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Title: Shape of Pion Distribution Amplitude

Abstract

A scenario is investigated in which the leading-twist pion distribution amplitude $$\varphi_\pi (x)$$ is approximated by the pion decay constant $$f_\pi$$ for all essential values of the light-cone fraction $$x$$. A model for the light-front wave function $$\Psi (x, k_\perp)$$ is proposed that produces such a distribution amplitude and has a rapidly decreasing (exponential for definiteness) dependence on the light-front energy combination $$ k_\perp^2/x(1-x)$$. It is shown that this model easily reproduces the fit of recent large-$Q^2$ BaBar data on the photon-pion transition form factor. Some aspects of scenario with flat pion distribution amplitude are discussed.

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
977125
Report Number(s):
JLAB-THY-09-999; DOE/OR/23177-0745
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1002795
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 80; Journal Issue: 9; Journal ID: ISSN 1550-7998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; DECAY; DISTRIBUTION; FORM FACTORS; LIGHT CONE; PIONS; SHAPE; WAVE FUNCTIONS

Citation Formats

Radyushkin, Anatoly. Shape of Pion Distribution Amplitude. United States: N. p., 2009. Web. doi:10.1103/PhysRevD.80.094009.
Radyushkin, Anatoly. Shape of Pion Distribution Amplitude. United States. https://doi.org/10.1103/PhysRevD.80.094009
Radyushkin, Anatoly. 2009. "Shape of Pion Distribution Amplitude". United States. https://doi.org/10.1103/PhysRevD.80.094009. https://www.osti.gov/servlets/purl/977125.
@article{osti_977125,
title = {Shape of Pion Distribution Amplitude},
author = {Radyushkin, Anatoly},
abstractNote = {A scenario is investigated in which the leading-twist pion distribution amplitude $\varphi_\pi (x)$ is approximated by the pion decay constant $f_\pi$ for all essential values of the light-cone fraction $x$. A model for the light-front wave function $\Psi (x, k_\perp)$ is proposed that produces such a distribution amplitude and has a rapidly decreasing (exponential for definiteness) dependence on the light-front energy combination $ k_\perp^2/x(1-x)$. It is shown that this model easily reproduces the fit of recent large-$Q^2$ BaBar data on the photon-pion transition form factor. Some aspects of scenario with flat pion distribution amplitude are discussed.},
doi = {10.1103/PhysRevD.80.094009},
url = {https://www.osti.gov/biblio/977125}, journal = {Physical Review D},
issn = {1550-7998},
number = 9,
volume = 80,
place = {United States},
year = {Sun Nov 01 00:00:00 EDT 2009},
month = {Sun Nov 01 00:00:00 EDT 2009}
}