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Pion Structure Function and violation of the Momentum Sum Rule
Lansberg, Jean-Philippe; Bissey, F.; Cudell, Jean-René et al.
2003In Blin, A. H.; Hiller, B.; Ruivo, M. C. et al. (Eds.) Hadron Physics: Effective Theories of Low Energy QCD N°2
 

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Keywords :
pon structure function; QCD sum rules
Abstract :
[en] We present a method to evaluate the pion structure functions from a box diagram calculation. Pion and constituent quark fields are coupled through the simplest pseudoscalar coupling. The gamma^* pi -> q \bar q cross-section is evaluated and related to the structure functions. We then show that the introduction of non-perturbative effects, related to the pion size and preserving gauge invariance, provides us with a straighforward relation with the quark distribution. It is predicted that higher-twist terms become negligible for Q^2 larger than about 2 GeV^2 and that quarks in the pion have a momentum fraction smaller than in the proton. We enlarge the discussion concerning this violation of the momentum sum rule, emphasizing that the sum rule is recovered in the chiral limit and also when the finite size condition is not imposed.
Disciplines :
Physics
Author, co-author :
Lansberg, Jean-Philippe ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique
Bissey, F.
Cudell, Jean-René  ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique
Cugnon, Joseph ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique
Jaminon, Martine ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO)
Stassart, Pierre ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique
Language :
English
Title :
Pion Structure Function and violation of the Momentum Sum Rule
Publication date :
2003
Event name :
Hadron Physics: Effective Theories of Low Energy QCD N°2
Event organizer :
Universidade de Coimbra
Event place :
Coimbra, Portugal
Event date :
du 25 au 29 septembre 2002
Audience :
International
Main work title :
Hadron Physics: Effective Theories of Low Energy QCD N°2
Editor :
Blin, A. H.
Hiller, B.
Ruivo, M. C.
Osipov, A. A.
Van Beveren, E.
Publisher :
American Institute of Physics, New York, United States
Pages :
339-352
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