Calculation of matrix elements of π± -meson scattering by He isotopes in the Glauber theory
Keywords:
Glauber theory, multiple collision, matrix elements, π-meson, three-particle wave function, shell wave function, differential scattering cross sectionAbstract
Within the framework of the Glauber diffraction theory calculated scattering matrix elements of π-mesons isotopes helium nucleus: 6He and 8He. The interaction π-mesons with nuclei are presented as a series of multiple scattering. This approach allows for such processes explicitly take into account the multiplicity of different collisions and their contribution to the total differential cross section for the reaction. For a description of the internal state of the 6He nucleus using well proven realistic three-particle wave function in αnn-model, and for the 8He nucleus - shell function with a large basis. It is important to note that with this approach it is possible to calculate all matrix elements analytically without any simplifications, and thus without loss of accuracy inevitable for numerical integration.
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