Approximate formulas for total cross section for moderately small eikonal
Kisselev, A. V.
arXiv, 1606.06678 / Harvested from arXiv
Text on arXiv
The eikonal representation for the total cross section is considered. The approximate formulas for a moderately small eikonal are derived. In contrast to the standard eikonal integrals, they contain no Bessel functions, and, hence, no rapidly oscillating integrands. The formulas obtained are applied to numerical evaluations of the total cross section for a number of particular expressions for the eikonal. It is shown that for pure imaginary eikonals the relative error of O(10^(-5)) can be achieved. Also two improper triple integrals are analytically calculated.
Publié le : 2016-06-19
Classification:  High Energy Physics - Phenomenology,  Mathematical Physics 
@article{1606.06678,
     author = {Kisselev, A. V.},
     title = {Approximate formulas for total cross section for moderately small
  eikonal},
     journal = {arXiv},
     volume = {2016},
     number = {0},
     year = {2016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1606.06678}
}

Kisselev, A. V. Approximate formulas for total cross section for moderately small
  eikonal. arXiv, Tome 2016 (2016) no. 0, . http://gdmltest.u-ga.fr/item/1606.06678/