Shape of pion distribution amplitude

Journal Article · Sun Nov 01 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.094009· OSTI ID:21325468

Radyushkin, A V ^[1]

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1. Physics Department, Old Dominion University, Norfolk, Virginia 23529 (United States)

A scenario is investigated in which the leading-twist pion distribution amplitude {phi}{sub {pi}}(x) is approximated by the pion decay constant f{sub {pi}} for all essential values of the light-cone fraction x. A model for the light-front wave function {psi}(x,k{sub perpendicular}) is proposed that produces such a distribution amplitude and has a rapidly decreasing (exponential for definiteness) dependence on the light-front energy combination k{sub perpendicular}{sup 2}/x(1-x). It is shown that this model easily reproduces the fit of recent large-Q{sup 2} BABAR data on the photon-pion transition form factor. Some aspects of the scenario with flat pion distribution amplitude are discussed.

• OSTI ID: 21325468
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 9; Other Information: DOI: 10.1103/PhysRevD.80.094009; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
DISTRIBUTION
FORM FACTORS
LIGHT CONE
PARTICLE DECAY
PHOTONS
PIONS
WAVE FUNCTIONS