Shape of Pion Distribution Amplitude
Journal Article
·
· Physical Review D
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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 977125
- Report Number(s):
- JLAB-THY-09-999; DOE/OR/23177-0745; PRVDAQ; TRN: US1002795
- Journal Information:
- Physical Review D, Vol. 80, Issue 9; ISSN 1550-7998
- Country of Publication:
- United States
- Language:
- English
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