Electromagnetic response of confined Dirac particles
Abstract
The eigenstates of a single massless Dirac particle confined in a linear potential are calculated exactly by direct solution of the Dirac equation. The electromagnetic structure functions are calculated from the Dirac wave functions of the ground and excited states of the particle by coupling to its conserved vector current. We obtain the longitudinal and transverse structure functions as a function of y∼=νq, where ν and q are the energy and momentum transferred to the target in its rest frame. At values of q≳2.5 GeV, much larger than the characteristic energy scale ∼440 MeV of the confining potential, the response exhibits y∼ scaling, a generalization of Bjorken scaling. We compare the exact structure functions with those obtained from the ground state wave functions in the plane wave impulse approximation. The deviation from the CallanGross relation is compared with the parton model prediction.
 Publication:

Physical Review C
 Pub Date:
 August 2003
 DOI:
 10.1103/PhysRevC.68.025201
 arXiv:
 arXiv:nuclth/0305020
 Bibcode:
 2003PhRvC..68b5201P
 Keywords:

 24.85.+p;
 13.60.Hb;
 12.39.Ki;
 12.39.Pn;
 Quarks gluons and QCD in nuclei and nuclear processes;
 Total and inclusive cross sections;
 Relativistic quark model;
 Potential models;
 Nuclear Theory;
 High Energy Physics  Phenomenology
 EPrint:
 19 pages, 5 figures