Preprint
Reaction Theory
arXiv.org
Cornell University
10/31/2023
DOI: 10.48550/arxiv.2310.20646
Abstract
Background: Exact numerical treatments of nuclear reactions are not feasible, except for the simplest systems. Few-Body models are justified when the reactions are dominated by a small number of scattering channels.
Purpose: To discuss a method for constructing few-body models from a given Hamiltonian where all of the scattering is into a chosen set of important channels and corrections due to eliminated channels can be systematically computed.
Method:The method uses cluster decompositions and spectral expansions of proper subsystems to control the absolutely continuous spectrum of the many-body Hamiltonian.
Results: The result is a decomposition of the exact Hamiltonian into two parts, one that satisfies an optical theorem in a chosen set of important channels and one that satisfies an optical theorem in the complementary channels. When the reaction has a small number of dominant channels, the dominant channel part of the Hamiltonian is an effective few-body Hamiltonian. The decomposition has the property that the scattering wave functions from the dominant channel Hamiltonian agree with the exact scattering wave functions up to, but not including, N-body correlations.
Details
- Title: Subtitle
- Reaction Theory
- Creators
- Brady J MartinWayne N Polyzou
- Resource Type
- Preprint
- Publication Details
- arXiv.org
- DOI
- 10.48550/arxiv.2310.20646
- eISSN
- 2331-8422
- Publisher
- Cornell University
- Language
- English
- Date posted
- 10/31/2023
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984502958102771
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