2012/05/25 by O. A. Rubtsova, V. N. Pomerantsev, V. I. Kukulin +1
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Breakup #Classical mechanics #Discretization #Faddeev equations #Few-body systems #Integral equation #Many-body problem #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Statistical physics #Three-body problem #nucl-th
paper · pdf · doi:10.1103/physrevc.86.034004
17 pages, 13 figures
arxiv created 2012/05/25 · openalex publication_date 2012/09/20 · arxiv updated 2015/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the latticelike discretization of the three-body continuum with a three-body stationary wave-packet basis in momentum space. The approach makes it possible to simplify drastically all the three- and few-body breakup calculations due to discrete representation for the few-body continuum and lattice representation for all the scattering operators entering the integral equation kernels. As a result, the few-body breakup can be treated as a particular case of multichannel scattering in which part of the channels represents the true few-body continuum states. As an illustration for the novel approach, an accurate calculations for the three-body breakup process n+d\ensuremath→n+n+p with nonlocal and local NN interactions are calculated. The results obtained reproduce nicely the benchmark calculation results using the traditional Faddeev scheme which requires much more tedious and time-consuming calculations.