Empirical Parameterization of Nucleon-Nucleon Elastic Scattering Amplitude at High Beam Momenta for Glauber Calculations and Monte Carlo Simulations

Abstract

A parameterization of the nucleon-nucleon elastic scattering amplitude is needed for future experiments with nucleon and nuclear beams in the beam momentum range of 2 -- 50 GeV/c/nucleon. There are many parameterizations of the amplitude at $P_{lab}>$ 25--50 GeV/c, and at $P_{lab}\le$ 5 GeV/c. Our paper is aimed to cover the range between 5 -- 50 GeV/c. 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. Corresponding experimental data on $pp$ interactions at $|t|>$ 0.005 (GeV/c)${}^2$ and $|t|\le$ 0.125 (GeV/c)${}^2$ have been fit. We propose formulae to approximate the beam momentum dependence of these parameters in the momentum range considered. The same was done for $np$ interactions at $|t|\le$ 0.5 (GeV/c)${}^2$. Expressions for the momentum 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. These results are sufficient for a first approximation of the Glauber calculations. For more exact calculations we fit the data at $|t|>$ 0.005 (GeV/c)${}^2$ without restrictions on the maximum value of $|t|$ using an expression based on two coherent exponential. The parameters of the fits are found for the beam momentum range 2 -- 50 GeV/c.

14 pages, 10 figures

References in corpus (12)

• Glauber Modeling in High Energy Nuclear Collisions
• Updated analysis of NN elastic scattering to 3 GeV
• The PHOBOS Glauber Monte Carlo
• Elastic pp scattering from the optical point to past the dip: an empirical parametrization from ISR to LHC
• Probing neutron-skin thickness with total reaction cross sections
• Pluto: A Monte Carlo Simulation Tool for Hadronic Physics
• Elastic proton scattering at intermediate energies as a probe of the ${}^{6,8}$He nuclear matter densities
• Extracting the Odderon from $pp$ and $\bar{p}p$ scattering data
• Energy dependence of slope parameter in elastic nucleon-nucleon scattering
• Measurement of the absolute differential cross section of proton-proton elastic scattering at small angles
• Null-test signal for T-invariance violation in $pd$ scattering
• Parametrization of the $\bar{P}P$ Elastic Scattering Differential Cross Section Between 2 GeV/c $\le P_{lab}\le$ 16 GeV/c

Cited by in corpus (1)

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