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✦   LIBER   ✦

On the form factor of physical mesons and their distribution function

✍ Scribed by Hans-Christian Pauli

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
166 KB
Volume
705
Category
Article
ISSN
0375-9474

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✦ Synopsis

This work addresses more to the technical rather than to the physical problem, how to calculate analytically the form factor F (Q), the associated mean-square radius r 2 , and the distribution function Ξ¦(x, Q 2 ) for a given light-cone wave function Ξ¨ q q (x, k βŠ₯ ) of the pion. They turn out to be functions of only one dimensionless parameter, which is the ratio of the constituent quark mass and an effective Bohr momentum which measures the width of the wave function in momentum space. Both parameters are subject to change in the future, when the presently used solution for the over simplified ↑↓-model will be replaced by something better. Their relation to and agreement with experiment is discussed in detail. The procedure can be generalized also to other hadrons.

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Based on QCD conformal partial wave expansion to leading order conformal spin accuracy, we present the light-cone distribution amplitudes (DAs) of Ξ£ and Ξ› baryons up to twist 6. It is concluded that fourteen independent DAs are needed to describe the valence three-quark states of the baryons at smal