Finite nuclei in the reggeon "toy" model

TL;DR

This paper investigates high-energy hadron-nucleus interactions using a simplified Regge model, revealing that finite nuclei amplitudes closely resemble infinite nuclei results even when series truncation occurs.

Contribution

It demonstrates that finite nuclei amplitudes can be accurately approximated by infinite series in a simplified Regge model, despite series truncation at low energies.

Findings

Finite nuclei amplitudes match infinite nuclei results.

Series truncation does not significantly affect amplitude accuracy.

Infinite fan diagram series remains valid at low energies for small triple pomeron coupling.

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.