Skip to main content
SpringerLink
Log in

Properties of the Positronium Negative Ion Interacting with Exponential Cosine-Screened Coulomb Potentials

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract

The positronium negative ion (Ps −) in exponential cosine-screened Coulomb potentials (ECSCP) has been theoretically investigated. Using highly correlated wave functions with 525 terms we report binding energies, annihilation rates and several other parameters for various values of the screening parameter. Our reported results for the unscreened case are in nice agreement with some of the most accurate results in the literature. Further we make a comparative study of the properties of Ps − in ECSCP with the corresponding properties in screened Coulomb potential (SCP). To the best of our knowledge, such a study on Ps − in ECSCP is carried out for the first time in the literature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Chupp E.L., Forrest D.J., Higbie P.R., Suri A.N., Tsai C., Dunphy P.P.: Solar gamma ray lines observed during the solar activity of August 2 to August 11, 1972. Nature 241, 333 (1972)

    Article  ADS  Google Scholar 

  2. Gehrels, N., Barthelmy, S., Teegarden, B.J., Tueller, J., Leventhal, M., MacCallum, C.J.: Annihilation in Gases and Galaxies. Proc of Workshop held at NASA Goddard Space Flight Center, Greenbelt, Maryland, p. 159 (1989)

  3. Leventhal, M.: 13th Texas Symp on Relativistic Astrophys, p. 382 (1987)

  4. Leventhal M., MacCallum C.J., Barthelmy S.D., Gehrelst N., Teegarden B.J., Tueller J.: Reappearance of the annihilation line source at the galactic centre. Nature 339, 36 (1989)

    Article  ADS  Google Scholar 

  5. Weidenspointner G., Skinner G., Jean P., Knodlseder J., Von Ballmoos P., Bignami G., Diehl R., Strong A.W., Cordier B., Schanne S., Winkler C.: An asymmetric distribution of positrons in the Galactic disk revealed by γ-rays. Nature 451, 159 (2008)

    Article  ADS  Google Scholar 

  6. Ramaty R., Drachman R.J.: The annihilation of galactic positrons. Astrophys. J. 228, 928–934 (1979)

    Article  ADS  Google Scholar 

  7. Purcell W.R.: Book of Abstract of the Workshop on Low-energy Positron and Positronium Physics. Nottingham University, Nottingham (1997)

    Google Scholar 

  8. Wheeler J.A.: Polyelectrons. Ann. NY Acad. Sci. 48, 219–238 (1946)

    Article  ADS  Google Scholar 

  9. Mills A.P. Jr: Observation of the positronium negative ion. Phys. Rev. Lett. 46, 717–720 (1981)

    Article  ADS  Google Scholar 

  10. Mills A.P. Jr: Measurement of the decay rate of the positronium negative ion. Phys. Rev. Lett. 50, 671–674 (1983)

    Article  ADS  Google Scholar 

  11. Frolov A.M.: Positron annihilation in the positronium negative ion Ps −. Phys. Lett. A 342, 430–438 (2005)

    Article  MATH  ADS  Google Scholar 

  12. Frolov A.M.: Natural orbital expansions of highly accurate three-body wavefunctions. J. Phys. B 36, 4837–4848 (2003)

    Article  ADS  Google Scholar 

  13. Frolov A.M.: Two-stage strategy for high-precision variational calculations. Phys. Rev. A 57, 2436–2439 (1998)

    Article  ADS  Google Scholar 

  14. Drake G.W.F., Grigorescu M.: Binding energy of the positronium negative ion: relativistic and QED energy shifts. J. Phys. B 38, 3377–3393 (2005)

    Article  ADS  Google Scholar 

  15. Ho Y.K.: Variational calculation of ground-state energy of positronium negative ions. Phys. Rev. A 48, 4780–4783 (1993)

    Article  ADS  Google Scholar 

  16. Ho Y.K.: Positron annihilation in positronium negative ions. Phys. Lett. A 144, 237–240 (1990)

    Article  ADS  Google Scholar 

  17. Krivec R., Stefan J., Haftel M.I., Mandelzweig V.B.: Precise nonvariational calculation of the two-photon annihilation rate of the positronium negative ion. Phys. Rev. A 47, 911–917 (1993)

    Article  ADS  Google Scholar 

  18. Kar S., Ho Y.K.: Ground state and resonance state of Ps − in plasmas with various Debye lengths. Phys. Rev. A 71, 052503 (2005)

    Article  ADS  Google Scholar 

  19. Kar S., Ho Y.K.: D-wave resonances in three-body system Ps − with pure Coulomb and Screened Coulomb (Yukawa) Potentials. Few Body Syst. 45, 43–49 (2009)

    Article  ADS  Google Scholar 

  20. Ho Y.K.: Autoionization states of the positronium negative ion. Phys. Rev. A 19, 2347–2352 (1979)

    Article  ADS  Google Scholar 

  21. Mezei J.Zs., Kruppa A.T., Varga K.: Charged exciton resonances in two and three dimensions. Few Body Syst. 41, 233–244 (2007)

    Article  ADS  Google Scholar 

  22. Kar S., Ho Y.K.: Positron annihilation in the dense plasma-embedded Ps −. Chem. Phys. Lett. 424, 403–408 (2006)

    Article  ADS  Google Scholar 

  23. Ho Y.K.: Positron annihilation in the positronium negative ion. J. Phys. B 16, 1503–1509 (1983)

    Article  ADS  Google Scholar 

  24. Bhatia A.K., Drachman R.J.: New calculation of the properties of the positronium ion. Phys. Rev. A 28, 2523–2525 (1983)

    Article  ADS  Google Scholar 

  25. Schwalm D., Fleischer F., Lestinsky M., Degreif K., Gwinner G., Liechtenstein V., Plenge F., Scheit H.: Towards a new measurement of the decay rate of the negative positronium ion Ps −. Nucl. Instrum. Meth. B 221, 185–194 (2004)

    Article  ADS  Google Scholar 

  26. Fleischer F., Degreif K., Gwinner G., Lestinsky M., Liechtenstein V., Plenge F., Schwalm D.: Measurement of the decay rate of the negative ion of positronium (Ps −). Phys. Rev. Lett. 96, 063401 (2006)

    Article  ADS  Google Scholar 

  27. Fleischer F., Gwinner G., Hugenschmidt C., Schreckenbach K., Thirolf P., Wolf A., Schwalm D.: The negative ion of positronium: measurement of the decay rate and prospects for further experiments. Can. J. Phys. 85, 487–495 (2007)

    Article  ADS  Google Scholar 

  28. Fleischer F., Degreif K., Gwinner G., Lestinsky M., Liechtenstein V., Plenge F., Scheit H., Schwalm D.: A new measurement of the decay rate of the negative positronium ion: status and preliminary results. Can. J. Phys. 83, 413–423 (2005)

    Article  ADS  Google Scholar 

  29. Balling P., Fregenal D., Ichioka T., Knudsen H., Kristiansen H.-P.E., Merrison J., Uggerhj U.I.: Perspectives for pulsed positrons. Nucl. Instrum. Meth. B 221, 200–205 (2004)

    Article  ADS  Google Scholar 

  30. Nagashima Y., Sakai T.: First observation of positronium negative ions emitted from tungsten surfaces. New. J. Phys. 8, 319 (2006)

    Article  ADS  Google Scholar 

  31. Nagashima Y., Hakodate T., Miyamoto A., Michishio K.: Efficient emission of positronium negative ions from Cs deposited W(100) surfaces. New J. Phys. 10, 123029 (2008)

    Article  ADS  Google Scholar 

  32. Zhang L., Winkler P.: Debye-Huckel screening and fluctuations. Chem. Phys. 329, 338–342 (2006)

    Article  ADS  Google Scholar 

  33. Salzman D.: Atomic Physics in Hot Plasmas. Oxford University Press, Oxford (1998)

    Google Scholar 

  34. Murillo M.S., Weisheit J.C.: Dense plasmas, screened interactions, and atomic ionization. Phys. Rep. 302, 1 (1998)

    Article  ADS  Google Scholar 

  35. Liu L., Wang J.G., Janev R.K.: Dynamics of He 2+ + H(1s) excitation and electron-capture processes in Debye plasmas. Phys. Rev. A 77, 032709 (2008)

    Article  ADS  Google Scholar 

  36. Liu L., Wang J.G., Janev R.K.: Dynamics of He 2+ + H(1s) ionization with screened Coulomb interactions. Phys. Rev. A 77, 042712 (2008)

    Article  ADS  Google Scholar 

  37. Pindzola M.S., Loch S.D., Colgan J., Fontes C.J.: Electron-impact ionization of atoms in high-temperature dense plasmas. Phys. Rev. A 77, 062707 (2008)

    Article  ADS  Google Scholar 

  38. Qi Y.Y., Wang J.G., Janev R.K.: Bound-bound transitions in hydrogenlike ions in Debye plasmas. Phys. Rev. A 78, 062511 (2008)

    Article  ADS  Google Scholar 

  39. Kar S., Ho Y.K.: Photodetachment of the positronium negative ion interacting with screened Coulomb (Yukawa) potentials. Few Body Syst. A 42, 73–81 (2008)

    Article  ADS  Google Scholar 

  40. Ghoshal A., Ho Y.K.: Ground states of helium in exponential-cosine-screened Coulomb potentials. J. Phys. B 42, 075002 (2009)

    Article  ADS  Google Scholar 

  41. Shukla P.K., Eliasson B.: Screening and wake potentials of a test charge in quantum plasmas. Phys. Lett. A 372, 2897–2899 (2008)

    Article  ADS  Google Scholar 

  42. Na S.-C., Jung Y-D.: Oscillatory screening and quantum interference effects on electron collisions in quantum plasmas. Phys. Lett. A 372, 5605–5608 (2008)

    Article  ADS  Google Scholar 

  43. Na S.-C., Jung Y-D.: Quantum oscillatory screening effects on the charge capture process in quantum plasmas. Phys. Scr. 78, 035502 (2008)

    Article  ADS  Google Scholar 

  44. Ghoshal A., Ho Y.K.: Doubly excited resonance states of helium in exponential cosine-screened Coulomb potentials. Phys. Rev. A. 79, 062514 (2009)

    Article  ADS  Google Scholar 

  45. Ghoshal A., Ho Y.K.: Rations of double-to-single photoionization cross sections of helium atom embedded in dense quantum plasmas at high nonrelativistic photon energies. Phys. Plasmas 16, 073302 (2009)

    Article  ADS  Google Scholar 

  46. Ghoshal A., Ho Y.K.: Ground states and doubly excited resonance states of H − embedded in dense quantum plasmas. J. Phys. B 42, 175006 (2009)

    Article  ADS  Google Scholar 

  47. Wackerle J., Stump R.: Annihilation of positrons in liquid helium. Phys. Rev. 106, 18–20 (1957)

    Article  ADS  Google Scholar 

  48. Briscoe C.V., Choi S.-I., Stewart A.T.: Zero-point bubbles in liquids. Phys. Rev. Lett. 20, 493–496 (1968)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei 106, Taiwan, Republic of China

    Arijit Ghoshal & Y. K. Ho

  2. Department of Mathematics, Burdwan University, Golapbag, Burdwan, 713 104, West Bengal, India

    Arijit Ghoshal

Authors
  1. Arijit Ghoshal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. K. Ho
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Arijit Ghoshal.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghoshal, A., Ho, Y.K. Properties of the Positronium Negative Ion Interacting with Exponential Cosine-Screened Coulomb Potentials. Few-Body Syst 46, 249–256 (2009). https://doi.org/10.1007/s00601-009-0072-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-009-0072-1

Keywords

Search

Navigation