TY - JOUR

T1 - Finite nuclei in the reggeon “toy model”

AU - Braun, M. A.

N1 - Publisher Copyright: © 2017, The Author(s).

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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 loses 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 surprising 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.

AB - 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 loses 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 surprising 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.

UR - http://www.scopus.com/inward/record.url?scp=85010917020&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-017-4617-z

DO - 10.1140/epjc/s10052-017-4617-z

M3 - Article

AN - SCOPUS:85010917020

VL - 77

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 1

M1 - 49

ER -