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The two-photon detachment of the positronium negative ion.

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Title: The two-photon detachment of the positronium negative ion.
Authors: Mitchell, William1 (AUTHOR) williammitchell3@my.unt.edu, Ward, Sandra J.1 (AUTHOR) Sandra.Quintanilla@unt.edu
Source: European Physical Journal D (EPJ D). May2026, Vol. 80 Issue 5, p1-16. 16p.
Subjects: Positronium, Multiphoton ionization, Variational approach (Mathematics), Rayleigh-Ritz method, Absorption cross sections, Wave functions, Binding energy
Abstract: We present our calculations of the two-photon detachment cross section of the positronium negative ion (Ps - ), in both the length and velocity forms for energies below the Ps( n = 2 ) threshold. We consider both the 1 S and 1 D final states. We employ the Rayleigh–Ritz method to determine the Ps - binding energy and the corresponding 1 S bound-state wave function. We use the complex Kohn variational method to obtain the 1 S and 1 D final-state wavefunctions, and we solve an inhomogeneous differential equation to obtain the 1 P intermediate-state wave function. The 1 S bound-state, 1 P intermediate-state, and final-state wave functions contain Hylleraas functions. We investigate the applicability of the Wigner's and a modified Wigner's threshold laws to the one- and two-photon detachment cross sections of Ps - near the ionization threshold. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal D (EPJ D) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 194640321
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: The two-photon detachment of the positronium negative ion.
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  Data: <searchLink fieldCode="AR" term="%22Mitchell%2C+William%22">Mitchell, William</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> williammitchell3@my.unt.edu</i><br /><searchLink fieldCode="AR" term="%22Ward%2C+Sandra+J%2E%22">Ward, Sandra J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Sandra.Quintanilla@unt.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+D+%28EPJ+D%29%22">European Physical Journal D (EPJ D)</searchLink>. May2026, Vol. 80 Issue 5, p1-16. 16p.
– Name: Subject
  Label: Subjects
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  Data: <searchLink fieldCode="DE" term="%22Positronium%22">Positronium</searchLink><br /><searchLink fieldCode="DE" term="%22Multiphoton+ionization%22">Multiphoton ionization</searchLink><br /><searchLink fieldCode="DE" term="%22Variational+approach+%28Mathematics%29%22">Variational approach (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Rayleigh-Ritz+method%22">Rayleigh-Ritz method</searchLink><br /><searchLink fieldCode="DE" term="%22Absorption+cross+sections%22">Absorption cross sections</searchLink><br /><searchLink fieldCode="DE" term="%22Wave+functions%22">Wave functions</searchLink><br /><searchLink fieldCode="DE" term="%22Binding+energy%22">Binding energy</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We present our calculations of the two-photon detachment cross section of the positronium negative ion (Ps - ), in both the length and velocity forms for energies below the Ps( n = 2 ) threshold. We consider both the 1 S and 1 D final states. We employ the Rayleigh–Ritz method to determine the Ps - binding energy and the corresponding 1 S bound-state wave function. We use the complex Kohn variational method to obtain the 1 S and 1 D final-state wavefunctions, and we solve an inhomogeneous differential equation to obtain the 1 P intermediate-state wave function. The 1 S bound-state, 1 P intermediate-state, and final-state wave functions contain Hylleraas functions. We investigate the applicability of the Wigner's and a modified Wigner's threshold laws to the one- and two-photon detachment cross sections of Ps - near the ionization threshold. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of European Physical Journal D (EPJ D) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1140/epjd/s10053-026-01156-5
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      – Code: eng
        Text: English
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        PageCount: 16
        StartPage: 1
    Subjects:
      – SubjectFull: Positronium
        Type: general
      – SubjectFull: Multiphoton ionization
        Type: general
      – SubjectFull: Variational approach (Mathematics)
        Type: general
      – SubjectFull: Rayleigh-Ritz method
        Type: general
      – SubjectFull: Absorption cross sections
        Type: general
      – SubjectFull: Wave functions
        Type: general
      – SubjectFull: Binding energy
        Type: general
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      – TitleFull: The two-photon detachment of the positronium negative ion.
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            NameFull: Mitchell, William
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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            – TitleFull: European Physical Journal D (EPJ D)
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