Eur. Phys. J. A (2015) 51: 19
https://doi.org/10.1140/epja/i2015-15019-x

Regular Article - Theoretical Physics

Transverse distortion of a relativistic composite system in impact parameter space

Department of Physics, Dr. B. R. Ambedkar National Institute of Technology, 144011, Jalandhar, India

^* e-mail: dahiyah@nitj.ac.in

Received: 14 October 2014
Revised: 27 January 2015
Accepted: 31 January 2015
Published online: 25 February 2015

Abstract

We investigate the Generalized Parton Distributions (GPDs) in impact parameter space using the explicit light front wave functions (LFWFs) for the two-particle Fock state of the electron in QED. The Fourier transform (FT) of the GPDs gives the distribution of quarks in the transverse plane for zero longitudinal momentum transfer (ξ = 0). We study the relationship of the spin-flip GPD E(x, 0, ) with the distortion of unpolarized quark distribution in the transverse plane when the target nucleon is transversely polarized and also determine the sign of distortion from the sign of anomalous magnetic moment. To verify the sign of distortion, we also compute it directly from the LFWFs by performing a FT in position space coordinate . The explicit relation between the deformation in the two spaces can also be obtained using the convolution integrals. To show the relation of the model LFWFs to a realistic model of nucleon physics, we have designed a specific weight function of our model LFWFs and integrated it over the mass parameter. Also we have simulated the form factor of the nucleon in the AdS/QCD holographic LFWFs model and studied the power-law behaviour at short distances.