Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2009, Volume 90, Issue 4, Pages 250–253 (Mi jetpl504)  

This article is cited in 98 scientific papers (total in 98 papers)

FIELDS, PARTICLES, AND NUCLEI

On the Pion Distribution Amplitude Shape

M. V. Polyakovab

a Institut für Theoretische Physik II, Ruhr-Universität Bochum, D--44780 Bochum, Germany
b Petersburg Nuclear Physics Institute, Russian Academy of Sciences
References:
Abstract: We argue that the recent BaBar data on $\gamma\to\pi$ e.m. transition form factor at large photon virtuality supports the idea that pion distribution amplitude (DA) is close to unity with $\phi_\pi^\prime(0)/6\gg 1$ at a normalization point of $\mu=0.6\div 0.8$ GeV. Such pion DA can be obtained in the effective chiral quark model. The possible flat shape of the pion DA implies that the standard expansion of the DA in Gegenbauer polynomials can be divergent. On basis of chiral models we predict that the two-pion DA should exhibit anomalous endpoint behaviour for pions in the S-wave and that such feature is absent for higher partial waves. The latter implies that the $\rho,f_2$, etc. meson DAs have no anomalous endpoint behaviour. Possible implications of such pion DA for other hard exclusive processes are shortly discussed.
Received: 07.07.2009
English version:
Journal of Experimental and Theoretical Physics Letters, 2009, Volume 90, Issue 4, Pages 228–231
DOI: https://doi.org/10.1134/S0021364009160024
Bibliographic databases:
Document Type: Article
PACS: 12.38.-t
Language: English
Citation: M. V. Polyakov, “On the Pion Distribution Amplitude Shape”, Pis'ma v Zh. Èksper. Teoret. Fiz., 90:4 (2009), 250–253; JETP Letters, 90:4 (2009), 228–231
Citation in format AMSBIB
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\by M.~V.~Polyakov
\paper On the Pion Distribution Amplitude Shape
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2009
\vol 90
\issue 4
\pages 250--253
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\transl
\jour JETP Letters
\yr 2009
\vol 90
\issue 4
\pages 228--231
\crossref{https://doi.org/10.1134/S0021364009160024}
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  • https://www.mathnet.ru/eng/jetpl/v90/i4/p250
  • This publication is cited in the following 98 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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