English

Finite nuclei in the reggeon "toy" model

High Energy Physics - Phenomenology 2017-03-08 v1

Abstract

Hadron-nucleus amplitudes at high energies are studied in the "toy" Regge model in zero transverse dimension for finite nuclei, when the standard series of fan diagrams is converted into a finite sum and looses physical sense at quite low energies. Taking into account all the loop contributions by numerical methods we find a physically meaningful amplitudes at all energies. They practically coincide with the amplitudes for infinite nuclei. A surprizing result is that for finite nuclei and small enough triple pomeron coupling the infinite series of fan diagrams describes the amplitude quite well in spite of the fact that in reality the series should be cut and as such deprived of any physical sense at high energies.

Keywords

Cite

@article{arxiv.1612.02546,
  title  = {Finite nuclei in the reggeon "toy" model},
  author = {M. A. Braun},
  journal= {arXiv preprint arXiv:1612.02546},
  year   = {2017}
}
R2 v1 2026-06-22T17:17:09.758Z