Fixed poles in Compton amplitudes, and the pomeranchukon coupling

1972
7 pages
Published in:
  • Phys.Rev.D 5 (1972) 2056-2062

Citations per year

1972198119901999200702468
Abstract: (APS)
The nonperturbative formulation of the parton model is used to discuss the Regge properties of current amplitudes at fixed q2. It is shown that, in addition to j=1 wrong-signature fixed poles due to third-spectral-function effects, there are further poles of this type associated with current-algebra anticommutators. The two types of poles combine additively with each other and multiplicatively with even-signature Regge poles. Their consequences for the coupling of the Pomeranchukon, for gauge invariance, and for deep-inelastic scattering are investigated. In particular, it is found that the coupling of the Pomeranchukon in the total cross section for photoproduction arises solely from the third-spectral-function effects and not from the current-algebra fixed pole; hence it cannot be calculated with present knowledge. The existence of a right-signature j=0 fixed pole with residue linear in q2 is also confirmed.
  • compton scattering
  • model: fixed pole
  • pomeron
  • postulated particle: parton
  • current algebra
  • invariance: gauge
  • model: deep inelastic scattering
  • deep inelastic scattering: model
  • photoproduction: total cross section
  • total cross section: photoproduction