Pion Form Factor

We give the normalized leading asymptotic Q/sup 2/ dependence of the pion form factor in quantum chromodynamics: F/sub (/(Q/sup 2/) ..-->.. /sub Q/2/sub arrow-rightplus-or-minusinfinity/-2f/sub (/ /sup 2//bQ/sup 2/lnvertical-barQ/sup 2/vertical-bar, where f/sub (/ is the pion decay constant and b...

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Veröffentlicht in:Phys. Rev. Lett.; (United States) 1979-01, Vol.43 (4), p.246-249
Hauptverfasser: Farrar, Glennys R., Jackson, Darrell R.
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Sprache:eng
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Zusammenfassung:We give the normalized leading asymptotic Q/sup 2/ dependence of the pion form factor in quantum chromodynamics: F/sub (/(Q/sup 2/) ..-->.. /sub Q/2/sub arrow-rightplus-or-minusinfinity/-2f/sub (/ /sup 2//bQ/sup 2/lnvertical-barQ/sup 2/vertical-bar, where f/sub (/ is the pion decay constant and b = (11-2/3N/sub f/)/16..pi../sup 2/. Up to non--leading-logarithmic corrections, this is equivalent to F/sub (/(Q/sup 2/) ..-->.. /sub Q/2/sub arrow-rightplus-or-minusinfinity/8..pi cap alpha../sub s/(Q/sup 2/) f/sub (/ /sup 2//(-Q/sup 2/). These results are obtained by solving the light-cone pion Bethe-Salpeter equation in quantum chromodynamics to leading-logarithmic accuracy.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.43.246