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Doubly Excited 1,3 P e Resonance States of the Positronium Negative Ion with Coulomb and Screened Coulomb Potentials

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Abstract

We have investigated the doubly excited 1,3 P e resonance states of positronium negative ion with Coulomb and screened Coulomb potentials using highly accurate correlated exponential wavefunctions. For Coulomb interaction, the stabilization and the complex-rotation methods are employed to extract resonance parameters (resonance positions and widths). We have obtained two 1 P e resonances and three 3 P e resonances below the n = 3 Ps threshold. In addition to Feshbach resonances lying below n = 3 Ps threshold, we have calculated one 3 P e shape resonances lying above the Ps (n = 2) threshold. For screened Coulomb (Yukawa) interaction, we employ the stabilization method to extract resonance parameters as functions screening parameter. The resonance energies and widths for 1,3 P e resonance states of Ps− below the n = 3 Ps threshold for different screening parameters ranging from infinity (Coulomb case) to small values are reported, along with the Ps(3S) and Ps(3P) threshold energies. The screened Coulomb results for the 1,3 P e resonance states are reported for the first time in the literature.

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Authors and Affiliations

  1. Center for Theoretical Atomic and Molecular Physics, Harbin Institute of Technology, The Academy of Fundamental and Interdisciplinary Sciences, 150080, Harbin, People’s Republic of China

    Sabyasachi Kar

  2. Institute of Atomic and Molecular Sciences, Academia Sinica, PO Box 23-166, 106, Taipei, Taiwan, People’s Republic of China

    Y. K. Ho

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  1. Sabyasachi Kar
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  2. Y. K. Ho
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Correspondence to Sabyasachi Kar.

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Kar, S., Ho, Y.K. Doubly Excited 1,3 P e Resonance States of the Positronium Negative Ion with Coulomb and Screened Coulomb Potentials. Few-Body Syst 46, 173–181 (2009). https://doi.org/10.1007/s00601-009-0055-2

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  • DOI: https://doi.org/10.1007/s00601-009-0055-2

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