W. Thomas, Phys. Rev. D 40, 2832 (1989)
H. Weigel, Phys. Rev. D 55, 6910 (1997)
M. Wakamatsu, Phys. Rev. D 67, 034005 (2003)
H. Dahiya, M. Gupta, Eur. Phys. J. C 52, 571 (2007)
J. Alwall, G. Ingelman, Phys. Rev. D 71, 094015 (2005)
P. Amaudruz et al., Phys. Rev. Lett. 66, 2712 (1991)
M. Arneodo et al., Phys. Rev. D 50, R1 (1994)
F. Olness et al., Eur. Phys. J. C 40, 145 (2005)
C. Bourrely, J. Soffer, F. Buccella, Phys. Lett. B 648, 39 (2007)
R.G. Roberts, The Structure of the Proton – Deep Inelastic Scattering (Cambridge University Press, Cambridge, 1990)
A.O. Bazarko et al., Z. Phys. C 65, 189 (1995)
A.E. Dorokhov, N.I. Kochelev, Y.A. Zubov, Sov. J. Part. Nucl. 23, 522 (1992)
F. Halzen, A.D. Martin, Quarks and Leptons – An Introductory Course in Modern Particle Physics (Wiley, New York, 1984), p. 215
G. Altarelli, G. Parisi, Nucl. Phys. B 126, 298 (1977)
H.R. Christiansen, J. Magnin, Phys. Lett. B 445, 8 (1998)
J. Magnin, H.R. Christiansen, Phys. Rev. D 61, 054006 (2000)
T. Frederico, G. Miller, Phys. Rev. D 50, 210 (1994)
M. Glück, E. Reya, I. Schiebein, Eur. Phys. J. C 10, 313 (1999)
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS
11.30.Hv; 14.20.Dh; 12.39.Ki; 12.40.Ee; 11.55.Hx
Rights and permissions
About this article
Cite this article
Trevisan, L., Mirez, C., Frederico, T. et al. Quark sea structure functions of the nucleon in a statistical model. Eur. Phys. J. C 56, 221–229 (2008). https://doi.org/10.1140/epjc/s10052-008-0651-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-008-0651-1