Generalized parton distributions of the pion

Journal Article · Sun Aug 31 04:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2973514· OSTI ID:21149182

Broniowski, Wojciech ^[1]; Arriola, Enrique Ruiz ^[2]; Golec-Biernat, Krzysztof ^[3]

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1. H. Niewodniczanski Institute of Nuclear Physics PAN, PL-31342 Krakow (Poland) and Institute of Physics, Jan Kochanowski University, PL-25406 Kielce (Poland)
2. Departamento de Fisica Atomica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada (Spain)
3. H. Niewodniczanski Institute of Nuclear Physics PAN, PL-31342 Krakow (Poland) and Institute of Physics, Rzeszow University, PL-35959 Rzeszow (Poland)

Generalized Parton Distributions of the pion are evaluated in chiral quark models with the help of double distributions. As a result the polynomiality conditions are automatically satisfied. In addition, positivity constraints, proper normalization and support, sum rules, and soft pion theorems are fulfilled. We obtain explicit expressions holding at the low-energy quark-model scale, which exhibit no factorization in the t-dependence. The crucial QCD evolution of the quark-model distributions is carried out up to experimental or lattice scales. The obtained results for the Parton Distribution Function and the Parton Distribution Amplitude describe the available experimental and lattice data, confirming that the quark-model scale is low, around 320 MeV.

• OSTI ID: 21149182
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1030; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
CHIRAL SYMMETRY
CHIRALITY
DISTRIBUTION
DISTRIBUTION FUNCTIONS
FACTORIZATION
GLUONS
LOW-ENERGY THEOREM
MEV RANGE
PIONS
QUANTUM CHROMODYNAMICS
QUARK MODEL
QUARKS
SUM RULES
SYMMETRY BREAKING