OCT 1 4 1969 | F. D. Becchetti, Jr., and G. W. Greenlees
This paper presents the results of a comprehensive analysis of proton and neutron elastic scattering data for nuclei with A > 40 and energies below 50 MeV. The optical model parameters were determined by simultaneously fitting a large number of experimental data points, including both proton and neutron data. The parameters were derived from the data using a combination of energy and isospin dependent terms, and the results are consistent with the central and isospin components of the two-body interaction.
The optical model parameters were determined by fitting experimental data using a FORTRAN IV code that solved the time-independent, non-relativistic Schrödinger equation for partial wave scattering amplitudes. The code included an automatic least squares search routine to optimize up to thirty parameters. The data were interpolated to the nearest even center of mass angles to minimize computation time and storage requirements. The criterion function used in the analysis was designed to weight the three observables—differential cross sections, polarization data, and reaction or total cross sections—equally.
The analysis revealed that the real and imaginary strengths of the optical potential are linearly dependent on incident energy. The real central potential was found to have a range of parameters, while the spin orbit strength was found to be constant. The isospin potential was found to have a real volume term and a surface-peaked imaginary term. The neutron data were analyzed using the proton parameters as a starting point, and the results showed that the energy dependence of the central strengths was similar to that of the proton parameters.
The results of the analysis showed that the optical model parameters are consistent with the physical processes involved and can be used with reasonable confidence to generate standard optical model potentials in the region of A > 40 and E < 50 MeV. The parameters were found to be compatible with the physical processes involved and can be used with reasonable confidence to generate standard optical model potentials in this region. The results also showed that the isospin term of the potential does not have the volume form used here, but this term makes a relatively small contribution to the potential. The imaginary central potentials for protons and neutrons showed qualitative differences, with the proton potential displaced to larger radii and having a greater magnitude in the surface region compared to the neutron potential. The results also indicated that the neutron excess in the nuclear surface is concentrated on the nuclear surface.This paper presents the results of a comprehensive analysis of proton and neutron elastic scattering data for nuclei with A > 40 and energies below 50 MeV. The optical model parameters were determined by simultaneously fitting a large number of experimental data points, including both proton and neutron data. The parameters were derived from the data using a combination of energy and isospin dependent terms, and the results are consistent with the central and isospin components of the two-body interaction.
The optical model parameters were determined by fitting experimental data using a FORTRAN IV code that solved the time-independent, non-relativistic Schrödinger equation for partial wave scattering amplitudes. The code included an automatic least squares search routine to optimize up to thirty parameters. The data were interpolated to the nearest even center of mass angles to minimize computation time and storage requirements. The criterion function used in the analysis was designed to weight the three observables—differential cross sections, polarization data, and reaction or total cross sections—equally.
The analysis revealed that the real and imaginary strengths of the optical potential are linearly dependent on incident energy. The real central potential was found to have a range of parameters, while the spin orbit strength was found to be constant. The isospin potential was found to have a real volume term and a surface-peaked imaginary term. The neutron data were analyzed using the proton parameters as a starting point, and the results showed that the energy dependence of the central strengths was similar to that of the proton parameters.
The results of the analysis showed that the optical model parameters are consistent with the physical processes involved and can be used with reasonable confidence to generate standard optical model potentials in the region of A > 40 and E < 50 MeV. The parameters were found to be compatible with the physical processes involved and can be used with reasonable confidence to generate standard optical model potentials in this region. The results also showed that the isospin term of the potential does not have the volume form used here, but this term makes a relatively small contribution to the potential. The imaginary central potentials for protons and neutrons showed qualitative differences, with the proton potential displaced to larger radii and having a greater magnitude in the surface region compared to the neutron potential. The results also indicated that the neutron excess in the nuclear surface is concentrated on the nuclear surface.