Sensitivity of nucleon-nucleus scattering to the off-shell behavior of on-shell equivalent NN potentials

Abstract

The sensitivity of nucleon-nucleus elastic scattering to the off-shell behavior of realistic nucleon-nucleon interactions is investigated when on-shell equivalent nucleon-nucleon potentials are used. The study is based on applications of the full-folding optical model potential for an explicit treatment of the off-shell behavior of the nucleon-nucleon effective interaction. Applications were made at beam energies between 40 and 500 MeV for proton scattering from 40Ca and 208Pb. We use the momentum-dependent Paris potential and its local on-shell equivalent as obtained with the Gelfand-Levitan and Marchenko inversion formalism for the two nucleon Schroedinger equation. Full-folding calculations for nucleon-nucleus scattering show small fluctuations in the corresponding observables. This implies that off-shell features of the NN interaction cannot be unambiguously identified with these processes. Inversion potentials were also constructed directly from NN phase-shift data (SM94) in the 0-1.3 GeV energy range. Their use in proton-nucleus scattering above 200 MeV provide a superior description of the observables relative to those obtained from current realistic NN potentials. Limitations and scope of our findings are presented and discussed.

arXiv comment17 pages tightened REVTeX, 8 .ps figures, submitted to Phys. Rev. C

References in corpus (3)

• Construction of high-quality Nucleon-Nucleon potential models
• An updated analysis of NN elastic scattering data to 1.6 GeV
• Delta--Excitation and Exchange Corrections for NN--Bremsstrahlung

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• Extension of the full-folding optical model for nucleon-nucleus scattering with applications up to 1.5 GeV
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• Analysis of NN Amplitudes up to 2.5 GeV: An Optical Model and Geometric Interpretation
• Off-Shell Structures of Nucleon-Nucleon t-matrices and their Influence on Nucleon-Nucleus Elastic Scattering Observables
• Energy Dependence of the NN t-matrix in the Optical Potential for Elastic Nucleon-Nucleus Scattering
• Low excitation structure of ${}^{10}$B probed by scattering of electron and of 197 MeV polarized protons
• Calculation of phases of np- scattering up to Tlab=3 GeV for potentials Argonne group on the phase-function method