The Two-Nucleon System in Three Dimensions
arXiv:1001.1264 · doi:10.1103/PhysRevC.81.034006
Abstract
A recently developed formulation for treating two- and three-nucleon bound states in a three-dimensional formulation based on spin-momentum operators is extended to nucleon-nucleon scattering. Here the nucleon-nucleon t-matrix is represented by six spin-momentum operators accompanied by six scalar functions of momentum vectors. We present the formulation and provide numerical examples for the deuteron and nucleon-nucleon scattering observables. A comparison to results from a standard partial wave decomposition establishes the reliability of this new formulation.
34 pages, 9 figures (in 41 eps files)
References in corpus (6)
- Modern Theory of Nuclear Forces
- Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach
- Poincaré Invariant Three-Body Scattering at Intermediate Energies
- 3N Scattering in a Three-Dimensional Operator Formulation
- Two-body scattering without angular-momentum decomposition
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Cited by in corpus (17)
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- Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
- Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
- Spin in relativistic quantum theory
- A momentum-space Argonne V18 interaction
- A Three-Dimensional Treatment of the Three-Nucleon Bound State
- Two-Nucleon Scattering without partial waves using a momentum space Argonne V18 interaction
- Different Methods for the Two-Nucleon T-Matrix in the Operator Form
- A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
- Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
- Deuteron disintegration in three dimensions
- Scattering of a spin-1/2 particle off a spin-0 target in a simple three-dimensional basis
- Nuclear spin features relevant to ab initio nucleon-nucleus elastic scattering
- Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
- Chiral uncertainties in ab initio nucleon-nucleus elastic scattering
- 3H and 3He calculations without angular momentum decomposition
- Numerical study of the two-boson bound-state problem with and without partial-wave decomposition