Skip to main content
SpringerLink
Log in

Extended Theory of Ionic–Covalent Coupling in Collisions of Rydberg Atoms with Neutral Targets

  • Chapter
  • First Online:
Atomic Processes in Basic and Applied Physics

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics ((SSAOPP,volume 68))

Abstract

The work is devoted to studies of ion-pair formation and resonant-quenching processes in slow collisions between the highly excited atoms and the ground-state atoms with small electron affinities. We elaborate a general approach for the calculation of transition matrix elements between the ionic and Rydberg-covalent states of a diatomic quasimolecular system by using the momentum representation for the highly excited electron wave function and a technique of the nonreduced tensor operators. The key point of our approach is that it allows us to correctly describe the variation of the Rydberg atom wave function in a wide range of electron coordinates, which is determined by the average size of the weakly bound anion wave function. The theory developed provides an efficient way for exact evaluation of the Rydberg-covalent–ionic coupling terms and generalizes the results of previous theories to systems with large characteristic sizes of the interaction potential between the outer electron and the perturbing electron-attaching particle. It is shown that the general expression of the present theory for the ionic–covalent coupling parameter contains some available analytical results of previous works as special cases. Particular attention is paid to the investigation of the effects associated with the long-range part of electron–perturber interaction in the charge transfer processes involving strongly polarizable perturbing atoms with small electron affinities. The results obtained are illustrated by numerical calculations of the ion-pair production processes in slow collisions of Rydberg { Ne}(ns) and { Ne}(nd) atoms with the ground-state alkaline-earth atoms Ba, Sr, and Ca.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. T.F. Gallagher, Rydberg Atoms(Cambridge University Press, Cambridge 1994)

    Google Scholar 

  2. V.S. Lebedev, I.L. Beigman, Physics of Highly Excited Atoms and Ions(Springer, Berlin, 1998)

    Google Scholar 

  3. V.S. Lebedev, Collision Processes of Highly Excited Atoms with Neutral Particles(Cambridge Scientific Publishers, Cambridge, 2004)

    Google Scholar 

  4. L.M. Biberman, V.S. Vorob’ev, I.T. Yakubov, Kinetics of Nonequilibrium Low-Temperature Plasmas(Consultants Bureau, New York, 1987)

    Google Scholar 

  5. V.S. Lisitsa, Atoms in Plasmas(Springer, Berlin, 1994)

    Google Scholar 

  6. I.I. Sobelman, L.A. Vainshtein, E.A. Yukov, Excitation of Atoms and Broadening of Spectral Lines(Springer, Berlin, 1981)

    Google Scholar 

  7. N. Allard, J. Kielkopf, Rev. Mod. Phys. 54, 1103 (1982)

    Google Scholar 

  8. I.L. Beigman, V.S. Lebedev, Phys. Rep. 250, 95 (1995)

    Google Scholar 

  9. P.G. Burke et al. (eds.), Atoms in Astrophysics(Plenum, New York, 1983)

    Google Scholar 

  10. M.A. Gordon, R.L. Sorochenko (eds.), Radio Recombination Lines: 25 years of Investigations(Kluwer, Dordrecht, 1990)

    Google Scholar 

  11. A.P. Hickman, R.E. Olson, J. Pascale, in Rydberg States of Atoms and Molecules, eds. by R.F. Stebbings, F.B. Dunning (Cambridge University Press, Cambridge, 1983), Chap. 6, p. 187

    Google Scholar 

  12. M.R. Flannery, in Rydberg States of Atoms and Molecules, eds. by R.F. Stebbings, F.B. Dunning (Cambridge University Press, Cambridge, 1983) Chap. 11, p. 393

    Google Scholar 

  13. M.R. Flannery, Ann. Phys. (N.Y.) 61, 465 (1970)

    Google Scholar 

  14. M.R. Flannery, Ann. Phys. (N.Y.) 79, 480 (1973)

    Google Scholar 

  15. J.I. Gersten, Phys. Rev. A 14, 1354 (1976)

    Google Scholar 

  16. A. Omont, J. de Phys. 38, 1343 (1977)

    Google Scholar 

  17. J. Derouard, M. Lombardi, J. Phys. B 11, 3875 (1978)

    Google Scholar 

  18. E. de Prunelé, J. Pascale, J. Phys. B 12, 2511 (1979)

    Google Scholar 

  19. A.P. Hickman, Phys. Rev. A 18, 1339 (1978)

    Google Scholar 

  20. A.P. Hickman, Phys. Rev. A 19, 994 (1979)

    Google Scholar 

  21. A.P. Hickman, Phys. Rev. A 23, 87 (1981)

    Google Scholar 

  22. M. Matsuzawa, J. Phys. B 12, 3743 (1979)

    Google Scholar 

  23. K. Sasano, Y. Sato, M. Matsuzawa, Phys. Rev. A 27, 2421 (1983)

    Google Scholar 

  24. Y. Sato, M. Matsuzawa, Phys. Rev. A 31, 1366 (1985)

    Google Scholar 

  25. V.S. Lebedev, V.S. Marchenko, Zh. Eksp. Teor. Fiz. 84, 1623 (1983) [Sov. Phys. - JETP 57, 946 (1983)]

    Google Scholar 

  26. V.S. Lebedev, V.S. Marchenko, Zh. Eksp. Teor. Fiz. 88, 754 (1985) [Sov. Phys. - JETP 61, 443 (1985)]

    Google Scholar 

  27. F. Gounand, L. Petitjean, Phys. Rev. A 30, 61 (1984)

    Google Scholar 

  28. F. Gounand, L. Petitjean, Phys. Rev. A 32, 793 (1985)

    Google Scholar 

  29. B. Kaulakys, J. Phys. B 17, 4485 (1984)

    Google Scholar 

  30. B. Kaulakys, J. Phys. B 18, L167 (1985)

    Google Scholar 

  31. V.S. Lebedev, J. Phys. B 24, 1977 (1991)

    Google Scholar 

  32. V.S. Lebedev, J. Phys. B 24, 1993 (1991)

    Google Scholar 

  33. V.S. Lebedev, J. Phys. B 25, L131 (1992)

    Google Scholar 

  34. V.S. Lebedev, J. Phys. B 31, 1579 (1998)

    Google Scholar 

  35. V.S. Lebedev, I.I. Fabrikant, Phys. Rev. A 54, 2888 (1996)

    Google Scholar 

  36. V.S. Lebedev, I.I. Fabrikant, J. Phys. B 30, 2649 (1997)

    Google Scholar 

  37. E.G. Layton, M.A. Morrison, Phys. Rev. A 63, 052711 (2001)

    Google Scholar 

  38. B.P. Kaulakys, L.P. Presnyakov, P.D. Serapinas, Pis’ma Zh. Eksp. Teor. Fiz. 3060 (1979) [JETP Lett. 30, 53 (1980)]

    Google Scholar 

  39. V.S. Lebedev, V.S. Marchenko, Zh. Eksp. Teor. Fiz. 91, 428 (1986) [Sov. Phys. - JETP 64, 251 (1986)]

    Google Scholar 

  40. V.S. Lebedev, V.S. Marchenko, J. Phys. B 20, 6041 (1987)

    Google Scholar 

  41. V.M. Borodin, A.K. Kazansky, Zh. Eksp. Teor. Fiz. 97, 445 (1990) [Sov. Phys. - JETP 70, 252 (1990)]

    Google Scholar 

  42. V.M. Borodin, A.K. Kazansky, J. Phys. B 25, 971 (1992)

    Google Scholar 

  43. A.Z. Devdariani, A.N. Klucharev, A.V. Lazarenko, V.A. Sheverev, Pis’ma Zh. Tekh. Fiz. 4, 1013 (1978) [Sov. Tech. Phys. Lett. 4, 408 (1978)]

    Google Scholar 

  44. R.K. Janev, A.A. Mihajlov, Phys. Rev. A 21, 819 (1980)

    Google Scholar 

  45. A.A. Mihajlov, R.K. Janev, J. Phys. B 14, 1639 (1981)

    Google Scholar 

  46. E.L. Duman, I.P. Shmatov, Zh. Eksp. Teor. Fiz. 78, 2116 (1980)

    Google Scholar 

  47. M. Matsuzawa, in Rydberg States of Atoms and Molecules, eds. by R.F. Stebbings, F.B. Dunning (Cambridge University Press, Cambridge, 1983) Chap. 8, p. 267

    Google Scholar 

  48. L. Petitjean, F. Gounand, P.R. Fournier, Phys. Rev. A. 30, 71 (1984)

    Google Scholar 

  49. L. Petitjean, F. Gounand, P.R. Fournier, Phys. Rev. A. 30, 736 (1984)

    Google Scholar 

  50. L. Petitjean, F. Gounand, P.R. Fournier, Phys. Rev. A. 33, 143 (1986)

    Google Scholar 

  51. M. Kimura, N.F. Lane, Phys. Rev. A 42, 1258 (1990)

    Google Scholar 

  52. M. Matsuzawa, J. Phys. Soc. Jpn. 32, 1088 (1972)

    Google Scholar 

  53. M. Matsuzawa, J. Phys. Soc. Jpn. 32, 1108 (1972)

    Google Scholar 

  54. F.B. Dunning, R.F. Stebbings, in Rydberg States of Atoms and Molecules, eds. by R.F. Stebbings, F.B. Dunning (Cambridge University Press, Cambridge, 1983), Chap. 9, p. 315

    Google Scholar 

  55. F.B. Dunning, J. Phys. B 28, 1645 (1995)

    Google Scholar 

  56. E. Fermi, Nuovo Cimento 11, 157 (1934)

    Google Scholar 

  57. I.I. Fabrikant, V.S. Lebedev, J. Phys. B 33, 1521 (2000)

    Google Scholar 

  58. C. Desfrançois, Phys. Rev. A 51, 3667 (1995)

    Google Scholar 

  59. I.I. Fabrikant, J. Phys. B 31, 2921 (1998)

    Google Scholar 

  60. I.I. Fabrikant, M.I. Chibisov, Phys. Rev. A 61, 022718 (2000)

    Google Scholar 

  61. L.D. Landau, E.M. Lifshitz, Quantum Mechanics(Pergamon, Oxford, 1977)

    Google Scholar 

  62. E.E. Nikitin, S.Ya. Umansky, Theory of Slow Atomic Collisions(Springer, New York, 1984)

    Google Scholar 

  63. J.B. Delos, Rev. Mod. Phys. 53, 287 (1981)

    Google Scholar 

  64. D.A. Varshalovich, A.N. Moskalev, V.K. Khersonsky, Quantum Theory of the Angular Momentum(World Scientific, Singapore, 1988)

    Google Scholar 

  65. V.S. Lebedev, Zh. Eksp. Teor. Fiz. 103, 50 (1993) [Sov. Phys.-JETP 76, 27 (1993)]

    Google Scholar 

  66. L. Landau, Phys. Z. Sowjetunion 2, 46 (1932)

    Google Scholar 

  67. C. Zener, Proc. R. Soc. A 137, 696 (1932)

    Google Scholar 

  68. V.I. Osherov, Zh. Eksp. Teor. Fiz. 49, 1157 (1965)

    Google Scholar 

  69. M.Ya. Ovchinnikova, Opt. Spektrosk. 17, 822 (1965)

    Google Scholar 

  70. Yu.N. Demkov, Dokl. Acad. Nauk 166, 1076 (1966)

    Google Scholar 

  71. Yu.N. Demkov, V.I. Osherov, Zh. Eksp. Teor. Fiz. 53, 1157 (1966) [Sov. Phys. JETP 22, 804 (1966)]

    Google Scholar 

  72. Yu.N. Demkov, V.I. Osherov, Zh. Eksp. Teor. Fiz. 53, 1589 (1967)

    Google Scholar 

  73. R.K. Janev, Adv. At. Mol. Phys. 12, 1 (1976)

    Google Scholar 

  74. M.I. Chibisov, R.K. Janev, Phys. Rep. 166, 1 (1988)

    Google Scholar 

  75. M.I. Chibisov, Usp. Fiz. Nauk 172, 2 (2002) [Phys. Usp. 45 1–26 (2002)]

    Google Scholar 

  76. Yu.N. Demkov, V.N. Ostrovskii, Method of Zero-Range Potentials in Atomic Physics(Leningrad University Press, Leningrad, 1975) [Zero-Range Potentials and their Applications in Atomic Physics, translated from Russian by A.M. Ermolaev (Plenum, New York, 1988)]

    Google Scholar 

  77. V.M. Galitski, E.E. Nikitin, B.M. Smirnov, Collision Theory of Atomic Particles(Nauka, Moscow, 1981) [in Russian]

    Google Scholar 

  78. M. Ciocca, M. Allegrini, E. Arimondo, C.E. Burkhardt, W.P. Garver, J.J. Leventhal, Phys. Rev. Lett. 56, 704 (1986)

    Google Scholar 

  79. L. Barbier, M.T. Djerad, M. Chéret, Phys. Rev. A 34, 2710 (1986)

    Google Scholar 

  80. K.W. McLaughlin, D.W. Duquette, Phys. Rev. Lett. 72, 1176 (1994)

    Google Scholar 

  81. M. Reicherts, T. Roth, A. Gopalan, M.-W. Ruf, H. Hotop, C. Desfrançois, I.I. Fabrikant, Europhys. Lett. 40, 129 (1997)

    Google Scholar 

  82. R. Parthasarathy, L. Suess, Y. Liu, F.B. Dunning, J. Chem. Phys. 119, 4986 (2003)

    Google Scholar 

  83. M. Cannon, Y. Liu, F.B. Dunning, Chem. Phys. Lett. 458, 35 (2008)

    Google Scholar 

  84. M. Cannon, F.B. Dunning, J. Chem. Phys. 130, 044304 (2009)

    Google Scholar 

  85. M. Cannon, C.H. Wang, F.B. Dunning, Chem. Phys. Lett. 479, 30 (2009)

    Google Scholar 

  86. W.A. Chupka, P.M. Dehmer, W.T. Jivery, J. Chem. Phys. 63, 3929 (1975)

    Google Scholar 

  87. R.C. Shiell, X.K. Hu, Q.C.J. Hu, J.W. Hepburn, Faraday Discuss. 115, 331 (2000)

    Google Scholar 

  88. E. Reinhold, W. Ubachs, Phys. Rev. Lett. 88, 013001 (2001)

    Google Scholar 

  89. E. Reinhold, W. Ubachs, Mol. Phys. 103, 1329 (2005)

    Google Scholar 

  90. M.O. Vieitez, T.I. Ivanov, E. Reinhold, C.A. de Lange, W. Ubachs, Phys. Rev. Lett. 101, 163001 (2008)

    Google Scholar 

  91. C. Desfrançois, H. Abdoul-Carime, N. Khelifa, J.P. Shermann, Phys. Rev. Lett. 73, 2436 (1994)

    Google Scholar 

  92. B.M. Smirnov, M.I. Chibisov, Zh. Eksp. Teor. Fiz. 49841 (1965) [Sov. Phys. - JETP 22585 (1966)]

    Google Scholar 

  93. A.A. Radtsig, B.M. Smirnov, Zh. Eksp. Teor. Fiz. 60521 (1971) [Sov. Phys. - JETP 33282 (1971)]

    Google Scholar 

  94. Yu.N. Demkov, G.F. Drukarev, Zh. Eksp. Teor. Fiz. 81918 (1981) [Sov. Phys. - JETP 54650 (1981)]

    Google Scholar 

  95. I.V. Komarov, P.A. Pogorelyi, A.S. Tibilov, Opt. Spektrosk. 27, 198 (1969) [Opt. Spectrosc. USSR 27, 105 (1969)]

    Google Scholar 

  96. L.P. Presnyakov, Phys. Rev. A 2, 1720 (1970)

    Google Scholar 

  97. T.M. Kereselidze, M.I. Chibisov, Zh. Eksp. Teor. Fiz. 6812 (1975)

    Google Scholar 

  98. C. Herring, Rev. Mod. Phys. 3463145 (1962)

    Google Scholar 

  99. L.P. Gor’kov, L.P. Pitaevskii, Dokl. Akad. Nauk 1518234 (1963) [Sov. Phys. - Dokl. 8188 (1964)]

    Google Scholar 

  100. B.M. Smirnov, Dokl. Acad. Nauk 161, 92 (1965) [Sov. Phys. - Dokl. 10, 218 (1966)]

    Google Scholar 

  101. B.M. Smirnov, Zh. Eksp. Teor. Fiz. 51, 466 (1966) [Sov. Phys. - JETP 24, 314 (1966)]

    Google Scholar 

  102. R.K. Janev, A. Salin, J. Phys. B 5, 177 (1972)

    Google Scholar 

  103. E.A. Andreev, Theor. Chem. Acta 30, 191 (1973)

    Google Scholar 

  104. E.A. Andreev, Theor. Chem. Acta 34, 73 (1974)

    Google Scholar 

  105. C. Bahrim, U. Thumm, I.I. Fabrikant, Phys. Rev. A 63, 042710 (2001)

    Google Scholar 

  106. C. Bahrim, U. Thumm, I.I. Fabrikant, J. Phys. B 34, L195 (2001)

    Google Scholar 

  107. J.C. Light, I.P. Hamilton, J.V. Lill, J. Chem. Phys. 82, 1400 (1985)

    Google Scholar 

  108. O.I. Tolstikhin, S. Watanabe, M. Matsuzawa, J. Phys. B 29, L389 (1996)

    Google Scholar 

  109. G.V. Mil’nikov, H. Nakamura, J. Horacek, Comp. Phys. Comm. 135, 278 (2001)

    Google Scholar 

  110. M. Abramovitz, I.A. Stegun, Handbook of Mathematical Functions(Dover, New York, 1965)

    Google Scholar 

  111. M. Matsuzawa, J. Phys. B 8, 2114 (1975); corrigendum 9, 2559 (1976)

    Google Scholar 

  112. C. Desfrançois, H. Abdoul-Carime, C. Adjouri, N. Khelifa, J.P. Scherman, Europhys. Lett. 26, 25 (1994)

    Google Scholar 

  113. C. Desfrançois, B. Baillon, J.P. Schermann, S.T. Arnold, J.H. Hendricks, K.H. Bowen, Phys. Rev. Lett. 72, 48 (1994)

    Google Scholar 

  114. R.N. Compton, H.S. Carman Jr., C. Desfrançois, H. Abdoul-Carmine, J.P. Schermann, J.H. Hendricks, S.A. Lyapustina, K.H. Bowen, J. Chem. Phys. 105, 3472 (1996)

    Google Scholar 

  115. H. Abdoul-Carime, C. Desfrançois, Eur. Phys. J. D 2, 149 (1998)

    Google Scholar 

  116. C. Desfrançois, Y. Bouteiller, J.P. Schermann, D. Radisic, S.T. Stokes, K.H. Bowen, N.I. Hammer, R.N. Compton, Phys. Rev. Lett. 92, 083003 (2004)

    Google Scholar 

Download references

Acknowledgements

The work was partially supported by the Russian Foundation for Basic Research (Grant Nos. 09-02-01024, 11-08-00879), the RF Ministry of Education and Science (program Development of the Scientific Potential of Higher Education Institutions, Project No. 2.1.1/4294), the Physical Sciences Division of the Russian Academy of Sciences (program “Fundamental Optical Spectroscopy and Its Applications”), and the Federal-targeted program Scientific and Educational Staff of Innovative Russia (State Contract No. 02.740.11.0447). We are grateful to our colleague Alexey Kondorskiy for constructive recommendations concerning numerical calculations of the negative ion wave functions by the DVR method and for useful discussion of the results obtained.

Author information

Authors and Affiliations

  1. P.N. Lebedev Physical Institute, Leninskiy prospekt 53, Moscow, Russia

    V. S. Lebedev & A. A. Narits

Authors
  1. V. S. Lebedev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Narits
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. , Optical Department, P.N.Lebedev Physical Institute, Leninskii prospect 53, Moscow, 119991, Russia

    Viacheslav Shevelko

  2. , Plasma Physics, National Institute for Fusion Science, Oroshi 332-6, Toki, Gifu, 509-5292, Japan

    Hiro Tawara

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Lebedev, V.S., Narits, A.A. (2012). Extended Theory of Ionic–Covalent Coupling in Collisions of Rydberg Atoms with Neutral Targets. In: Shevelko, V., Tawara, H. (eds) Atomic Processes in Basic and Applied Physics. Springer Series on Atomic, Optical, and Plasma Physics, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25569-4_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25569-4_9

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25568-7

  • Online ISBN: 978-3-642-25569-4

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics

Search

Navigation