Soft gluon radiation and energy dependence of total hadronic cross-sections

Aug, 2004
21 pages
Published in:
  • Phys.Rev.D 72 (2005) 076001
e-Print:
Report number:
  • IISC-CHEP-9-04

Citations per year

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Abstract:
An impact parameter representation for soft gluon radiation is applied to obtain both the initial decrease of the total cross-section (σtot\sigma_{tot}) for proton-proton collisions as well as the later rise of σtot\sigma_{tot} with energy for both pppp and ppˉp\bar{p}. The non-perturbative soft part of the eikonal includes only limited low energy gluon emission and leads to the initial decrease in the proton-proton cross- section. On the other hand, the rapid rise in the hard, perturbative jet part of the eikonal is tamed into the experimentally observed mild increase by soft gluon radiation whose maximum energy rises slowly with energy.
  • 29.40.Gx
  • 11.30.Er
  • 13.20.Eb
  • 13.20.Jf
  • p p: interaction
  • anti-p p: annihilation
  • total cross section: energy dependence
  • gluon: radiation
  • quantum chromodynamics
  • approximation: eikonal