Monte Carlo eikonal scattering

W. R. Gibbs and J. P. Dedonder
Phys. Rev. C 86, 024604 – Published 16 August 2012

Abstract

Background: The eikonal approximation is commonly used to calculate heavy-ion elastic scattering. However, the full evaluation has only been done (without the use of Monte Carlo techniques or additional approximations) for αα scattering.

Purpose: Develop, improve, and test the Monte Carlo eikonal method for elastic scattering over a wide range of nuclei, energies, and angles.

Method: Monte Carlo evaluation is used to calculate heavy-ion elastic scattering for heavy nuclei including the center-of-mass correction introduced in this paper and the Coulomb interaction in terms of a partial-wave expansion. A technique for the efficient expansion of the Glauber amplitude in partial waves is developed.

Results: Angular distributions are presented for a number of nuclear pairs over a wide energy range using nucleon-nucleon scattering parameters taken from phase-shift analyses and densities from independent sources. We present the first calculations of the Glauber amplitude, without further approximation, and with realistic densities for nuclei heavier than helium. These densities respect the center-of-mass constraints. The Coulomb interaction is included in these calculations.

Conclusion: The center-of-mass and Coulomb corrections are essential. Angular distributions can be predicted only up to certain critical angles which vary with the nuclear pairs and the energy, but we point out that all critical angles correspond to a momentum transfer near 1 fm1.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
19 More
  • Received 1 March 2012

DOI:https://doi.org/10.1103/PhysRevC.86.024604

©2012 American Physical Society

Authors & Affiliations

W. R. Gibbs1 and J. P. Dedonder2

  • 1New Mexico State University, Las Cruces, New Mexico 88003, USA
  • 2Laboratoire de Physique Nucléaire et Hautes Énergies, Universités Pierre et Marie Curie et Paris-Diderot, IN2P3 et CNRS 4, place Jussieu, 75252 Paris cedex 05, France

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 86, Iss. 2 — August 2012

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review C

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×