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The JEFF – 3.1.1. Nuclear Data Library, OECD NEA/NEA2009; EXFOR 13759.002, J.A.Harvey, D.C.Larson, ORNL, 1974.

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Article

On Theoretical Methodology of Nuclear Reactions and Outcome of Certain Physical Phenomena from Them. II. To the Space-time Description of Cross Sections and Durations of the Neutron-nucleus Scattering Near 1-2 Resonances in the C- and L-systems

1Institute for Nuclear Research of NASU, prospekt Nauki, 47, Kiev-03028, Ukraine


American Journal of Applied Mathematics and Statistics. 2015, Vol. 3 No. 3, 131-141
DOI: 10.12691/ajams-3-3-6
Copyright © 2015 Science and Education Publishing

Cite this paper:
V.S. Olkhovsky. On Theoretical Methodology of Nuclear Reactions and Outcome of Certain Physical Phenomena from Them. II. To the Space-time Description of Cross Sections and Durations of the Neutron-nucleus Scattering Near 1-2 Resonances in the C- and L-systems. American Journal of Applied Mathematics and Statistics. 2015; 3(3):131-141. doi: 10.12691/ajams-3-3-6.

Correspondence to: V.S.  Olkhovsky, Institute for Nuclear Research of NASU, prospekt Nauki, 47, Kiev-03028, Ukraine. Email: olkhovsky@mail.ru

Abstract

It is already known the appearance of time advance (due to distortion by the non-resonant background) instead of the expected time delay in the region of a compound-nucleus resonance in the center-of-mass (C-) system. Here at the same conditions we study cross sections and durations of the neutron-nucleus scattering in the laboratory (L-) system. Here it is shown that such time advance is a virtual paradox but in the L-system the time-advance phenomenon does not occur and only the trivial time delay is observed. At the same time the transformations from C-system into the L-system appeared to be different from the standard kinematical transformations because in the C-system the motion of a compound nucleus is absent but it is present in the L-system. We analyze the initial wave-packet motion (after the collision origin) and the cross section in the laboratory (L-) system. Also here (as physical revelations of profound general methodic and in very good consistent accordance with the experiment) several results of the calculated cross sections for the neutron-nucleus in comparison with the experimental data in the L-system at the range of one or two overlapped compound resonances are presented. It is shown in the space-time approach that the standard kinematical transformations of cross sections from the C-system to the L-system are not valid because it is necessary to consider the center-of-mass motion in the L-system. Finally on a correct self-consistent base of the space-time description of the nuclear processes in the laboratory system with 3 particles in the final channel, it is shown the validity of the former approach, obtained for the space-time description of the nuclear processes with 2-particle channels earlier.

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