Abstract
In the present work, we report calculations of resonances in the positron-hydrogen system interacting with screened Coulomb potentials using the method of complex scaling together with employing correlated Hylleraas wave functions. Resonances with natural and unnatural parities are investigated. For the natural parity case, resonance parameters (energy and width) for D-wave resonance states with even parity lying below various positronium and hydrogen thresholds up to the H(N = 4) level are determined. For the unnatural parity case, results for P-even and D-odd resonance states with various screened Coulomb interaction strengths are located below different lower-lying Ps and H thresholds.
Highlights
Resonances in positron-hydrogen scattering were predicted by Mittleman [1], as they would exist below the N = 2 excited hydrogen threshold, a result of a dipole potential due to the 2s-2p degeneracy of the hydrogen atom, in a manner similar to that of the counter-part in electron-hydrogen scattering.Later, in a conclusive calculation using the complex scaling method and correlated Hylleraas wave functions in parametric form, Doolen et al reported the lowest S-wave resonance lying below theH(N = 2) threshold [2]
The notation used to describe a resonance reported here is similar to that used in earlier works, such as AT is used for describing a resonance state, where AT denotes the target atom that can be either hydrogen H or positronium Ps, n is the principal quantum number of the threshold state of AT below which the resonance lies, l is the angular momentum of the target atom (H or Ps), and k is the order of appearance of this resonance lying below the threshold of AT
P-wave and D-wave in the positron-hydrogen system interacting with screened Coulomb potentials
Summary
There have been considerable research activities on theoretical calculations of resonances in the positron hydrogen scattering For resonances in positron atom scattering with the target other than the hydrogen atom, considerable theoretical activities have been reported in the literature Resonances in electron-atom scattering with SCP have been investigated in recent years [37,38,39,40,41,42,43]. S-wave [47,48,49] and P-wave [49] resonances (with natural parities) in positron-hydrogen scattering with SCP were calculated. We report a calculation on D-wave resonances with natural parity in e+ -H scattering with SCP.
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