Abstract
We present an investigation of resonances with natural and unnatural parities in positron scattering with atomic hydrogen. The complex scaling method has been used. Resonance states for natural parity with total angular momenta and unnatural parity with are calculated. Resonance energies and widths are reported and compared with other theoretical calculations.
Highlights
Over the past few decades, the study of resonance phenomena in positron–hydrogen systems has gained interest [1,2,3,4,5,6,7,8]
Ho and Yan [4, 8] comprehensively analyzed high-partial-wave resonances in positron– hydrogen scattering using the complex-coordinate rotation method. They used Hylleraas type wave functions, in which the coordinates of the positronium atom were included explicitly. Both resonances with natural parity π = (−1)J, where J is the total angular momentum of the system, and resonance states with unnatural parity π = (−1)J+1 are of interest
Most of the resonances are comparable with those found in literature, which are reproduced in these tables
Summary
Over the past few decades, the study of resonance phenomena in positron–hydrogen systems has gained interest [1,2,3,4,5,6,7,8] These resonances could play an important role in the production of anti-hydrogen atoms through rearrangement scattering of positronium (Ps) by anti-protons [10]. Ho and Yan [4, 8] comprehensively analyzed high-partial-wave resonances in positron– hydrogen scattering using the complex-coordinate rotation method They used Hylleraas type wave functions, in which the coordinates of the positronium atom were included explicitly. Both resonances with natural parity π = (−1)J, where J is the total angular momentum of the system, and resonance states with unnatural parity π = (−1)J+1 are of interest.
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