College Park, Maryland      June 6 - 10 , 2004

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TP41: Simple functional forms for total cross sections from neutron-nucleus collisions.

P. K. Deb (Department of Physics, The Ohio State University, Columbus, OH 43210, USA), K. Amos (School of Physics, The University of Melbourne, Victoria 3010, Australia)

Total cross sections have been predicted for neutrons scattering from nuclei ranging in mass from 6 to 238 and for projectile energies from 10 MeV to 800 MeV. So also have been the mass variations of those cross sections at selected energies when they have been calculated using coordinate space optical potentials formed by full folding effective two -nucleon (NN) interactions with one body density matrix elements (OBDME) of the nuclear ground states. Good comparisons with data result when effective NN interactions defined by medium modification of free NN t matrices are used. There is a simple three parameter functional form that produces the partial wave total cross section values determined from those optical potential calculations. Adjusting the theoretical defined parameter values has enabled us to fit the actual measured data values from the scattering involving 9 nuclei spanning the mass range from ⁶Li to ²³⁸U and for neutron energies from 10 MeV to 600 MeV. The parameter values vary smoothly with mass and energy. Total cross sections are well reproduced by using simple functional form.

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