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Empirical Parameterization of Nucleon-Nucleon Scattering Amplitude at High Energies for Glauber Calculations and Monte Carlo Simulations | | V. Uzhinsky
; A. Galoyan
; Q. Hu
; J. Ritman
; H. Xu
; | | Date: |
15 Mar 2016 | | Abstract: | Parameterization of the nucleon-nucleon elastic scattering amplitude is
needed for future experiments with nucleon and nuclear beams in the kinetic
energy range 1 - 50 GeV/nucleon. The amplitude is used in Glauber calculations
of various cross sections and Monte Carlo simulations of nucleon-nucleon
scatterings. Usually, the differential nucleon-nucleon elastic scattering cross
sections are described by an exponential expression. Fitting corresponding
experimental data on $pp$ interactions at $|t|>$ 0.005 (GeV/c)$^2$ and
$|t|leq$ 0.125 (GeV/c)$^2$ we have found parameters of the expression and
propose formulae for approximations of their energy dependencies in the
considered energy range. The same was done for $np$ interactions at $|t|leq$
0.5 (GeV/c)$^2$. Expressions for the energy dependence of the total and elastic
cross sections, and the ratio of real to imaginary parts of the amplitude at
zero momentum transfer are also given for $pp$ and $np$ collisions. It is
sufficient for the Glauber calculations in a first approximation. For more
exact calculations we fit the data at $|t|>$ 0.005 (GeV/c)$^2$ without
restrictions on maximum value of $|t|$ using a two coherent exponential
expression. The parameters of the fits are found for the energy range 1.5 - 50
GeV. | | Source: | arXiv, 1603.4731 | | Services: | Forum | Review | PDF | Favorites | |
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