Reference : Pion Structure Function and violation of the Momentum Sum Rule
Scientific congresses and symposiums : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/23793
Pion Structure Function and violation of the Momentum Sum Rule
English
Lansberg, Jean-Philippe mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique >]
Bissey, F. [> >]
Cudell, Jean-René mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique >]
Cugnon, Joseph mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique >]
Jaminon, Martine mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO) >]
Stassart, Pierre mailto [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Interactions fondamentales en physique et astrophysique >]
2003
Hadron Physics: Effective Theories of Low Energy QCD N°2
Blin, A. H.
Hiller, B.
Ruivo, M. C.
Osipov, A. A.
Van Beveren, E.
American Institute of Physics
339-352
No
No
International
New York
USA
Hadron Physics: Effective Theories of Low Energy QCD N°2
du 25 au 29 septembre 2002
Universidade de Coimbra
Coimbra
Portugal
[en] pon structure function ; QCD sum rules
[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.
Researchers
http://hdl.handle.net/2268/23793
http://arxiv.org/abs/hep-ph/0211450

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
momsum.pdfAuthor preprint208.15 kBView/Open

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.