Calculations of D-wave bound states and resonance states of the screened helium atom using correlated exponential wave functions

摘要

We have investigated the effects of screened Coulomb (Yukawa) potentials on the bound ~(1,3)D states and the doubly excited ~(1,3)De resonance states of helium atom using highly correlated exponential basis functions. The Density of resonance states are calculated using stabilization method. Highly correlated exponential basis functions are used to consider the correlation effect between the charged particles. A total of 18 resonances (nine each for ~1D~e and ~3D~e states) below the n = 2 He~+ threshold has been calculated. For each spin states, this includes four members in the 2pnp series, three members in the 2snd series, and two members in 2pnf series. The resonance energies and widths for various screening parameters ranging from infinity to a small value for these ~(1,3)D~e resonance states are reported along with the bound-excited 1s3d ~(1,3)D state energies. Overall behavior of the spectral profile of 1s3d ~1D state of helium atom due to electron-electron and electron-nucleus screening are also presented. Accurate resonance energies and widths are also reported for He in vacuum.