Abstract

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 method is applied to the analytical calculation of the nucleus-nucleus elastic scattering amplitudes in the all interaction orders of the Glauber theory.

Highlights

  • The theory of nucleus-nucleus interaction is an important aspect of a long-standing multiple-scattering problem

  • It has proven to be highly efficient for the hadron-nucleus collision, supplying rather simple analytical expressions for the scattering amplitudes

  • Assuming the range of nucleon-nucleon interaction to be small compared to the typical nucleus size we have derived the analytical expression for the generating function giving the Glauber amplitudes for nucleus-nucleus scattering

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Summary

INTRODUCTION

The theory of nucleus-nucleus interaction is an important aspect of a long-standing multiple-scattering problem. It has acquired a modern impetus from the large number of the currently available experimental data It has proven to be highly efficient for the hadron-nucleus collision, supplying rather simple analytical expressions for the scattering amplitudes. Assuming the range of nucleon-nucleon interaction to be small compared to the typical nucleus size we have derived the analytical expression for the generating function giving the Glauber amplitudes for nucleus-nucleus scattering. Its relatively simple form allows one to reach the same accuracy as that provided with the numerical Monte Carlo calculations without being as time-consuming as they are

SCATTERING AMPLITUDES IN THE GLAUBER THEORY
GENERATING FUNCTION
EXPLICIT EVALUATION OF THE GENERATING FUNCTION
RELATION TO THE KNOWN APPROXIMATIONS
RESULTS
HALO NUCLEI SCATTERING
VIII. CONCLUSION
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