Moments of dipole oscillator-strength distribution for the helium sequence

Abstract

The moments S( mu ) for -6<or= mu <or=2 and L( mu ) for mu =0, 1 and 2 are calculated for the helium sequence for atomic numbers Z up to 30 under a screened hydrogenic model. In this model, one describes the atom by single-particle hydrogenic wavefunctions and treats the initial and the final state as characterised by two different effective charge parameters Zi and Zf, respectively. An asymptotic expansion is made of the differential oscillator strength of the screened hydrogenic model. Assuming the value 287.6 for the coefficient of the term in -7/2 for helium atom as given by Salpeter et al. (1962), the parameter Zf is determined for the helium sequence. This approach has resulted in values which are in reasonable agreement with the various moment values of other authors.