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Microscopic and conventional optical model analysis of neutron elastic scattering at 21.6 MeV over a wide mass range
Institution:1. Department of Horticultural Science, Yasooj Branch, Islamic Azad University, Yasooj, Iran;2. Kohgiluyeh and Boyerahmad Agricultural and Natural Resources Research and Education Center, Agricultural Research, Education and Extension Organization (AREEO), Yasuj, Iran;3. Department of Agronimy, Yasooj Branch, Islamic Azad University, Yasooj, Iran;4. Department of Toxicology, Food and Agriculture Research Institute, Standard Research Institute, National Standard Organization of Iran, Iran;1. National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI 48824, USA;2. Gesellschaft für Schwerionenforschung, 64291 Darmstadt, Germany;3. Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany;4. Institut für Theoretische Physik II, Universität Erlangen-Nürnberg, Staudtstrasse 7, 91058 Erlangen, Germany;5. Department of Physics, University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom;5. Department of Physics and Astronomy, Vanderbilt University, Nashville, TN 37235, USA;7. Institut für Theoretische Physik, Goethe-Universität, Max-von-Laue-Str. 1, 60438 Frankfurt am Main, Germany;1. Institute of Cell Biophysics, Russian Academy of Sciences, Institutskaya St., 3, 142290 Pushchino, Russia;2. Institute of Theoretical and Experimental Biophysics, Russian Academy of Sciences, Institutskaya St., 3, 142290 Pushchino, Russia;3. Shemyakin-Ovchinnikov Institute of Bioorganic Chemistry, Russian Academy of Sciences, Miklukho-Maklaya St., 16/10, 117997 Moscow, Russia;4. Lomonosov Moscow State University, 119991 Moscow, Russia;1. Helmholtz Centre for Infection Research, Structure and Function of Proteins, Inhoffenstr. 7, 38124 Braunschweig, Germany;2. Institute for Bioscience and Biotechnology Research, University of Maryland, 9600 Gudelsky Drive, Rockville, MD 20850, USA
Abstract:Differential fast neutron elastic scattering angular distributions have been measured at 21.6 MeV for the natural elements Mg, Al, Si, S, Ca, Cr, Fe, Co, Ni, Y, Ce, Pbr (radiogenic lead) and Bi by employing pulsed beam time-of-flight techniques. The energy resolution was about 0.5 MeV (FWHM) throughout the measurements. The experimental data have been analysed in terms of a standard phenomenological spherical optical model. Potential depths and geometrical parameters were determined from individual best fits to the data. Volume integrals of the real and imaginary parts of the potential were calculated using these parameters. A similar technique was utilized to calculate root mean square radii of the real potential, from which radii of point matter distributions were obtained for comparison with α-particle scattering data at 166 MeV and with charge distribution radii from electron scattering.Microscopic folding models for the optical potential according to Jeukenne, Lejeune and Mahaux, Brieva and Rook, and Yamaguchi et al. have been tested by calculating angular distributions, volume integrals and root mean square radii for the real and imaginary potential parts. The results of these calculations are compared with those of the phenomenological analyses. The microscopic potentials have also been intercompared by studying introduced normalizing parameters of the real and imaginary potential parts as well as isovector and isoscalar contributions to the volume integrals.
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