QCD Sum Rules For Pion Wave Function Revisited

Abstract

We analyze new QCD sum rules for the pion wave function ${\varphi }_{\pi }(x)$, obtained recently by A.V. Radyushkin in the framework 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 ${\pi }^{\prime }$-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.

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

References in corpus (1)

• Baryonic currents and their correlators in the Heavy Quark Effective Theory

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