Analysis of a low-energy correction to the eikonal approximation
Abstract
Extensions of the eikonal approximation to low energy (20MeV/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 C on Pb at 20MeV/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 C and Pb, this problem is resolved and the result perfectly reproduces full CDCC calculations at a lower computational cost.
Cite
@article{arxiv.1401.6893,
title = {Analysis of a low-energy correction to the eikonal approximation},
author = {Tokuro Fukui and Kazuyuki Ogata and Pierre Capel},
journal= {arXiv preprint arXiv:1401.6893},
year = {2014}
}
Comments
8 pages, 7 figures