Zero-Mode Contribution in Nucleon-Delta Transition

Abstract

We investigate the transition form factors between nucleon and $\Delta$(1232) particles by using a covariant quark-spectator-diquark field theory model in (3+1) dimensions. Performing a light-front calculation in parallel with the manifestly covariant calculation in light-front helicity basis, we examine the light-front zero-mode contribution to the helicity components of light-front good ("+") current matrix elements. Choosing the light-front gauge (${\epsilon }_{h=\pm }^{+}=0$) with circular polarization in Drell-Yan-West frame, we find that only the helicity components $(\frac{1}{2},\frac{1}{2})$ and $(\frac{1}{2},-\frac{1}{2})$ of the good current receive the zero-mode contribution. Taking into account the zero-mode, we find the prescription independence in obtaining the light-front solution of form factors from any three helicity matrix elements with smeared light-front wavefunctions. The angular condition, which guarantees the full covariance of different schemes, is recovered.

16 latex pages, 7 figures, to appear in PRD

References in corpus (20)

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• Light-Cone Representation of the Spin and Orbital Angular Momentum of Relativistic Composite Systems
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• New effective treatment of the light-front nonvalence contribution in timelike exclusive processes
• Electromagnetic $N-\Delta$ transition form factors in a light-front constituent quark model
• Angular Conditions,Relations between Breit and Light-Front Frames, and Subleading Power Corrections
• The Light-Front Zero-Mode Contribution to the Good Current in Weak Transition
• Delta-to-N-gamma Coulomb Quadrupole Amplitude in PQCD
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Cited by in corpus (4)

• D-state effects in the electromagnetic N-Delta transition
• Heavy quarkonium 2S states in light-front quark model
• B_c meson rare decays in the light-cone quark model
• Tetramixing of vector and pseudoscalar mesons: A source of intrinsic quarks