Zeromode contribution in nucleondelta transition
Abstract
We investigate the transition form factors between nucleon and Δ(1232) particles by using a covariant quarkspectatordiquark field theory model in (3+1) dimensions. Performing a lightfront calculation in parallel with the manifestly covariant calculation in the lightfront helicity basis, we examine the lightfront zeromode contribution to the helicity components of lightfront good (“+”) current matrix elements. Choosing the lightfront gauge (γ_{h=±}^{+}=0) with circular polarization in the DrellYanWest frame, we find that only the helicity components ((1)/(2),(1)/(2)) and ((1)/(2),(1)/(2)) of the good current receive the zeromode contribution. Taking into account the zero mode, we find the prescription independence in obtaining the lightfront solution of form factors from any three helicity matrix elements with smeared lightfront wave functions. The angular condition, which guarantees the full covariance of different schemes, is recovered.
 Publication:

Physical Review D
 Pub Date:
 October 2007
 DOI:
 10.1103/PhysRevD.76.074009
 arXiv:
 arXiv:0708.0172
 Bibcode:
 2007PhRvD..76g4009Y
 Keywords:

 12.38.Bx;
 13.40.Gp;
 14.20.Dh;
 14.20.Gk;
 Perturbative calculations;
 Electromagnetic form factors;
 Protons and neutrons;
 Baryon resonances with S=0;
 High Energy Physics  Phenomenology
 EPrint:
 16 latex pages, 7 figures, to appear in PRD