Power Corrections and the Gaussian Form of the Meson Wave Function

Details Power Corrections and the Gaussian Form of the Meson Wave Function Power Corrections and the Gaussian Form of the Meson Wave Function

1997-09-29

arxiv.org/abs/hep-ph/9709497v2

Phys.Rev. D58 (1998) 013011

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pp, Latex, 2 figures, uses axodraw. Discussion of comparison with other models modified. One reference added

Scientific paper

10.1103/PhysRevD.58.013011

The wave function of a light pseudoscalar meson is considered and nonperturbative corrections as signaled by perturbation theory are calculated. Two schemes are used, the massive gluon and the running coupling scheme. Both indicate the presence of leading power corrections of ${\cal O}(b^2)$, whose exponentiation leads to a Gaussian dependence of the wave function on the impact parameter $b$. The dependence of this correction on the light cone energy fractions of the quark and the antiquark is discussed and compared with other models for the meson.

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