Abstract
A parametrization 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 . There are many parametrizations of the amplitude at 25–50 , and at . Our paper is aimed at covering the range between 5–50 . 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 interactions at 0.005 and have been fit. We propose formulas to approximate the beam momentum dependence of these parameters in the momentum range considered. The same was done for interactions at (). 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 and collisions. These results are sufficient for a first approximation of the Glauber calculations. For more exact calculations we fit the data at without restrictions on the maximum value of using an expression based on two coherent exponentials. The parameters of the fits are found for the beam momentum range 2–50 .
3 More- Received 16 March 2016
- Revised 13 July 2016
DOI:https://doi.org/10.1103/PhysRevC.94.064003
©2016 American Physical Society