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- Title
Asymptotic method for determining the amplitude for three-particle breakup: Neutron-deuteron scattering.
- Authors
Belov, P.; Yakovlev, S.
- Abstract
The process of neutron-deuteron scattering at energies above the deuteron-breakup threshold is described within the three-body formalism of Faddeev equations. Use is made of the method of solving Faddeev equations in configuration space on the basis of expanding wave-function components in the asymptotic region in bases of eigenfunctions of specially chosen operators. Asymptotically, wave-function components are represented in the form of an expansion in an orthonormalized basis of functions depending on the hyperangle. This basis makes it possible to orthogonalize the contributions of elastic-scattering and breakup channels. The proposed method permits determining scattering and breakup parameters from the asymptotic representation of the wave function without reconstructing it over the entire configuration space. The scattering and breakup amplitudes for states of total spin S = 1/2 and 3/2 were obtained for the s-wave Faddeev equation.
- Subjects
PARTICLES (Nuclear physics); NEUTRON scattering; DEUTERON scattering; THREE-body problem; NUMERICAL solutions to equations; CONFIGURATION space; WAVE functions
- Publication
Physics of Atomic Nuclei, 2013, Vol 76, Issue 2, p126
- ISSN
1063-7788
- Publication type
Article
- DOI
10.1134/S106377881301002X