Abstract
A detailed study of positron impact elastic scattering from methane and silane is carried out using a model potential consisting of static and polarization potentials. The static potential for the molecular target is obtained analytically by using accurate Gaussian molecular wavefunctions. The molecular orbitals are expressed as a linear combination of Gaussian atomic orbitals. Along with the analytically obtained static potential, a correlation polarization potential is also added to construct the model potential. Utilizing the model potential, the Schrödinger equation is solved using the partial wave phase shift analysis method, and the scattering amplitude is obtained in terms of the phase shifts. Thereafter, the differential, integrated and total cross sections are calculated. These cross-section results are compared with the previously reported measurements and theoretical calculations.
Highlights
Studies on positron scattering from atoms and molecules are important due to their relevance in understanding different plasma and astronomical environments [1,2]
These differential cross section (DCS) results are compared with the only available measurement of Przybyla et al [12] and theoretical calculation of Jain and Gianturco [16]
In both calculations, the polarization potentials are taken to be the same, and the shift in the position of the minimum of the curves may be due to the different wavefunctions used in both calculations through which the charge densities or the static potentials are obtained in the calculations
Summary
Studies on positron scattering from atoms and molecules are important due to their relevance in understanding different plasma and astronomical environments [1,2]. In the recent review of Brunger et al [6], they mentioned the previously available measurements and theoretical calculations and reported the recommended positron-molecule scattering cross sections. These cross section results are very important in the different positron transport simulations [7,8]. According to Brunger et al [6], there are very few reports on the positron-molecule scattering cross-section results and more experimental and theoretical studies are required in this direction. The scattering cross-section results from such molecules are the basic inputs for the characterization of their plasma
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