Eur. Phys. J. A (2006) 28: 329-344
https://doi.org/10.1140/epja/i2005-10284-x

Hadron Physics

Off-shell photon light-cone wave functions with odd chirality

College of Physics and Technology, Wuhan University, 430072, Wuhan, PRC

Received: 19 October 2005
Accepted: 30 May 2006
Published online: 10 July 2006

Abstract

Based on a more reasonable simulation method for dealing with the Λ-parameter characterizing the pole form for the form factor (the Fourier transform of the instanton zero mode), and a unified way for regularizing the integrals appearing in the expressions of the light-cone photon wave functions, the transverse photon wave function (u, P ²) at the leading twist with the on-shell or off-shell momentum have been re-examined in the effective low-energy theory derived from the instanton vacuum, and the twist-two parts of the other two photon wave functions, h ^{(s), twisttwo} _{γ ||} (u, P ²) and h ^{(t), twisttwo} _{γ ||} (u, P ²), with odd chirality are calculated based on the Wandzura-Wilczek-like relations as well. A brief discussion of the dependence of the coupling f _γ ^⊥(P ²) and the light-cone photon wave functions with respect to P² and the end-point behavior of the photon wave functions are given.