Abstract
We present an investigation of resonances with natural and unnatural parities in the positron-potassium system using the complex scaling method. A model potential is used to represent the interaction between the core and the valence electron. Explicitly correlated Gaussian wave functions are used to represent the correlation effects between the valence electron, the positron and the K+ core. Resonance energies and widths for two partial waves (S- and P-wave) below the excitation thresholds and positronium n = 2 formation threshold are calculated for natural parity. Resonance states for Pe below the excitation threshold and positronium n = 2, 3 formation thresholds are calculated for unnatural parity which has not been previously reported. Below both positronium thresholds we have found a dipole series of resonances, with binding energies scaling in good agreement with exceptions from an analytical calculation. The present results are compared with those in the literature.
Highlights
One of the areas in positron-atom interactions which has attracted considerable interest from both theoreticians and experimentalists is atomic resonances involving positrons
Resonance positions and widths have been compared with other available theoretical results
Reasonable agreement between resonance positions have been found but the widths we have calculated do not match those obtained by the close-coupling method calculation of Ward et al [9]
Summary
One of the areas in positron-atom interactions which has attracted considerable interest from both theoreticians and experimentalists is atomic resonances involving positrons. The first study was performed by Ward et al [9] using the five-state close-coupling method They used a model potential to determine the interaction between the active valence electron and the inert core in their calculations. Kar and Ho [10] have applied the stabilization method to evaluate the resonances in this system They used Hylleraas-type wave functions to represent the correlation effects between the valence electron, the positron, and the core. We have calculated S- and P-wave resonances in the positron-potassium system for natural parity. To extract these results we use the complex scaling method.
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