Skip to main content
SpringerLink
Log in

Dynamic Polarizability for Metastable Helium in Debye Plasmas

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

Abstract

The dynamic dipole polarizability (DDP) for metastable helium in plasma environments has been studied recently (Kar et al. in Phys Plasmas 23:082119, 2016) by incorporating plasma screening effect on electron–nucleus interactions. In this work, we investigate the DDP for metastable helium immersed in Debye plasmas using screening effects on both electron–nucleus and electron–electron interactions. The dynamic dipole polarizabilities for the \(n\,{}^{1}\hbox {S}\,(n=2,3)\) and \(n\,{}^{3}\hbox {S}\,(n=2,3)\) states are reported as functions of Debye screening parameter. First tune-out wavelengths for the \(n\,{}^{1}\hbox {S}\,(n=1,2,3)\) and \(n\,{}^{3}\hbox {S}\,(n=2,3)\) states and magic wavelengths for the \(2\,{}^{3}\hbox {S} \rightarrow 3\,{}^{3}\hbox {S}\) transition are also reported in terms of Debye screening parameter. Magic wavelengths in screening environments are presented 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. S. Sen, P. Mandal, P.K. Mukherjee, Hyperpolarizability of two electron atoms under spherically confined Debye plasma. Phys. Plasmas 19, 033501 (2012)

    Article  ADS  Google Scholar 

  2. S. Kar, Dynamic dipole polarizability of the helium atom with Debye–Hückel potentials. Phys. Rev. A 86, 062516 (2012)

    Article  ADS  Google Scholar 

  3. H.W. Li, S. Kar, Polarizabilities of Li and Na in Debye plasmas. Phys. Plasmas 19, 073303 (2012)

    Article  ADS  Google Scholar 

  4. S. Sen, P. Mandal, P.K. Mukherjee, B. Fricke, Hyperpolarizabilities of one and two electron ions under strongly coupled plasma. Phys. Plasmas 20, 013505 (2013)

    Article  ADS  Google Scholar 

  5. S. Kar, H.W. Li, P. Jiang, Dynamic dipole polarizabilities of \({\rm H}^{-}\) and \({\rm Ps}^{-}\) in weakly coupled plasmas. Phys. Plasmas 20, 083302 (2013)

    Article  ADS  Google Scholar 

  6. S. Kar, H.W. Li, Z.C. Shen, Dispersion coefficients for interactions among H, Li, Na, K atoms with Debye–Hückel potentials. J. Quant. Spectrosc. Radiat. Transf. 116, 34–40 (2013)

    Article  ADS  Google Scholar 

  7. Y.Y. Qi, L.N. Ning, Dynamic processes and polarizability of sodium atom in Debye plasmas. Phys. Plasmas 21, 033301 (2014)

    Article  ADS  Google Scholar 

  8. S.K. Chaudhuri, P.K. Mukherjee, B. Fricke, Hyperpolarizability of two electron atoms under exponential cosine screened coulomb potential. Phys. Plasmas 22, 123120 (2015)

    Article  ADS  Google Scholar 

  9. S. Kar, Y.S. Wang, Y. Wang, Z. Jiang, Tune-out wavelengths for helium atom in plasma environments. Phys. Plasmas 23, 082119 (2016)

    Article  ADS  Google Scholar 

  10. R. Zimmermann, The Green’s function of the Debye potential: evaluation of the ground-state polarizability. J. Phys. B 18, 2817–25 (1985)

    Article  ADS  Google Scholar 

  11. M. Friedman, A. Rabinovitch, R. Thieberger, Field-dependent polarizability calculation in a Debye potential. J. Phys. B 19, L727–30 (1986)

    Article  ADS  Google Scholar 

  12. B. Saha, P.K. Mukherjee, G.H.F. Diercksen, Energy levels and structural properties of compressed hydrogen atom under Debye screening. Astron. Astrophys. 108, 337–44 (2002)

    Article  ADS  Google Scholar 

  13. B. Saha, P.K. Mukherjee, D. Bielinńska-Waz, J. Karwowski, Time-dependent perturbation calculations for transition properties of two-electron atoms under Debye plasmas. J. Quant. Spectrosc. Radiat. Transf. 78, 131–7 (2003)

    Article  ADS  Google Scholar 

  14. S. Kar, Y.K. Ho, Bound states and dipole polarizability of hydrogen molecular ion \({\rm H}_{2}^{+}\) in weakly coupled hot plasmas. Phys. Lett. A 368, 476–479 (2007)

    Article  ADS  Google Scholar 

  15. S. Kar, Y.K. Ho, Oscillator strengths and polarizabilities of the hot-dense plasma embedded helium atom. J. Quant. Spectrosc. Radiat. Transf. 109, 445–452 (2008)

    Article  ADS  Google Scholar 

  16. S. Kar, Y.K. Ho, Multipole polarizabilities of helium and the hydrogen negative ion with Coulomb and screened Coulomb potentials. Phys. Rev. A 80, 062511 (2009)

    Article  ADS  Google Scholar 

  17. M.L. Angel, H.E. Montgomery Jr., \({\rm H}_{2}^{+}\) embedded in a Debye plasma: electronic and vibrational properties. Phys. Lett. A 375, 1812–1816 (2011)

    Article  ADS  Google Scholar 

  18. S. Kar, Y.S. Wang, W.Q. Li, X.D. Sun, Dynamic polarizability of two-electron ions under Debye screening. Int. J. Quantum Chem. 115, 1573–79 (2015)

    Article  Google Scholar 

  19. S. Ichimaru, Plasma Physics (Benjamin/Cummings, Menlo Park, 1986), p. 5

    Google Scholar 

  20. D. Salzman, Atomic Physics in Hot Plasmas (Oxford University, New York, 1998), p. 19

    Google Scholar 

  21. A.N. Sil, S. Canuto, P.K. Mukherjee, Spectroscopy of confined atomic systems: effect of plasma. Adv. Quantum Chem. 58, 115–175 (2009)

    Article  Google Scholar 

  22. S. Kar, Y.K. Ho, Effect of screened Coulomb potentials on the resonance states of two-electron highly stripped atoms using the stabilization method. J. Phys. B: At. Mol. Opt. Phys. 42, 044007 (2009)

    Article  ADS  Google Scholar 

  23. B.M. Henson, R.I. Khakimov, R.G. Dall, K.G.H. Baldwin, L.Y. Tang, A.G. Truscott, Precision measurement for metastable helium atoms of the 413 nm tune-out wavelength at which the atomic polarizability vanishes. Phys. Rev. Lett. 115, 043004 (2015)

    Article  ADS  Google Scholar 

  24. Y.H. Zhang, L.Y. Tang, X.Z. Zhang, T.Y. Shi, Dynamic dipole polarizabilities for the low-lying triplet states of helium. Phys. Rev. A 92, 012515 (2015)

    Article  ADS  Google Scholar 

  25. J. Mitroy, L.Y. Tang, Tune-out wavelengths for metastable helium. Phys. Rev. A 88, 8176–8183 (2013)

    Google Scholar 

  26. Y.B. Tang, H.X. Qiao, T.Y. Shi, J. Mitroy, Dynamic polarizabilities for the low-lying states of \({\rm Ca}^{+}\). Phys. Rev. A 87, 042517 (2013)

    Article  ADS  Google Scholar 

  27. C.D. Herold, V.D. Vaidya, X. Li, S.L. Rolston, J.V. Porto, M.S. Safronova, Precision measurement of transition matrix elements via light shift cancellation. Phys. Rev. Lett. 109, 243003 (2012)

    Article  ADS  Google Scholar 

  28. M.S. Safronova, U.I. Safronova, C.W. Clark, Magic wavelengths for optical cooling and trapping of lithium. Phys. Rev. A 86, 042505 (2012)

    Article  ADS  Google Scholar 

  29. R.P.M.J.W. Notermans, R.J. Rengelink, K.A.H. van Leeuwen, W. Vassen, Magic wavelengths for the \(2\,{}^{3}{\rm S} \rightarrow 2\,{}^{1}{\rm S}\) transition in helium. Phys. Rev. A 90, 052508 (2014)

    Article  ADS  Google Scholar 

  30. J. Mitroy, M.S. Safronova, C.W. Clark, Theory and applications of atomic and ionic polarizabilities. J. Phys. B: At. Mol. Opt. Phys. 43, 202001 (2010)

    Article  ADS  Google Scholar 

  31. V.E. Chernov, D.L. Dorofeev, I.Y. Kretinin, B.A. Zon, Dynamic polarizabilities of atoms in their low-excited states: He, Be, Mg and Ca. J. Phys. B: At. Mol. Opt. Phys. 38, 2289 (2005)

    Article  ADS  Google Scholar 

  32. M.K. Chen, Dipole polarizabilities of the 1, \(2\,{}^{1}{\rm S}\) and \(2\,{}^{3}{\rm S}\) states of the helium sequence. J. Phys. B: At. Mol. Opt. Phys. 28, 1349–1355 (1995)

    Article  ADS  Google Scholar 

  33. M.K. Chen, Dispersion coefficients for 1, \(2\,{}^{ 1}{\rm S}\) and \(2\,{}^{3}{\rm S}\) helium dimers. J. Phys. B: At. Mol. Opt. Phys. 28, 4189–4195 (1995)

    Article  ADS  Google Scholar 

  34. C.R. Ekstrom, J. Schmiedmayer, M.S. Chapman, T.D. Hammond, D.E. Pritchard, Measurement of the electric polarizability of sodium with an atom interferometer. Phys. Rev. A 51, 3883–3888 (1995)

    Article  ADS  Google Scholar 

  35. M. Rérat, M. Caffarel, C. Pouchan, Dynamic polarizabilities and van der Waals coefficients of the \(2\,{}^{1}{\rm S}\) and \(2\,{}^{3}{\rm S}\) metastable states of helium. Phys. Rev. A 48, 161–165 (1993)

    Article  ADS  Google Scholar 

  36. D.A. Crosby, J.C. Zorn, Dipole polarizability of \(2\,{}^{3}{\rm S}_{1}\) and \(2\,{}^{1}{\rm S}_{0}\) metastable helium measured by the electric deflection time-of-flight method. Phys. Rev. A 16, 488–491 (1977)

    Article  ADS  Google Scholar 

  37. R.M. Glover, F. Weinhold, Dynamic polarizabilities of metastable \(2\,{}^{1,3}{\rm S}\) excited states of He and \({\rm Li}^{+}\) with rigorous upper and lower bounds. J. Chem. Phys. 66, 185 (1977)

    Article  ADS  Google Scholar 

  38. K.T. Chung, Dynamic polarizability of the \(2\,{}^{3}{\rm S}_{1}\) and \(2\,{}^{1}{\rm S}_{0}\) states of helium. Phys. Rev. A 15, 1347–1348 (1977)

    Article  ADS  Google Scholar 

  39. R.W. Molof, H.L. Schwartz, T.M. Miller, B. Bederson, Measurements of electric dipole polarizabilities of the alkali-metal atoms and the metastable noble-gas atoms. Phys. Rev. A 10, 1131–1140 (1974)

    Article  ADS  Google Scholar 

  40. G.W.F. Drake, Helium quench radiation and transition polarizability. Can. J. Phys. 50, 1896–1902 (1972)

    Article  ADS  Google Scholar 

  41. T.C. Killan, T. Pattard, T. Pohl, J.M. Rost, Ultracold neutral plasmas. Phys. Rep. 449, 77–130 (2007)

    Article  ADS  Google Scholar 

  42. C.K. Au, R.J. Drachman, van der Waals forces, sum rules, and pseudostate expansions. Phys. Rev. A 37, 1115–1120 (1988)

    Article  ADS  Google Scholar 

  43. R.J. Drachman, A.K. Bhatia, A.A. Shabazz, Two-photon transitions in hydrogen: a test of pseudostate summation. Phys. Rev. A 42, 6333–6335 (1990)

    Article  ADS  Google Scholar 

  44. S. Dai, A. Solovyova, P. Winkler, Calculations of properties of screened He-like systems using correlated wave functions. Phys. Rev. E 64, 016408 (2001)

    Article  ADS  Google Scholar 

  45. P. Serra, S. Kais, Ground-state stability and criticality of two-electron atoms with screened Coulomb potentials using the B-splines basis set. J. Phys. B 45, 235003–235008 (2012)

    Article  ADS  Google Scholar 

  46. Z. Jiang, S. Kar, Y.K. Ho, Energies and transition wavelengths for Li II, Be III, B IV, C V embedded in Debye plasmas. Phys. Plasmas 19, 033301 (2012)

    Article  ADS  Google Scholar 

  47. H.W. Li, S. Kar, Plasma screening effects on resonant Compton scattering of photons by excited hydrogenic ions in Lorentzian plasmas. Eur. Phys. J. D 66, 304 (2012)

    Article  ADS  Google Scholar 

  48. S. Sen, P. Mandal, P.K. Mukherjee, Positronium formation in positron-helium collisions with a screened Coulomb interaction. Eur. Phys. J. D 66, 230 (2012)

    Article  ADS  Google Scholar 

  49. O. Čertík, P. Winkler, Computation of screened two-electron matrix elements. Int. J. Quantum Chem. 113, 2012–2018 (2013)

    Article  Google Scholar 

  50. L.G. Jiao, Y.K. Ho, Doubly excited P-wave resonance states of \({\rm H}^{-}\) in Debye plasmas. Phys. Plasmas 20, 83303 (2013)

    Article  Google Scholar 

  51. A.F. Ordóñezlasso, J.C. Cardona, J.L. Sanzvicario, Feshbach projection approach to study plasma effects on doubly excited autoionizing states in helium. Phys. Rev. A 88, 012702 (2013)

    Article  ADS  Google Scholar 

  52. S. Bhattacharyya, J.K. Saha, T.K. Mukherjee, P.K. Mukherjee, Precise estimation of the energy levels of two-electron atoms under spherical confinement. Phys. Scr. 87, 065305 (2013)

    Article  ADS  Google Scholar 

  53. P. Jiang, S. Kar, Quadrupole oscillator strengths of helium interacting with Debye potentials. Few Body Syst. 54, 1791–1797 (2013)

    Article  ADS  Google Scholar 

  54. D.H. Ki, Y.D. Jung, Characteristics of the dynamic shielding on the Wannier-ridge electron escapes by electron impact in weakly coupled plasmas. Phys. Plasmas 20, 033302 (2013)

    Article  ADS  Google Scholar 

  55. S. Dutta, J.K. Saha, S. Bhattacharyya et al., Exotic systems under screened Coulomb interactions: a study on Borromean windows. Phys. Scr. 89, 015401 (2014)

    Article  ADS  Google Scholar 

  56. S. Kar, Y. Wang, Z. Jiang, S. Li, K. Ratnavelu, Doubly-excited \(^{1,3}{\rm D}^{{\rm e}}\) resonance states of two-electron positive ions \({\rm Li}^{+}\) and \({\rm Be}^{2+}\) in Debye plasmas. Phys. Plasmas 21, 02105 (2014)

    Article  ADS  Google Scholar 

  57. L.M.B.C. Campos, F.J.P. Lau, On the Debye–Hückel effect of electric screening. Phys. Plasmas 21, 072109 (2014)

    Article  ADS  Google Scholar 

  58. L.U. Ancarani, K.V. Rodriguez, Correlated expansions of \({\rm n}\,{}^{1}{\rm S}\), and \({\rm n}\,{}^{3}{\rm S}\) states for two-electron atoms in exponential cosine screened potentials. Phys. Rev. A 89, 012507 (2014)

    Article  ADS  Google Scholar 

  59. M.K. Pandey, Y.C. Lin, Y.K. Ho, An investigation of antiprotons collisions with positronium atom in Debye plasma environments. Phys. Plasmas 22, 052104 (2015)

    Article  ADS  Google Scholar 

  60. S. Kar, Z. Jiang, Energies and transition wavelengths for two-electron atoms under Debye screening. At. Data Nucl. Data Tables 102, 42–63 (2015)

    Article  ADS  Google Scholar 

  61. Z. Jiang, Y.Z. Zhang, S. Kar, Resonances in positron-hydrogen scattering in dense quantum plasmas. Phys. Plasmas 22, 052105 (2015)

    Article  ADS  Google Scholar 

  62. X.Q. Hu, Y. Wang, Z. Jiang, P. Jiang, S. Kar, Doubly excited \(^{3}{\rm P}^{{\rm e}}\) resonance states of two-electron positive ions in Debye plasmas. Phys. Plasmas 22, 112107 (2015)

    Article  ADS  Google Scholar 

  63. S. Dutta, J.K. Saha, R. Chandra, T.K. Mukherjee, Structural properties of lithium atom under weakly coupled plasma environment. Phys. Plasmas 23, 042107 (2016)

    Article  ADS  Google Scholar 

  64. Y.K. Ho, S. Kar, High-lying doubly excited resonances in \({\rm Ps}^{-}\) interacting with screened Coulomb potentials. Chin. J. Phys. 53, 574 (2016)

    Article  Google Scholar 

  65. G. Livadiotis, Introduction to special section on origins and properties of kappa distributions: statistical background and properties of kappa distributions in space plasmas. J. Geophys. Res.: Space Phys 120, 1607–1619 (2015)

    Article  ADS  Google Scholar 

  66. G. Livadiotis, Kappa distribution in the presence of a potential energy. J. Geophys. Res.: Space Phys. 120, 880–903 (2015)

    Article  ADS  Google Scholar 

  67. G. Livadiotis, D.J. McComas, Understanding kappa distributions: a toolbox for space science and astrophysics. Space Sci. Rev. 175, 183–214 (2013)

    Article  ADS  Google Scholar 

  68. P. Jiang, S. Kar, Y. Zhou, Doubly excited states of the hydrogen negative ion and helium atom in astrophysical plasmas. Phys. Plasmas 20, 012105 (2013)

    Article  Google Scholar 

  69. P. Jiang, S. Kar, Y. Zhou, Doubly-excited states of two-electron systems in lorentzian astrophysical plasmas. Few Body Syst. 54, 1911–1919 (2013)

    Article  ADS  Google Scholar 

  70. V. Pierrard, M. Lazar, Kappa distributions: theory and applications in space plasmas. Sol. Phys. 267, 153–174 (2010)

    Article  ADS  Google Scholar 

  71. S. Kar, Y.K. Ho, Bound states of helium atom in dense plasmas. Int. J. Quantum Chem. 106, 814–822 (2006)

    Article  ADS  Google Scholar 

  72. S. Kar, Y.K. Ho, Electron affinity of the hydrogen atom and a resonance state of the hydrogen negative ion embedded in Debye plasmas. New J. Phys. 7, 141 (2005)

    Article  ADS  Google Scholar 

  73. S. Kar, Y.K. Ho, Autoionizing \(^{1}{\rm S}^{{\rm e}}\) resonance of \({\rm H}^{-}\) in Debye plasma environments. Phys. Rev. E 70, 066411 (2004)

    Article  ADS  Google Scholar 

  74. P.K. Mukherjee, J. Karwowski, G.H.F. Diercksen, On the influence of the Debye screening on the spectra of two-electron atoms. Chem. Phys. Lett. 363, 323–327 (2002)

    Article  ADS  Google Scholar 

  75. S. Kar, Y.K. Ho, Calculations of D-wave bound states and resonance states of the screened helium atom using correlated exponential wave functions. Int. J. Quantum Chem. 110, 993–1002 (2010)

    ADS  Google Scholar 

  76. G.W.F. Drake, (ed.) in Springer Handbooks of Atomic, Molecular, and Optical Physics (Springer, New York, 2005), p. 205

Download references

Author information

Authors and Affiliations

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

    Sabyasachi Kar, Yu-Shu Wang & Yang Wang

  2. College of Physical Science and Technology, Heilongjiang University, Harbin, 150080, People’s Republic of China

    Zishi Jiang

Authors
  1. Sabyasachi Kar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu-Shu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zishi Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sabyasachi Kar.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kar, S., Wang, YS., Wang, Y. et al. Dynamic Polarizability for Metastable Helium in Debye Plasmas. Few-Body Syst 58, 14 (2017). https://doi.org/10.1007/s00601-016-1177-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00601-016-1177-y

Search

Navigation