QCD sum rules for pion wave function revisited

Bakulev, A.P.; Mikhailov, S.V.

doi:10.1007/BF01620720

QCD sum rules for pion wave function revisited

A.P. Bakulev
(
- Dubna, JINR
)
,
S.V. Mikhailov
(
- Dubna, JINR
)

Dec, 1994

15 pages

Published in:

Z.Phys.C 68 (1995) 451-458

e-Print:

hep-ph/9412366 [hep-ph]

DOI:

10.1007/BF01620720

Report number:

JINR-E2-94-482,
E2-94-482-JINR-DUBNA

View in:

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Abstract:

We analyze new QCD sum rules for the pion wave function

\varphi_{\pi}(x)

, obtained recently by A.V. Radyushkin [1] in the frame work of the non-local vacuum condensates method for non-diagonal correlators, and suggest a new approach for extracting wave functions of the

\pi

-meson and of its first resonances. As a result we obtain approximately the same form of the pion wave function by using two different methods and for two different ansatzes of non-local quark condensates. We predict the mass of the

\pi'

-resonance and obtain the form of its wave function. The first method uses integrated (in a sense) properties of ansatzes and may be considered as an alternative to traditional borel SR.

Note:

LATEX, 15 pages, 6 figures, revised version contains corrected references

pi: wave function
quantum chromodynamics: sum rule
correlation function
quark: condensation
effect: nonlocal
meson resonance: mass
mass: meson resonance
ground state: wave function
numerical calculations

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