Limit on the pion distribution amplitude

Author(s)

Luna, E. G. S. ^[1] ; Natale, A. A. ^{[2, 3]}

Affiliation

^[1] Univ Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS - Brazil

^[2] Univ Fed ABC, Ctr Ciencias Nat & Humanas, BR-09210170 Santo Andre, SP - Brazil

^[3] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo - Brazil

• Document type: Journal article
• Source: JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS; v. 42, n. 1 JAN 2015.
• Web of Science Citations: 2

Abstract

The pion distribution amplitude (DA) can be related to the fundamental QCD Green's functions as a function of the quark self- energy and the quark-pion vertex, which in turn are associated with the pion wave function through the Bethe-Salpeter equation. Considering the extreme hard asymptotic behavior in momentum space allowed for a pseudoscalar wave function, which is limited by its normalization condition, we compute the pion DA and its second moment. From the resulting amplitude, representing the field theoretical upper limit on the DA behavior, we calculate the photon-pion transition form factor F-pi gamma gamma{*}(Q(2)). The resulting upper limit on the pion transition form factor is compared with existing data published by CLEO, BaBar and Belle Collaborations. (AU)

• FAPESP's process: 13/22079-8 - Physics of particles and fields: standard model and its extensions
• Grantee: Adriano Antonio Natale
• Support Opportunities: Research Projects - Thematic Grants