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Open AccessArticle

Calculations of Resonance Parameters for the Doubly Excited 1P° States in Ps Using Exponentially Correlated Wave Functions

by Sabyasachi Kar 1,* and Yew Kam Ho 2
1
Department of Physics, Harbin Institute of Technology, Harbin 150001, China
2
Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 106, Taiwan
*
Author to whom correspondence should be addressed.
Received: 28 November 2019 / Revised: 20 December 2019 / Accepted: 27 December 2019 / Published: 31 December 2019
(This article belongs to the Special Issue Interactions of Positrons with Matter and Radiation)
Recent observations on resonance states of the positronium negative ion (Ps) in the laboratory created huge interest in terms of the calculation of the resonance parameters of the simple three-lepton system. We calculate the resonance parameters for the doubly excited 1P° states in Ps using correlated exponential wave functions based on the complex-coordinate rotation method. The resonance energies and widths for the 1P° Feshbach resonance states in Ps below the N = 2, 3, 4, 5 Ps thresholds are reported. The 1P° shape resonance above the N = 2, 4 Ps thresholds are also reported. Our predications are in agreement with the available results. Few Feshbach resonance parameters below the N = 4 and 5 Ps thresholds have been reported in the literature. Our predictions will provide useful information for future resonance experiments in Ps. View Full-Text
Keywords: positronium negative ion; Feshbach and shape resonance states; correlated exponential wave functions; complex-coordinate rotation method positronium negative ion; Feshbach and shape resonance states; correlated exponential wave functions; complex-coordinate rotation method
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Kar, S.; Ho, Y.K. Calculations of Resonance Parameters for the Doubly Excited 1P° States in Ps Using Exponentially Correlated Wave Functions. Atoms 2020, 8, 1.

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