2000/04/26 by I. Fachruddin, Imam Fachruddin, Ch. Elster +1 · 59 citations
Mathematics · Physics and Astronomy · #Amplitude #Angular momentum #Atomic and Molecular Physics #Classical mechanics #Coordinate space #Formalism (music) #Helicity #Mathematical physics #Mathematics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Position and momentum space #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering amplitude #Wave function #nucl-th
paper · pdf · doi:10.1103/physrevc.62.044002
published in Physical Review C 62(4) (American Institute of Physics) · 26 pages plus 10 jpg figures
arxiv created 2000/04/26 · openalex publication_date 2000/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The nucleon-nucleon (NN) t matrix is calculated directly as function of two vector momenta for different realistic NN potentials. To facilitate this a formalism is developed for solving the two-nucleon Lippmann-Schwinger equation in momentum space without employing a partial wave decomposition. The total spin is treated in a helicity representation. Two different realistic NN interactions, one defined in momentum space and one in coordinate space, are presented in a form suited for this formulation. The angular and momentum dependence of the full amplitude is studied and displayed. A partial wave decomposition of the full amplitude it carried out to compare the presented results with the well-known phase shifts provided by those interactions.