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Generating function for nucleus-nucleus scattering amplitudes\\ in Glauber theory

25 Sept 2021, 16:25
25m
Oral report Section 2. Experimental and theoretical studies of nuclear reactions. Section 4. Relativistic nuclear physics, elementary particle physics and high-energy physics

Speaker

Dr Andrei Shuvaev (Petersburg Nuclear Physics Institute, Kurchatov National Research Center Gatchina, St. Petersburg 188300, Russia)

Description

A new approach to deal with the scattering amplitudes in Glauber theory
is proposed. It relies on the use of generating function, that has been explicitly
found. The main advantage of the method is in a relatively simple analytical form
that allows to carry out calculations
in the all interaction orders of the Glauber theory.
Until now the only way to do it
without additional approximations is Monte Carlo calculations.

As an example we apply our method to $^{12}C$ -- $^{12}C$
scattering at the energy 950 MeV per nucleon for which
there exist the experimental data. The proposed generating function is appropriate
for any pairs of colliding nucleus regardless their atomic weight.

Primary author

Dr Andrei Shuvaev (Petersburg Nuclear Physics Institute, Kurchatov National Research Center Gatchina, St. Petersburg 188300, Russia)

Co-author

Prof. Yuli Shabelski (Petersburg Nuclear Physics Institute, Kurchatov National Research Center Gatchina, St. Petersburg 188300, Russia)

Presentation materials