Probabilities of radiative dipole transitions of parahelium in an electric field

Abstract

Quadratic Stark corrections to the wave functions, matrix elements, and probabilities of transitions between the singlet states 1S0 and 1P1 of helium atoms are calculated. The coefficients of the polynomials that depend on the effective principal quantum number of the upper level vf and that approximate the numerical values of the polarizabilities, the quadratic corrections to the wave functions, and the probabilities of transitions to highly excited Rydberg states with large vf are determined. The results of calculations testify that the probabilities of all σ transitions ni1S0 → nf1P1 and π transitions to the states with nf > ni/2 are decreased with increasing electric field strength, except for the transition 21S0 → 21P1, whose probability increases both for σ and for π transitions.