N-d scattering above the deuteron breakup threshold

Abstract

The complex Kohn variational principle and the (correlated) Hyperspherical Harmonics technique are applied to study the N--d scattering above the deuteron breakup threshold. The configuration with three outgoing nucleons is explicitly taken into account by solving a set of differential equations with outgoing boundary conditions. A convenient procedure is used to obtain the correct boundary conditions at values of the hyperradius $\approx 100$ fm. The inclusion of the Coulomb potential is straightforward and does not give additional difficulties. Numerical results have been obtained for a simple s-wave central potential. They are in nice agreement with the benchmarks produced by different groups using the Faddeev technique. Comparisons are also done with experimental elastic N--d cross section at several energies.

LaTeX, 13 pages, 3 figures

References in corpus (1)

• Study of bound and scattering states in three-nucleon systems

Cited by in corpus (10)

• Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction
• Polarization observables in p-d scattering below 30 MeV
• Systematic investigation of the elastic proton-deuteron differential cross section at intermediate energies
• Phenomenological spin-orbit three-body force
• Benchmark calculation for proton-deuteron elastic scattering observables including Coulomb
• proton-deuteron elastic scattering above the deuteron breakup
• Solving three-body scattering problem in the momentum lattice representation
• Breakup of three particles within the adiabatic expansion method
• Three-Nucleon Continuum by means of the Hyperspherical Adiabatic Method
• Total cross section for p-d breakup below 30 MeV