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 ${}^{15}$C on ${}^{208}$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 ${}^{15}$C and ${}^{208}$Pb, this problem is resolved and the result perfectly reproduces full CDCC calculations at a lower computational cost.

8 pages, 7 figures

References in corpus (5)

• The continuum discretized coupled-channels method and its applications
• Four-body continuum-discretized coupled-channels calculations
• Determination of S17 from 8B breakup by means of the method of continuum-discretized coupled-channels
• Eikonal Reaction Theory for Neutron-Removal Reaction
• Dissociation of Relativistic Projectiles with the Continuum-Discretized Coupled-Channels Method

Cited by in corpus (15)

• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Constraining Transfer Cross Sections Using Bayes' Theorem
• Uncertainty Quantification for Optical Model Parameters
• Recent advances in the quantification of uncertainties in reaction theory
• Probing the exotic structure of ${}^8$B by its elastic scattering and breakup reaction on nuclear targets
• Low-energy corrections to the eikonal description of elastic scattering and breakup of one-neutron halo nuclei in nuclear-dominated reactions
• Analysis of corrections to the eikonal approximation
• Current Status of Nuclear Physics Research
• Extension of the ratio method to low energy
• Extension of the ratio method to proton-rich nuclei
• Detailed Study of the Eikonal Reaction Theory for the breakup of one-neutron halo nuclei
• Recent developments in the eikonal description of the breakup of exotic nuclei
• Study of Cluster Structures in Nuclei through the Ratio Method. A Tribute to Mahir Hussein
• First experimental test of the ratio method for nuclear-reaction analysis
• Eikonal Approximation for Floquet Scattering