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Collision processes involving heavy many-electron ions interacting with neutral atoms

 a, b,  a
a Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

An overview is given of experimental data on and methods for the calculation of effective cross sections for charge-exchange (electron capture) and electron-loss (projectile ionization) processes involving heavy many-electron ions (like Xeq+, Pbq+, Wq+, Uq+) colliding with neutral atoms (H, He, N, Ne, Ar, Kr, Xe) at energies E ranging from low (≈ 10 keV/u) to relativistic (≈ 10 GeV/u). Because these charge-changing processes occur with a high probability (cross-section values reach up to 10−14—10−16 cm2 at the maximum), they strongly influence the kinetics of laboratory and astrophysical plasmas as well as determining ion beam lifetimes in accelerators. The paper also discusses multielectron capture and loss processes which, for heavy projectiles, increase in importance to account for up to and over 50% of the total cross section. Also covered are the influence of the inner-shell electrons of both colliding systems and the role of isotopic effects in the electron capture of very slow (E ≈ 10–100 eV/u) ions on the hydrogen isotopes H, D, and T. A brief description is given of suitable computer programs for calculating electron-capture and electron-loss cross sections for complex atoms and ions over a wide range of collision energies.

Fulltext pdf (1.1 MB)
Fulltext is also available at DOI: 10.3367/UFNe.0183.201303a.0225
PACS: 34.10.+x, 34.50.Fa, 34.70.+e (all)
DOI: 10.3367/UFNe.0183.201303a.0225
URL: https://ufn.ru/en/articles/2013/3/a/
000320226200001
2013PhyU...56..213T
Citation: Tolstikhina I Yu, Shevelko V P "Collision processes involving heavy many-electron ions interacting with neutral atoms" Phys. Usp. 56 213–242 (2013)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 26th, March 2012, revised: 19th, April 2012, 18th, May 2012

Оригинал: Толстихина И Ю, Шевелько В П «Столкновительные процессы с участием тяжёлых многоэлектронных ионов при взаимодействии с нейтральными атомами» УФН 183 225–255 (2013); DOI: 10.3367/UFNr.0183.201303a.0225

References (199) ↓ Cited by (31) Similar articles (20)

  1. Bates D R Atomic And Molecular Processes (New York: Academic Press, 1962); Beits D (Red.) Atomnye i Molekulyarnye Protsessy (M.: Mir, 1964)
  2. Bethe H A Intermediate Quantum Mechanics (New York: W.A. Benjamin, 1964)
  3. Mott N F, Massey H S W The Theory Of Atomic Collisions (Oxford: Clarendon Press, 1965); Mott N, Messi G Teoriya Atomnykh Stolknovenii (M.: Mir, 1969)
  4. Presnyakov L P Usp. Fiz. Nauk 119 49 (1976); Presnyakov L P Sov. Phys. Usp. 19 387 (1976)
  5. Vainshtein L A, Sobel’man I I, Yukov E A Vozbuzhdenie Atomov i Ushirenie Spektral’nykh Linii (M.: Nauka, 1979); Sobelman I I, Vainshtein L A, Yukov E A Excitation Of Atoms And Broadening Of Spectral Line (Berlin: Springer-Verlag, 1981)
  6. Smirnov B M Usp. Fiz. Nauk 133 569 (1981); Smirnov B M Sov. Phys. Usp. 24 251 (1981)
  7. Janev R K, Presnyakov L P Phys. Rep. 70 1 (1981)
  8. Presnyakov L P, Shevel’ko V P, Yanev R K Elementarnye Protsessy s Uchastiem Mnogozaryadnykh Ionov (M.: Energoatomizdat, 1986)
  9. Vainshtein L A, Shevel’ko V P Struktura i Kharakteristiki Ionov v Goryachei Plazme (M.: Nauka, 1986)
  10. Janev R K et al. Elementary Processes In Hydrogen-Helium Plasmas (Springer Series on Atoms + Plasmas) Vol. 4 (Berlin: Springer-Verlag, 1987)
  11. Nikitin E E, Smirnov B M Atomno-molekulyarnye Protsessy v Zadachakh s Resheniyami (M.: Nauka, 1988)
  12. Parilis E S i dr. Ozhe-protsessy pri Atomnykh Stolknoveniyakh (Otv. red. O B Firsov) (Tashkent: FAN, 1989)
  13. Solov’ev E A Usp. Fiz. Nauk 157 437 (1989); Solov’ev E A Sov. Phys. Usp. 32 228 (1989)
  14. Nikitin E E, Smirnov B M Medlennye Atomnye Stolknoveniya (M.: Energoatomizdat, 1990)
  15. Fritsch W, Lin C D Phys. Rep. 202 1 (1991)
  16. Bransden B H, McDowell M R C Charge Exchange And The Theory Of Ion-Atom Collisions (Oxford: Clarendon Press, 1992)
  17. Janev R K (Ed.) Atomic And Molecular Processes In Fusion Edge Plasmas (New York: Plenum Press, 1995)
  18. Lebedev V S, Beigman I L Physics Of Highly Excited Atoms And Ions (Springer Series on Atoms + Plasmas) Vol. 22 (Berlin: Springer-Verlag, 1998)
  19. Beyer H F, Shevelko V P (Eds) Atomic Physics With Heavy Ions (Springer Series on Atoms + Plasmas) Vol. 26 (Berlin: Springer, 1999)
  20. Smirnov B M Usp. Fiz. Nauk 171 233 (2001); Smirnov B M Phys. Usp. 44 221 (2001)
  21. Stolterfoht N, DuBois R D, Rivarola R D Electron Emission In Heavy—Ion—Atom Collisions (Springer Series on Atoms + Plasmas) Vol. 20 (Berlin: Springer, 1997)
  22. Beyer H F, Shevelko V P Introduction To The Physics Of Highly Charged Ions (Bristol: IOP Publ., 2003)
  23. Currell F J (Ed.) The Physics Of Multiply And Highly Charged Ions (Dordrecht: Kluwer Acad. Publ., 2003)
  24. Shevelko V, Tawara H (Eds) Atomic Processes In Basic And Applied Physics (Springer Ser. on Atomic, Optical, and Plasma Physics) Vol. 68 (Berlin: Springer-Verlag, 2012)
  25. Sharkov B Yu Nucl. Instrum. Meth. Phys. Res. A 577 14 (2007)
  26. Logan B G, Perkins L J, Barnard J J Phys. Plasmas 15 072701 (2008)
  27. Geissel H et al. Nucl. Instrum. Meth. Phys. Res. B 195 3 (2002)
  28. Hickok R L Rev. Sci. Instrum. 38 142 (1967)
  29. Geissel H, Münzenberg G, Riisager K Annu. Rev. Nucl. Part. Sci. 45 163 (1995)
  30. Mazing M A et al. Phys. Rev. A 32 3695 (1985)
  31. Fortov V E, Khoffmann D, Sharkov B Yu Usp. Fiz. Nauk 178 113 (2008); Fortov V E, Hoffmann D H H, Sharkov B Yu Phys. Usp. 51 109 (2008)
  32. Dennerl K Space Sci. Rev. 157 57 (2010)
  33. Amaldi U, Kraft G Europhys. News 36 114 (2005)
  34. Nikoghosyan A et al. Int. J. Radiat. Oncology Biol. Phys. 58 89 (2004)
  35. FAIR Baseline Technical Report (2006), http://www.fair-center.eu/for-users/publications/fair-publications.html
  36. Betz H-D Rev. Mod. Phys. 44 465 (1972)
  37. Isler R C Plasma Phys. Control. Fusion 36 171 (1994)
  38. Cantrell C D, Scully M O Progress In Lasers And Laser Fusion (Studies in the Natural Sciences) Vol. 8 (Eds A Perlmutter, S M Widmayer) (New York: Plenum Press, 1975) p. 147
  39. Rocca J J Rev. Sci. Instrum. 70 3799 (1999)
  40. Mokler P H, Stöhlker Th Adv. Atom. Mol. Opt. Phys. 37 297 (1996)
  41. Kaminskii A K, Vasil’ev A A Fiz. Elem. Chast. At. Yad. 29 489 (1998); Kaminskii A K, Vasil’ev A A Phys. Part. Nucl. 29 201 (1998)
  42. Omet C et al. New J. Phys. 8 284 (2006)
  43. Eichler J, Stöhlker Th Phys. Rep. 439 1 (2007)
  44. Erb W GSI Report P-7-78 (Darmstadt: GSI, 1978)
  45. Perumal A N et al. Nucl. Instrum. Meth. Phys. Res. B 227 251 (2005)
  46. Faddeev L D Trudy MIAN 69 3 (1963)
  47. Presnyakov L P, Ulantsev A D Kvantovaya Elektronika 1 2377 (1974); Presnyakov L P, Ulantsev A D Sov. J. Quantum Electron. 4 1320 (1974)
  48. Presnyakov L P, Uskov D B, Yanev R K Zh. Eksp. Teor. Fiz. 83 933 (1982); Presnyakov L P, Uskov D B, Janev R K Sov. Phys. JETP 56 525 (1982)
  49. Wu Y et al. Phys. Rev. A 84 022711 (2011)
  50. Nikulin V K, Gushchina N A Zh. Tekh. Fiz. 77 (2) 8 (2007); Nikulin V K, Guschina N A Tech. Phys. 52 148 (2007)
  51. Chibisov M I Pis’ma ZhETF 24 56 (1976); Chibisov M I JETP Lett. 24 46 (1976)
  52. Olson R E, Salop A Phys. Rev. A 14 579 (1976)
  53. Bárány A, Setterlind C J Nucl. Instrum. Meth. Phys. Res. B 98 184 (1995)
  54. Ryufuku H, Watanabe T Phys. Rev. A 20 1828 (1979)
  55. Belkić Dž, Mančev I, Hanssen J Rev. Mod. Phys. 80 249 (2008)
  56. Tupitsyn I I et al. Phys. Rev. A 82 042701 (2010)
  57. Thwaites D I Nucl. Instrum. Meth. Phys. Res. B 12 84 (1985)
  58. Belkić Dž, Gayet R, Salin A Comput. Phys. Commun. 23 153 (1981)
  59. Belkić Dž, Gayet R, Salin A Comput. Phys. Commun. 32 385 (1984)
  60. Olson R E, Ullrich J, Schmidt-Böcking H Phys. Rev. A 39 5572 (1989)
  61. Stohlker T et al. J. Phys. B At. Mol. Opt. Phys. 25 4527 (1992)
  62. Perez J A, Olson R E, Beiersdorfer P J. Phys. B At. Mol. Opt. Phys. 34 3063 (2001)
  63. Blank I et al. Phys. Rev. A 85 022712 (2012)
  64. Eichler J, Chan F T Phys. Rev. A 20 104 (1979)
  65. Shevelko V P et al. J. Phys. B At. Mol. Opt. Phys. 37 201 (2004)
  66. Schlachter A S et al. Phys. Rev. A 27 3372 (1983)
  67. Shevelko V P et al. Nucl. Instrum. Meth. Phys. Res. B 268 2611 (2010)
  68. Olson R E et al. J. Phys. B At. Mol. Opt. Phys. 35 1893 (2002)
  69. Alonso J, Gould H Phys. Rev. A 26 1134 (1982)
  70. Cocke C L, Olson R E Phys. Rep. 205 153 (1991)
  71. Knudsen H, Haugen H K, Hvelplund P Phys. Rev. A 24 2287 (1981)
  72. Bates D R, Griffing G W Proc. Phys. Soc. A 68 90 (1955)
  73. Matveev V I, Sidorov D B Zh. Tekh. Fiz. 77 (7) 18 (2007); Matveev V I, Sidorov D B Tech. Phys. 52 839 (2007)
  74. Shevelko V P, Litsarev M S, Tawara H J. Phys. B At. Mol. Opt. Phys. 41 115204 (2008)
  75. Shevelko V P, Tolstikhina I Yu, Stöhlker Th Nucl. Instrum. Meth. Phys. Res. B 184 295 (2001)
  76. Shevelko V P et al. Nucl. Instrum. Meth. Phys. Res. B 269 1455 (2011)
  77. Carlson T A et al. Atom. Data Nucl. Data Tabl. 2 63 (1970)
  78. Desclaux J P Atom. Data Nucl. Data Tabl. 12 311 (1973)
  79. Zschornack G, Musiol G, Wagner W "Dirac—Fock—Slater X-ray energy shifts and electron binding energy changes for all ion ground states in elements up to uranium" Preprint ZfK-574 (Rossendorf bei Dresden: Zentralinstitut für Kernforschung, 1986)
  80. Rashid K, Saadi M Z, Yasin M Atom. Data Nucl. Data Tabl. 40 365 (1988)
  81. Gröbner O et al. (GSI/CERN Collab.) (Darmstadt: GSI, 1993), unpublished
  82. Franzke B IEEE Trans. Nucl. Sci. 28 2116 (1981)
  83. DuBois R D et al. Phys. Rev. A 70 032712 (2004)
  84. Müller C, Voitkiv A B, Grün N Phys. Rev. A 66 012716 (2002)
  85. Shevelko V P et al. Nucl. Instrum. Meth. Phys. Res. B 278 63 (2012)
  86. Eichler J, Meyerhof W E Relativistic Atomic Collisions (San Diego: Academic Press, 1995)
  87. Voitkiv A B Phys. Rep. 392 191 (2004)
  88. Voitkiv A, Ullrich J Relativistic Collisions Of Structured Atomic Particles (Springer Series on Atomic, Optical and Plasma Physics) Vol. 49 (Berlin: Springer, 2008)
  89. Voitkiv A B, Najjari B, Surzhykov A J. Phys. B At. Mol. Opt. Phys. 41 111001 (2008)
  90. Najjari B, Surzhykov A, Voitkiv A B Phys. Rev. A 77 042714 (2008)
  91. Beigman I L, Tolstikhina I Yu, Shevel’ko V P Zh. Tekh. Fiz. 78 (5) 15 (2008); Beigman I L, Tolstikhina I Yu, Shevelko V P Tech. Phys. 53 547 (2008)
  92. Andreev S N i dr. Kratkie Soobshcheniya Po Fizike FIAN 35 (3) 39 (2008); Andreev S N et al. Bull. Lebedev Phys. Inst. 35 89 (2008)
  93. Bethe H Handbuch Der Physik Vol. 34 (Berlin: Springer, 1933) p. 273
  94. Anholt R et al. Phys. Rev. A 32 3302 (1985)
  95. Davidovic D M et al. J. Phys. B At. Mol. Phys. 11 847 (1978)
  96. Jackson J D Classical Electrodynamics (New York: Wiley, 1975)
  97. Bertulani C A, Baur G Phys. Rep. 163 299 (1988)
  98. Baur G et al. Phys. Rev. A 80 012713 (2009)
  99. Tolstikhina I Yu, Shevelko V P Pis’ma ZhETF 94 157 (2011); Tolstikhina I Yu, Shevelko V P JETP Lett. 94 152 (2011)
  100. Olson R E et al. J. Phys. B At. Mol. Opt. Phys. 37 4539 (2004)
  101. Bohr N Philos. Mag. 30 581 (1915)
  102. Cocke C L Phys. Rev. A 20 749 (1979)
  103. Shevelko V P et al. J. Phys. B At. Mol. Opt. Phys. 43 215202 (2010)
  104. Salvat F et al. Phys. Rev. A 36 467 (1987)
  105. Song M-Y et al. Nucl. Instrum. Meth. Phys. Res. B 267 2369 (2009)
  106. Olson R E et al. Nucl. Instrum. Meth. Phys. Res. A 544 333 (2005)
  107. Crandall D N et al. Phys. Rev. Lett. 36 858 (1976)
  108. Klinger H, Muller A, Salzborn E J. Phys. B At. Mol. Phys. 8 230 (1975)
  109. Müller A, Salzborn E Phys. Lett. A 62 391 (1977)
  110. Crandall D H, Phaneuf R A, Meyer F W Phys. Rev. A 22 379 (1980)
  111. Tawara H et al. J. Phys. B At. Mol. Phys. 18 337 (1985)
  112. Müller A et al. Phys. Rev. A 33 3010 (1986)
  113. Selberg N, Biedermann C, Cederquist H Phys. Rev. A 54 4127 (1996)
  114. Selberg N, Biedermann C, Cederquist H Phys. Rev. A 56 4623 (1997)
  115. Suzuki K, Okuno K, Kobayashi N Phys. Scripta 1997 (T73) 172 (1997)
  116. Kimura M et al. J. Phys. B At. Mol. Opt. Phys. 28 L643 (1995)
  117. Nakamura N et al. J. Phys. B At. Mol. Opt. Phys. 28 2959 (1995)
  118. Sakaue H A et al. J. Phys. B At. Mol. Opt. Phys. 37 403 (2004)
  119. Bräuning H et al. Phys. Rev. Lett. 91 168301 (2003)
  120. Zettergren H et al. Eur. Phys. J. D 38 299 (2006)
  121. Wethekam S et al. Phys. Rev. B 81 121416(R) (2010)
  122. Narits A A J. Phys. B At. Mol. Opt. Phys. 41 135102 (2008)
  123. Bohr N, Lindhard J Danske Videnskab. Selskab. Math.-Fys. Medd. 28 (7) (1954)
  124. Bárány A et al. Nucl. Instrum. Meth. Phys. Res. B 9 397 (1985)
  125. Niehaus A J. Phys. B At. Mol. Phys. 19 2925 (1986)
  126. Harel C, Jouin H J. Phys. B At. Mol. Phys. 25 221 (1992)
  127. Chen Z, Shingal R, Lin C D J. Phys. B At. Mol. Phys. 24 4215 (1991)
  128. Hansen J P, Taulbjerg K Phys. Rev. A 45 R4214 (1992)
  129. Nikulin V K, Guschina N A Phys. Scripta 1997 (T71) 134 (1997)
  130. Sidorovich V A, Nikolaev V S, McGuire J H Phys. Rev. A 31 2193 (1985)
  131. Cederquist H et al. Phys. Rev. A 61 022712 (2000)
  132. Watson R L et al. Phys. Rev. A 67 022706 (2003)
  133. Mueller D et al. Phys. Plasmas 8 1753 (2001)
  134. Russek A, Meli J Physica 46 222 (1970)
  135. DuBois R D et al. Phys. Rev. A 68 042701 (2003)
  136. Santos A C F, DuBois R D Phys. Rev. A 69 042709 (2004)
  137. Rost J M, Pattard T Phys. Rev. A 55 R5 (1997)
  138. Weber G et al. Phys. Rev. ST Accel. Beams 12 084201 (2009)
  139. Lassen N O Danske Videnskab. Selskab. Mat.-Fys. Medd. 26 (5) (1951)
  140. Lassen N O Danske Videnskab. Selskab. Mat.-Fys. Medd. 26 (12) (1951)
  141. Geissel H et al. Phys. Lett. A 99 77 (1983)
  142. Betz H D, Grodzins L Phys. Rev. Lett. 25 211 (1970)
  143. Miyoshi T et al. Nucl. Instrum. Meth. Phys. Res. B 258 329 (2007)
  144. Fettouhi A et al. Nucl. Instrum. Meth. Phys. Res. B 245 32 (2006)
  145. Ogawa H et al. Phys. Rev. A 75 020703(R) (2007)
  146. Eisenbarth S et al. Laser Part. Beams 25 601 (2007)
  147. Ryding G, Betz H D, Wittkower A Phys. Rev. Lett. 24 123 (1970)
  148. Woods C J et al. J. Phys. B At. Mol. Phys. 17 867 (1984)
  149. Shevelko V P et al. J. Phys. B At. Mol. Phys. 38 2675 (2005)
  150. Klein O, Rosseland S Z. Phys. 4 46 (1921)
  151. Val’ Kh i dr. Kratkie Soobshcheniya Po Fizike FIAN (8) 28 (2001)
  152. Krämer A et al. Proc. of the 8th European Particle Accelerator Conf., EPAC 2002, Paris, 3 - 7 June 2002 (Geneva: EPS-IGA, CERN, 2002) p. 2547; Krämer A et al. http://accelconf.web. cern.ch/accelconf/e02/PAPERS/WEPLE116.pdf
  153. Spiller P et al. GSI Scientific Report 2010 (Darmstadt: GSI, 2011) p. 270
  154. Born M, Oppenheimer R Ann. Physik 84 457 (1927)
  155. Born M, Fock V Z. Phys. 51 165 (1928)
  156. Landau L D Phys. Z. Sowjetunion 1 88 (1932)
  157. Dykhne A M Zh. Eksp. Teor. Fiz. 41 1324 (1961); Dykhne A M Sov. Phys. JETP 14 941 (1962)
  158. Zener C Proc. R. Soc. Lond. A 137 696 (1932)
  159. Stueckelberg E C G Helv. Phys. Acta 5 369 (1932)
  160. Smirnov B M Atomnye Stolknoveniya i Elementarnye Protsessy v Plazme (M.: Atomizdat, 1968)
  161. Nikitin E E Teoriya Elementarnykh Atomno-molekulyarnykh Protsessov v Gazakh (M.: Khimiya, 1970); Nikitin E E Theory Of Elementary Atomic And Molecular Processes In Gases (Oxford: Clarendon Press, 1974)
  162. Nikitin E E Teoriya Elementarnykh Atomno-molekulyarnykh Reaktsii Vol. 1, 2 (Novosibirsk: Izd-vo Novosib. un-ta, 1970, 1974)
  163. Nikitin E E, Smirnov B M Usp. Fiz. Nauk 124 201 (1978); Nikitin E E, Smirnov B M Sov. Phys. Usp. 21 95 (1978)
  164. Nikitin E E, Umanskii S Ya Neadiabaticheskie Perekhody pri Medlennykh Atomnykh Stolknoveniyakh (M.: Atomizdat, 1979); Nikitin E E, Umanskii S Ya Theory Of Slow Atomic Collisions (Berlin: Springer-Verlag, 1984)
  165. Demkov Yu N Zh. Eksp. Teor. Fiz. 45 195 (1963); Demkov Yu N Sov. Phys. JETP 18 138 (1964)
  166. Nikitin E E Optika Spektroskopiya 13 761 (1962); Nikitin E E Opt. Spectrosc. 13 431 (1962)
  167. Oshepov V I Zh. Eksp. Teor. Fiz. 49 1157 (1965); Osherov V I Sov. Phys. JETP 22 804 (1965)
  168. Demkov Yu N Dokl. Akad. Nauk SSSR 166 1076 (1966); Demkov Yu N Sov. Phys. Dokl. 11 (8) 138 (1966)
  169. Demkov Yu N, Oshepov V I Zh. Eksp. Teor. Fiz. 53 1589 (1967); Demkov Yu N, Osherov V I Sov. Phys. JETP 26 916 (1968)
  170. Solov’ev E A J. Phys. B At. Mol. Opt. Phys. 153 (2005)
  171. Solov’ev E A Workshop on Hidden Crossings in Ion-Collisions and in Other Nonadiabatic Transitions (Cambridge: Harvard Smithonian Centre for Astrophysics, 1991)
  172. Komarov I V, Ponomarev L I, Slavyanov S Yu Sferoidal’nye i Kulonovskie Sferoidal’nye Funktsii (M.: Nauka, 1976)
  173. Esry B D et al. J. Phys. B At. Mol. Opt. Phys. 26 1579 (1993)
  174. Blanco S A, Falcon C A, Piacentini R D J. Phys. B At. Mol. Phys. 19 3945 (1986)
  175. Krstić P S et al. Phys. Rev. A 70 042711 (2004)
  176. Toshima N, Tawara H NIFS-DATA-026 (Nagoya: NIFS, 1995)
  177. Zhang P et al. Phys. Chem. Chem. Phys. 13 19026 (2011)
  178. Chen C Y et al. J. Phys. B At. Mol. Opt. Phys. 34 469 (2001)
  179. Deumens E et al. Rev. Mod. Phys. 66 917 (1994)
  180. Igarashi A, Lin C D Phys. Rev. Lett. 83 4041 (1999)
  181. Kado S et al. Proc. of the 19th Intern. Conf. on Plasma-Surface Interaction, San Diego, May 24 - 28, 2010
  182. Kado S et al. J. Plasma Fusion Res. 81 810 (2005)
  183. Firsov O B Zh. Eksp. Teor. Fiz. 21 1001 (1951)
  184. Matveenko A V, Ponomarev L I Zh. Eksp. Teor. Fiz. 68 920 (1975); Matveenko A V, Ponomarev L I Sov. Phys. JETP 41 456 (1975)
  185. Hunter G, Kuriyan M Proc. R. Soc. Lond. A 353 575 (1977)
  186. Tolstikhina I Yu, Kato D Phys. Rev. A 82 032707 (2010)
  187. Rosen N, Zener C Phys. Rev. 40 502 (1932)
  188. Ovchinnikov S Yu, Solov’ev E A Zh. Eksp. Teor. Fiz. 90 921 (1986); Ovchinnikov S Yu, Solov’ev E A Sov. Phys. JETP 63 538 (1986)
  189. Landau L D, Lifshits E M Kvantovaya Mekhanika. Nerelyativistskaya Teoriya (M.: Nauka, 1989); Landau L D, Lifshitz E M Quantum Mechanics: Non-Relativistic Theory (Oxford: Pergamon Press, 1977)
  190. Macek J H, Krstić P S, Ovchinnikov S Yu Phys. Rev. Lett. 93 183203 (2004)
  191. Ostrovsky V N Phys. Rev. A 61 032505 (2000)
  192. Tolstikhin O I, Namba C Phys. Rev. A 60 5111 (1999)
  193. Stolterfoht N et al. Phys. Rev. Lett. 99 103201 (2007)
  194. Grozdanov T P, Solov’ev E A Phys. Rev. A 42 2703 (1990)
  195. Stolterfoht N et al. Phys. Rev. A 81 052704 (2010)
  196. Cabrera-Trujillo R et al. Phys. Rev. A 83 012715 (2011)
  197. Tolstikhina I Yu, Kato D, Shevelko V P Phys. Rev. A 84 012706 (2011)
  198. Tolstikhina I Yu et al. J. Phys. B At. Mol. Opt. Phys. 45 145201 (2012)
  199. Seim W et al. J. Phys. B At. Mol. Phys. 14 3475 (1981)
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