Application of the Lagrange mesh method in continuum-discretized coupled-channels calculations

Abstract

We apply the Lagrange-mesh method to discretize continuum states of weakly bound nuclei for continuum-discretized coupled-channel (CDCC) calculations of three-body breakup reactions. This discretization method is compared with the bin method, which is regarded as the standard continuum discretization method, for the $d$ and ${}^6$Li induced reactions. An improved Numerov algorithm is used to solve the coupled channels equations, which permits a fast integration of equations and a convenient treatment of the closed channels. A new CDCC model code named \emph{CDCC-R} is developed. In all cases, the combination of the Lagrange-mesh method and the Numerov algorithm shows high efficiency and accuracy for the CDCC calculations of the elastic scattering and breakup reactions. Especially, various numerical and physical aspects are discussed for ${}^6$Li induced reactions. The coupling effects of the continuum states with high orbital angular momentum and closed channels are discussed. Moderate effects are found in the calculations for elastic scattering and breakup reaction when $F$- and $G$-wave continuum states are included in CDCC model space for ${}^6$Li induced reactions at the incident energies well above the Coulomb barrier. The closed channel effect is found to be indispensable for ${}^6$Li breakup reaction calculation when the incident energy is around the Coulomb barrier.

References in corpus (20)

• Effect of continuum couplings in fusion of halo ${}^{11}$Be on ${}^{208}$Pb around the Coulomb barrier
• Calculations of three-body observables in ^8B breakup
• How does breakup influence the total fusion of ${}^{6,7}$Li at the Coulomb barrier?
• Further explorations of the alpha-particle optical model potential at low energies for the mass range A=45-209
• Evidence for transfer followed by breakup in 7Li + 65Cu
• Coupled-channels effects in elastic scattering and near-barrier fusion induced by weakly bound nuclei and exotic halo nuclei
• New treatment of breakup continuum in the method of continuum discretized coupled channels
• Reaction mechanisms in the 6Li+59Co system
• An R-matrix package for coupled-channel problems in nuclear physics
• Numerical assessment of post-prior equivalence for inclusive breakup reactions
• Optical model potential of deuteron with $1p$-shell nuclei
• Core excitation in the elastic scattering and breakup of ${}^{11}$Be on protons
• Toward a microscopic description of reactions involving exotic nuclei
• Applicability of the continuum-discretized coupled-channels method to the deuteron breakup at low energies
• Quantum Tunneling and Scattering of a Composite Object: Revisited and Reassessed
• Interplay of projectile breakup and target excitation in reactions induced by weakly-bound nuclei
• Recent development of CDCC
• Effects of four-body breakup on 6Li elastic scattering near the Coulomb barrier
• The Lagrange-mesh R-matrix method for inhomogenous equations
• Continuum-discretized coupled-channels method for four-body breakup reactions

Cited by in corpus (3)

• Continuum-discretized coupled-channel calculations for ${}^6$Li fusion reactions with closed channels
• Elastic scattering and total reaction cross sections of ${}^6$Li studied with a microscopic continuum discretized coupled channels model
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei