Analysis of a low-energy correction to the eikonal approximation

Tokuro Fukui, Kazuyuki Ogata, and Pierre Capel
Phys. Rev. C 90, 034617 – Published 22 September 2014

Abstract

Extensions of the eikonal approximation to low energy (20 MeV/nucleon typically) are studied. The relation between the dynamical eikonal approximation (DEA) and the continuum-discretized coupled-channels method with the eikonal approximation (E-CDCC) is discussed. When Coulomb interaction is artificially turned off, DEA and E-CDCC are shown to give the same breakup cross section, within 3% error, of C15 on Pb208 at 20 MeV/nucleon. When the Coulomb interaction is included, the difference is appreciable and none of these models agrees with full CDCC calculations. An empirical correction significantly reduces this difference. In addition, E-CDCC has a convergence problem. By including a quantum-mechanical correction to E-CDCC for lower partial waves between C15 and Pb208, this problem is resolved and the result perfectly reproduces full CDCC calculations at a lower computational cost.

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  • Received 27 January 2014
  • Revised 29 July 2014

DOI:https://doi.org/10.1103/PhysRevC.90.034617

©2014 American Physical Society

Authors & Affiliations

Tokuro Fukui1,*, Kazuyuki Ogata1,†, and Pierre Capel2,‡

  • 1Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan
  • 2Physique Nucléaire et Physique Quantique C.P. 229, Université Libre de Bruxelles (ULB), B-1050, Brussels, Belgium

  • *tokuro@rcnp.osaka-u.ac.jp
  • kazuyuki@rcnp.osaka-u.ac.jp
  • pierre.capel@ulb.ac.be

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Issue

Vol. 90, Iss. 3 — September 2014

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