Global phenomenological optical model potential for nucleon-actinide reactions at energies up to 300 MeV

Abstract

A set of new global phenomenological optical model potential parameters for the actinide region with incident nucleon energies from 1 keV up to 300 MeV is obtained. They are based on a smooth, unique functional form for the energy dependence of the potential depths and on physically constrained geometry parameters. The available experimental data including the neutron total cross sections, nonelastic cross sections, elastic scattering cross sections, elastic scattering angular distributions, and proton reaction cross sections and elastic scattering angular distributions of 232 Th and 238 U are used. The new nucleon global optical model potential parameters obtained are analyzed and used to analyze the experimental data of nucleon-actinide reactions. It is found that the present form of the global optical model potential could reproduce both the neutron and the proton experimental data.

Theoretical calculations of n+ 232 Th reaction for energies up to 150 MeV

“…The calculated results of total, nonelastic and elastic scattering cross sections, elastic scattering angular distributions and inelastic scattering angular distributions of discrete level are in good agreement with the experimental data (Han et al, 2010). The calculated results of the inelastic scattering angular distributions of discrete level are in good agreement with the results of the coupled-channel calculation (Soukhovitskii et al, 2004).…”

“…The neutron and proton optical model potential parameters (Han et al, 2010) have been obtained from experimental data of total, nonelastic cross sections and elastic scattering angular distributions and are used in our calculation. The optical potential parameters for deuteron were obtained by Han et al (2006) and used as triton optical potential parameters.…”

Symmetry energy, its density slope, and neutron-proton effective mass splitting at normal density extracted from global nucleon optical potentials

“…Since the 1960s, there have been many sets of GOPs deduced from phenomenological model analyses of the world data existing at the time [57,58]. While some of the analyses assumed an energy-independent symmetry potential (see, e.g., [51,57]), a significant number of studies considered the energy dependence [58]. We also note here 054607-2 that there are also some local/global phenomenological optical potentials with mass dependence and semimicroscopic optical potentials involving complex nuclear structure calculations (see Ref.…”

Jost function formalism based on the Hartree-Fock-Bogoliubov formalism

“…The optical potential is indispensable to a reliable extraction of nuclear structure information from experimental data of various direct nuclear reactions such as inelastic scattering and transfer reactions. The global optical potentials(GOP) have been investigated for long time [5][6][7][8][9][10][11][12][13][14][15][16][17][18], and succeeded to reproduce the experimental cross section with high accuracy. The GOP is given by the complex function, the imaginary part gives the absorption of the target nucleus for the current of the incident beam.…”