The Pion Wave Function and QCD Sum Rules with Nonlocal Condensates [electronic resource].

Published:: Washington, D.C. : United States. Dept. of Energy, 1991.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description:: page(s) 1,754-1,759 : digital, PDF file
Additional Creators:: Thomas Jefferson National Accelerator Facility (U.S.), United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information

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Summary:

The QCD sum rule calculation of the pion wave function by Chernyak and Zhitnitsky is implicitly assuming that the correlation length of vacuum fluctuations is large compared to the typical hadronic scale ~ 1/m(sub)p, so that one can substitute the orginal nonlocal objects like (q-bar(0)q(z)) by constant (q-bar(0)q(0))-type values.We outline a formalism enabling one to work directly with the nonlocal condensates, and construct a modified sum rule for the moments (Xi^N) of the pion wave function. The results are rather sensitive to the value of the parameter lambda^2(sub)q = (q-barD^2q)/(q-bar q) specifying the average virtuality of the vacuum quarks.Varying it from the most popular value lambda^2(sub)q = 0.4 GeV^2 up to the value lamba^2(sub)q = 1.2 GeV^2 suggested by the instanton liquid model, we obtain (Xi^2) = 0.25 - 0.20, to be compared to the CZ value (Xi^2) = 0.43 obtained with lambda^2(sub)q = 0.

Report Numbers:

E 1.99:cebaf-th-91-11
cebaf-th-91-11

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Published through SciTech Connect.
10/01/1991.
"cebaf-th-91-11"
Physical Review D 45 FT
Radyushkin, Anatoly; Mikhailov, Sergei.

Funding Information:

AC05-84ER40150

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