Abstract

We report calculations on the total (elastic plus inelastic) positron-scattering cross sections from several diatomic and polyatomic molecules (${\mathrm{H}}_{2}$, ${\mathrm{H}}_{2}$O, ${\mathrm{NH}}_{3}$, ${\mathrm{CH}}_{4}$, ${\mathrm{N}}_{2}$, CO, ${\mathrm{C}}_{2}$${\mathrm{H}}_{2}$, ${\mathrm{O}}_{2}$, ${\mathrm{SiH}}_{4}$, ${\mathrm{CO}}_{2}$, ${\mathrm{N}}_{2}$O, and ${\mathrm{CF}}_{4}$) where experimental data are available. The impact energy (E) range is 10--5000 eV. A local spherical complex optical potential (SCOP) is calculated for each positron-molecule system from the target charge density [\ensuremath{\rho}(r)], which in turn is determined from the corresponding molecular wave function at the Hartree-Fock level. The real part of the SCOP is composed of the repulsive static and attractive positron-correlation-polarization potential of Jain [Phys. Rev. A 39, 2437 (1990)]. The imaginary component of the SCOP, the so-called absorption potential, is derived semiempirically as a function of \ensuremath{\rho}(r), E, and the mean excitation energy. The resulting complex optical potential is treated exactly in a variable-phase approach to yield complex phase shift and the total-cross-section quantities. In this intermediate- and high-energy region, the small contribution due to the nonspherical nature of the target is neglected. In addition, we fit the total-cross-section values to a simple analytic formula. For molecules possessing a permanent dipole or quadrupole moment, the present results are reliable only roughly above 50 eV.

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