Nucleon-Nucleon Optical Model for Energies to 3 GeV

Abstract

Several nucleon-nucleon potentials, Paris, Nijmegen, Argonne, and those derived by quantum inversion, which describe the NN interaction for T-lab below 300$ MeV are extended in their range of application as NN optical models. Extensions are made in r-space using complex separable potentials definable with a wide range of form factor options including those of boundary condition models. We use the latest phase shift analyses SP00 (FA00, WI00) of Arndt et al. from 300 MeV to 3 GeV to determine these extensions. The imaginary parts of the optical model interactions account for loss of flux into direct or resonant production processes. The optical potential approach is of particular value as it permits one to visualize fusion, and subsequent fission, of nucleons when T-lab above 2 GeV. We do so by calculating the scattering wave functions to specify the energy and radial dependences of flux losses and of probability distributions. Furthermore, half-off the energy shell t-matrices are presented as they are readily deduced with this approach. Such t-matrices are required for studies of few- and many-body nuclear reactions.

Latex, 40 postscript pages including 17 figures

References in corpus (2)

• The nucleon-nucleon interaction
• Relativistic NN scattering equations without partial-wave decomposition

Cited by in corpus (16)

• Nucleon-Nucleon Interaction: A Typical/Concise Review
• Non-localities in nucleon-nucleus potentials
• Extension of the full-folding optical model for nucleon-nucleus scattering with applications up to 1.5 GeV
• Reconstruction of the optical potential from scattering data
• To the nature of nuclear force
• Proton-proton scattering above 3 GeV/c
• Predictions of total and total reaction cross sections for nucleon-nucleus scattering up to 300 MeV
• Coarse graining of NN inelastic interactions up to 3 GeV:Repulsive vs Structural core
• Energy-independent optical ${}^1{S}_{0}NN$ potential from Marchenko equation
• Microscopic analysis of K^+-nucleus elastic scattering based on K^+N phase shifts
• Energy-independent complex single $P$-waves $NN$ potential from Marchenko equation
• Augmentation of nucleon-nucleus scattering by information entropy
• An approximation of the $S$ matrix for solving the Marchenko equation
• Calculation of phases of np- scattering up to Tlab=3 GeV for potentials Argonne group on the phase-function method
• Calculation of phases of np- scattering up to Tlab=3 GeV for Reid68 and Reid93 potentials on the phase-function method
• Relativistic complex separable potential for describing the neutron-proton system in ${}^3{S}_1$-${}^3{D}_1$ partial-wave state