Skip to Main Content

Access Provided by Xinjiang University

Physical Review D

Access by Xinjiang University

Higher Fock-state contributions to the generalized parton distribution of pion

Chueng-Ryong Ji¹, Yuriy Mishchenko^1,2, and Anatoly Radyushkin^2,3,*

¹Department of Physics, Box 8202, North Carolina State University, Raleigh, North Carolina 27695-8202, USA
²Theory Center, Jefferson Lab, Newport News, Virginia 23606, USA
³Physics Department, Old Dominion University, Norfolk, Virginia 23529, USA

^*Also at Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russian Federation.

Phys. Rev. D 73, 114013 – Published 12 June, 2006

DOI: https://doi.org/10.1103/PhysRevD.73.114013

Abstract

We discuss the higher Fock-state ( $q \bar{q} g$ ) contributions to the nonzero value of the pion generalized parton distribution (GPD) at the crossover point $x = ζ$ between the DGLAP and ERBL regions. Using the phenomenological light-front constituent quark model, we confirm that the higher Fock-state contributions indeed give a nonzero value of the GPD at the crossover point. Iterating the light-front quark model wave function of the lowest $q \bar{q}$ Fock state with the Bethe-Salpeter kernel corresponding to the one-gluon exchange, we include all possible time-ordered $q \bar{q} g$ Fock-state contributions and obtain the pion GPD satisfying necessary sum rules and continuity conditions.

Article Text

References (42)

X. D. Ji, Phys. Rev. Lett. 78, 610 (1997); Phys. Rev. D 55, 7114 (1997).
A. V. Radyushkin, Phys. Lett. B 380, 417 (1996); Phys. Rev. D 56, 5524 (1997).
D. Muller, D. Robaschik, B. Geyer, F. M. Dittes, and J. Horejsi, Fortschr. Phys. 42, 101 (1994).
X. D. Ji and J. Osborne, Phys. Rev. D 58, 094018 (1998).
J. C. Collins and A. Freund, Phys. Rev. D 59, 074009 (1999).
K. Goeke, M. V. Polyakov, and M. Vanderhaeghen, Prog. Part. Nucl. Phys. 47, 401 (2001).
M. Diehl, Phys. Rep. 388, 41 (2003).
A. V. Belitsky and A. V. Radyushkin, Phys. Rep. 418, 1 (2005).
V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972).
G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977).
Y. L. Dokshitzer, Sov. Phys. JETP 46, 641 (1977).
A. V. Efremov and A. V. Radyushkin, Theor. Math. Phys. (Engl. Transl.) 42, 97 (1980); Phys. Lett. B 94, 245 (1980).
G. P. Lepage and S. J. Brodsky, Phys. Lett. B 87, 359 (1979); Phys. Rev. D 22, 2157 (1980).
M. Diehl, T. Feldmann, R. Jakob, and P. Kroll, Eur. Phys. J. C 8, 409 (1999).
M. Diehl, T. Feldmann, R. Jakob, and P. Kroll, Nucl. Phys. B596, 33 (2001); B605, 647(E) (2001).
S. J. Brodsky, M. Diehl, and D. S. Hwang, Nucl. Phys. B596, 99 (2001).
M. Burkardt, Phys. Rev. D 62, 071503 (2000); 66, 119903(E) (2002).
B. C. Tiburzi and G. A. Miller, Phys. Rev. D 65, 074009 (2002); hep-ph/0205109.
H.-M. Choi, C.-R. Ji, and L. S. Kisslinger, Phys. Rev. D 64, 093006 (2001).
H.-M. Choi, C.-R. Ji, and L. S. Kisslinger, Phys. Rev. D 66, 053011 (2002).
H.-M. Choi and C.-R. Ji, Phys. Rev. D 59, 074015 (1999).
H.-M. Choi and C.-R. Ji, Phys. Rev. D 56, 6010 (1997).
L. S. Kisslinger, H.-M. Choi, and C.-R. Ji, Phys. Rev. D 63, 113005 (2001).
C.-R. Ji and H.-M. Choi, Phys. Lett. B 513, 330 (2001); hep-ph/0105248.
H.-M. Choi and C.-R. Ji, Phys. Lett. B 460, 461 (1999); Phys. Rev. D 59, 034001 (1999).
H.-M. Choi, C.-R. Ji, and L. S. Kisslinger, Phys. Rev. D 65, 074032 (2002).
T. Frederico, J. H. O. Sales, B. V. Carlson, and P. U. Sauer, Nucl. Phys. A737, 260 (2004).
A. N. Kvinikhidze and B. Blankleider, Phys. Rev. D 68, 025021 (2003).
A. Airapetian et al. (HERMES Collaboration), Phys. Rev. Lett. 87, 182001 (2001).
S. Stepanyan et al. (CLAS Collaboration), Phys. Rev. Lett. 87, 182002 (2001).
B. C. Tiburzi and G. A. Miller, Phys. Rev. D 67, 054014 (2003).
B. C. Tiburzi and G. A. Miller, Phys. Rev. D 67, 054015 (2003).
X. D. Ji, W. Melnitchouk, and X. Song, Phys. Rev. D 56, 5511 (1997).
A. V. Radyushkin, Phys. Lett. B 449, 81 (1999).
A. V. Radyushkin, Phys. Rev. D 59, 014030 (1999).
B. C. Tiburzi and G. A. Miller, Phys. Rev. D 67, 013010 (2003).
N. Kivel, V. Polyakov, and M. Vanderhaeghen, Phys. Rev. D 63, 114014 (2001).
A. Freund and M. McDermott, Eur. Phys. J. C 23, 651 (2002).
S. J. Brodsky, C.-R. Ji, and M. Sawicki, Phys. Rev. D 32, 1530 (1985).
J. H. O. Sales, T. Frederico, B. V. Carlson, and P. U. Sauer, Phys. Rev. C 61, 044003 (2000).
A. Mukherjee, I. V. Musatov, H. C. Pauli, and A. V. Radyushkin, Phys. Rev. D 67, 073014 (2003).
B. C. Tiburzi, W. Detmold, and G. A. Miller, Phys. Rev. D 68, 073002 (2003).