Analytical Expressions for the Differential Elastic Scattering Cross Sections of Nonidentical Nuclear Particles with Channel Spins 3/2 and 5/2

In this paper, general analytical expressions are obtained for the differential elastic scattering cross sections of two nuclear particles with allowance for spin-orbit splitting for channels with the half-integer spins 3/2 and 5/2, which are parameterized with respect to the orbital quantum number...

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Veröffentlicht in:Russian physics journal 2019-06, Vol.62 (2), p.232-241
Hauptverfasser: Tkachenko, A. S., Burkova, N. A., Dubovichenko, S. B.
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Burkova, N. A.
Dubovichenko, S. B.
description In this paper, general analytical expressions are obtained for the differential elastic scattering cross sections of two nuclear particles with allowance for spin-orbit splitting for channels with the half-integer spins 3/2 and 5/2, which are parameterized with respect to the orbital quantum number l. This representation makes it possible to take into account explicitly a definite, energy-dependent number of scattering partial waves and to consider the relative contribution of each partial wave. The obtained expressions can be used when performing phase shift analysis in elastic scattering of nonidentical particles, for example, N 2 H, N 6 Li, 2 H 7 Li, and 2 H 9 Be at low energies.
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subjects Condensed Matter Physics
Elastic analysis
Elastic scattering
Exact solutions
Hadrons
Heavy Ions
Lasers
Mathematical analysis
Mathematical and Computational Physics
Nuclear particles
Nuclear Physics
Optical Devices
Optics
Particle spin
Photonics
Physics
Physics and Astronomy
Quarks
Scattering cross sections
Theoretical
title Analytical Expressions for the Differential Elastic Scattering Cross Sections of Nonidentical Nuclear Particles with Channel Spins 3/2 and 5/2
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