Positron scattering and annihilation from helium at low energies

The confined variational method is used to study the elastic scattering of the positron from the ground-state helium with the scattering energy in the range from 0.05 eV to 11.02 eV. Describing the correlation effect with explicitly correlated Gaussians, we obtain accurate phase shifts, S-wave scattering length, elastic scattering cross sections, and annihilation parameters for different incident momenta. Specifically, by a least-squares fit of the data to the effective-range theory, we determine the room temperature annihilation parameter Zeff = 3.955, which is in perfect agreement with the measured result of 3.94 +/- 0.02 [J. Phys. B 8, 1734 (1975)].