OCT 1 4 1969 | F. D. Becchetti, Jr., and G. W. Greenlees
The paper presents a detailed analysis of nucleon-nucleus elastic scattering data for protons and neutrons in the energy range of 10 to 50 MeV and mass numbers greater than 40. The authors developed a FORTRAN IV optical model (OM) code to fit a large set of experimental data simultaneously, including both proton and neutron data, to determine the best-fit parameters of the OM potentials. The analysis considered explicit energy and isospin-dependent terms, which were directly obtained from the data analysis. The resulting parameters were consistent with the range and strength of the central and isospin components of the two-body interaction.
The proton and neutron data sets were selected based on their accuracy and completeness, covering a wide range of energies and nuclear masses. The proton data sets included 46 sets with up to 90 differential cross section points, 90 polarization points, and either total or reaction cross sections. The neutron data sets included 30 sets with 1000 points of accuracy. The experimental errors were considered in the fitting process, and corrections for compound elastic scattering were applied to low-energy data.
The optical potential was parameterized using a combination of Woods-Saxon volume and surface derivative forms, with explicit energy and isospin dependencies. The real and imaginary strengths of the potential were found to be linearly dependent on incident energy. The real central potential could be specified by several combinations of parameters, and a constant spin-orbit strength was determined. The isospin potential was found to have a complex form, with a real volume term and a surface-peaked imaginary term.
The best-fit parameters for both protons and neutrons were obtained by simultaneously fitting all available data. The results showed good agreement with experimental data, with an average chi-square value of about ten per point for 6000 data points. The analysis also revealed that the real central potential had a linear energy dependence, and the imaginary central potentials showed qualitative differences between protons and neutrons, reflecting the neutron excess in the nuclear surface.
The paper discusses the physical implications of the results, including the nuclear matter distribution and the isospin term of the potential. The authors concluded that the resulting OM parameters are compatible with the physical processes involved and can be used with reasonable confidence to generate standard OM potentials in the studied energy range.The paper presents a detailed analysis of nucleon-nucleus elastic scattering data for protons and neutrons in the energy range of 10 to 50 MeV and mass numbers greater than 40. The authors developed a FORTRAN IV optical model (OM) code to fit a large set of experimental data simultaneously, including both proton and neutron data, to determine the best-fit parameters of the OM potentials. The analysis considered explicit energy and isospin-dependent terms, which were directly obtained from the data analysis. The resulting parameters were consistent with the range and strength of the central and isospin components of the two-body interaction.
The proton and neutron data sets were selected based on their accuracy and completeness, covering a wide range of energies and nuclear masses. The proton data sets included 46 sets with up to 90 differential cross section points, 90 polarization points, and either total or reaction cross sections. The neutron data sets included 30 sets with 1000 points of accuracy. The experimental errors were considered in the fitting process, and corrections for compound elastic scattering were applied to low-energy data.
The optical potential was parameterized using a combination of Woods-Saxon volume and surface derivative forms, with explicit energy and isospin dependencies. The real and imaginary strengths of the potential were found to be linearly dependent on incident energy. The real central potential could be specified by several combinations of parameters, and a constant spin-orbit strength was determined. The isospin potential was found to have a complex form, with a real volume term and a surface-peaked imaginary term.
The best-fit parameters for both protons and neutrons were obtained by simultaneously fitting all available data. The results showed good agreement with experimental data, with an average chi-square value of about ten per point for 6000 data points. The analysis also revealed that the real central potential had a linear energy dependence, and the imaginary central potentials showed qualitative differences between protons and neutrons, reflecting the neutron excess in the nuclear surface.
The paper discusses the physical implications of the results, including the nuclear matter distribution and the isospin term of the potential. The authors concluded that the resulting OM parameters are compatible with the physical processes involved and can be used with reasonable confidence to generate standard OM potentials in the studied energy range.