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On radiation by relativistic electrons and positrons channeled in crystals

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In this work the radiation processes by relativistic electrons and positrons in crystals have been considered. Based on the terminology of coherent radiation length, the influence of target structure periodicity on radiation features is revealed. The unified theory of electromagnetic radiation by relativistic channeled electrons has been developed. It is shown that, depending on the angles of orientation between projectile and crystallographic row (plane), various types of scattering play an essential role for different ranges of emitted frequencies. A general expression for the probability of bremsstrahlung is reduced taking into account the main factors of scattering under the channeling conditions. The analysis of various mechanisms of radiation and scattering together with their contributions to the radiation spectrum is presented. It is shown that the total spectrum of electromagnetic radiation at channeling is formed by both incoherent bremsstrahlung and channeling radiation.

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References

  1. Heitler W., The Quantum Theory of Radiation (Oxford Unviersity Press, Oxford) 1954.

    MATH  Google Scholar 

  2. Ter-Mikaelian M. L., High-Energy Electromagnetic Processes in Condensed Media (Wiley, New York) 1972.

    Google Scholar 

  3. Jelly J. V., Cherenkov Radiation and its Applications (Pergamon, London) 1958.

    Google Scholar 

  4. Ginzburg V. L. and Tsytovich V. N., Transition Radiation and Transition Scattering (Nauka, Moscow) 1984 (translated into English by A. Hilger, Bristol) 1990.

    Google Scholar 

  5. Starodubzev S. V. and Romanov S. V., Passage of Charged Particles Through Matter (Izd-vo AN Uzb. SSR: Tashkent) 1962 (in Russian).

    Google Scholar 

  6. Kumakhov M. A. and Shirmer G., Atomic Collisions in Crystals (G. & B. Sci. Pub. Ltd, London) 1989.

    Google Scholar 

  7. Kumakhov M. A. and Komarov F. F., Radiation from Charged Particles in Solids (AIP, New York) 1989.

    Google Scholar 

  8. Akhiezer A. I. and Shul’ga N. F., High-Energy Electrodynamics in Matter (G. & B. Sci. Pub., Amsterdam) 1996.

    Google Scholar 

  9. Baier V. N., Katkov V. M. and Strakhovenko V. M., High Energy Electromagnetic Processes in Oriented Single Crystals (World Scientific, Singapore) 1998.

    Book  Google Scholar 

  10. Ryazanov M. I., Sov. Phys. Usp., 17 (1975) 815.

    Article  ADS  Google Scholar 

  11. Ohtsuki Y.-H., Charged Beam Interaction with Solids (Taylor & Francis Ltd, London- New York) 1983.

    Google Scholar 

  12. Bazylev V. A. and Zhevago N. K., Radiation of Fast Particles in Matter and External Fields (Nauka, Moscow) 1987 (in Russian).

    Google Scholar 

  13. Jackson J. D., Classical Electrodynamics (Wiley, New York) 1975.

    MATH  Google Scholar 

  14. Berestetskii V. B., Lifshitz E. M. and Pitaevskii L. P., Quantum Electrodynamics. Theoretical Physics, edited by Landau L. D. and Lifshitz E. M., Vol. 4 (Nauka, Moscow) 1980 (in Russian).

  15. Lindhard J., Kgl. Dan. Vid. Selsk. Mat.-Fys. Medd., 34 (1965) No. 14.

    Google Scholar 

  16. Thompson M. W., Contemp. Phys., 9 (1968) 375.

    Article  ADS  Google Scholar 

  17. Gemmell D. S., Rev. Mod. Phys., 46 (1974) 129.

    Article  ADS  Google Scholar 

  18. Robinson M. T. and Oen O. S., Phys. Rev., 132 (1963) 2385.

    Article  ADS  Google Scholar 

  19. Beeler J. R. and Besco D. S., J. Appl. Phys., 34 (1963) 2873.

    Article  ADS  Google Scholar 

  20. Piercy G. R., Brown F., Davies J. A. and McCorgo M., Phys. Rev. Lett., 10 (1963) 399.

    Article  ADS  Google Scholar 

  21. Lutz H. and Sizmann R., Phys. Lett., 5 (1963) 113.

    Article  ADS  Google Scholar 

  22. Beloshitsky V. V. and Kumakhov M. A., Zh Exp. Teor. Fiz., 62 (1972) 1144 (in Russian).

    Google Scholar 

  23. Beloshitsky V. V. and Kumakhov M. A., Dokl. AN USSR, 212 (1973) 846 (in Russian).

    Google Scholar 

  24. Beloshitsky V. V. and Kumakhov M. A., Dokl. AN USSR, 259 (1981) 341 (in Russian).

    Google Scholar 

  25. Beloshitsky V. V., Kumakhov M. A. and Muralev V. A., Radiat. Eff., 13 (1972) 9.

    Article  Google Scholar 

  26. Beloshitsky V. V., Kumakhov M. A. and Muralev V. A., Radiat. Eff., 20 (1973) 95.

    Article  Google Scholar 

  27. Bonderup E., Esbensen H., Andersen J. U. and Shiott H. E., Radiat. Eff., 12 (1972) 261.

    Article  Google Scholar 

  28. Firsov O. B., Radiat. Eff., 21 (1974) 265.

    Article  Google Scholar 

  29. Kagan Yu. M. and Kononez Yu. V., Zh Exp. Teor. Fiz., 58 (1970) 226 (in Russian).

    Google Scholar 

  30. Kagan Yu. M. and Kononez Yu. V., Zh Exp. Teor. Fiz., 64 (1973) 1042 (in Russian).

    Google Scholar 

  31. Kagan Yu. M. and Kononez Yu. V., Zh Exp. Teor. Fiz., 66 (1974) 1693 (in Russian).

    Google Scholar 

  32. Ryabov V. A., Zh Exp. Teor. Fiz., 67 (1974) 150 (in Russian).

    Google Scholar 

  33. Andersen S. K., Bell F., Frandsen F. and Uggerhoj E., Phys. Rev. B, 8 (1973) 4913.

    Article  ADS  Google Scholar 

  34. Andersen J. U., Andersen S. K. and Augustyniak W. M., Kgl. Dan. Vid. Selsk. Mat.-Fys. Medd., 39 (1977) No. 10.

    Google Scholar 

  35. Kumakhov M. A., Phys. Lett. A, 57 (1976) 17.

    Article  Google Scholar 

  36. Beloshitsky V. V. and Komarov F. F., Phys. Rep., 93 (1982) 117.

    Article  ADS  Google Scholar 

  37. Beloshitsky V. V. and Dabagov S. B., Sov. Phys. Tech. Phys., 33 (1988) 939.

    Google Scholar 

  38. Beloshitsky V. V. and Dabagov S. B., Radiat. Eff. Def. Sol., 20 (1989) 36.

    Google Scholar 

  39. Beloshitsky V. V. and Kalinichenko V. F., Zh Exp. Teor. Fiz., 95 (1989) 1366 (in Russian).

    ADS  Google Scholar 

  40. Andersen J. U. and Laegsgaard E., Nucl. Instrum. Methods B, 33 (1988) 11.

    Article  ADS  Google Scholar 

  41. Andersen J. U., Quantum Theory of Channeling Radiation, in Relativistic Channeling, edited by Carrigan R. A. Jr. and Ellison J. A. (Plenum Press, New York) 1987, pp. 163–176.

    Chapter  Google Scholar 

  42. Hau L. V. and Andersen J. U., Phys. Rev. A, 47 (1993) 4007.

    Article  ADS  Google Scholar 

  43. Dabagov S. B. and Kumakhov M. A., Radiat. Eff. Def. Sol., 25 (1993) 55.

    Article  Google Scholar 

  44. Dabagov S. B., Beloshitsky V. V. and Kumakhov M. A., Nucl. Instrum. Methods B, 74 (1993) 368.

    Article  ADS  Google Scholar 

  45. Kumakhov M. A. and Wedell R., Phys. Status Solidi B, 84 (1977) 581.

    Article  ADS  Google Scholar 

  46. Beloshitsky V. V. and Kumakhov M. A., Zh Exp. Teor. Fiz., 74 (1978) 1244 (in Russian).

    Google Scholar 

  47. Bazylev V. A. and Zhevago N. K., Zh Exp. Teor. Fiz., 73 (1977) 1697 (in Russian).

    Google Scholar 

  48. Animalu A., Quantum Theory of Crystallic Solid States (Mir, Moscow) 1981 (in Russian).

    Google Scholar 

  49. Glauber R. J., Phys. Rev., 98 (1955) 1692.

    Article  ADS  Google Scholar 

  50. Andersen J. U., Bonderup E., Laegsgaard E., Marsh B. B. and Sorensen A. H., Nucl. Instrum. Methods, 194 (1982) 209.

    Article  ADS  Google Scholar 

  51. Lindhard J., Phys. Lett., 12 (1964) 126.

    Article  ADS  Google Scholar 

  52. Erginsoy C., Phys. Rev. Lett., 15 (1965) 360.

    Article  ADS  Google Scholar 

  53. Artru X., Fomin S. P., Shul’ga N. F., Ispirian K. A. and Zhevago N. K., Phys. Rep., 412 (2005) 89.

    Article  ADS  Google Scholar 

  54. Molierer G., Z. Naturforsch A, 2 (1947) 133.

    Article  ADS  Google Scholar 

  55. Cox H. L. and Bonham R. A., J. Chem. Phys., 47 (1967) 2599.

    Article  ADS  Google Scholar 

  56. Doyle P. A. and Turner P. S., Acta Crystallogr. A, 24 (1968) 390.

    Article  ADS  Google Scholar 

  57. Bazylev V. A. and Zhevago N. K., Sov. Phys. Usp., 33 (1990) 1021.

    Article  ADS  Google Scholar 

  58. Wagner W. et al., Proc. SPIE, 5974 (2005) 59740B.

    Article  Google Scholar 

  59. Ferretti B., Nuovo Cimento, 7 (1950) 118.

    Article  Google Scholar 

  60. Ter-Mikaelian M. L., JETP, 25 (1953) 289.

    Google Scholar 

  61. Dyson F. and Uberall H., Phys. Rev., 99 (1955) 604.

    Article  ADS  Google Scholar 

  62. Berman B. L. and Datz S., in Coherent Radiation Sources, edited by Saenz A. W. and Uberall H. (Springer-Verlag) 1985, p. 165.

  63. Part H. et al., Phys. Rev. B, 35 (1987) 13.

    Article  ADS  Google Scholar 

  64. Gouanere M. et al., Nucl. Instrum. Methods, 194 (1982) 225.

    Article  ADS  Google Scholar 

  65. Backe H. et al., in Proceedings of the Memorial Symposium for Gerhard Soff, Frankfurt am Main, Germany, April 25-26, 2005, Topics in Heavy Ion Physics, edited by Greiner W. and Reinhardt J. (EP Systema Bt, Budapest) 2005, p. 1.

  66. Zhevago N. K., Sov. Phys. JETP, 67 (1988) 1967.

    Google Scholar 

  67. Bayer V. N., Katkov V. M. and Strakhovenko V. M., Zh Exp. Teor. Fiz., 92 (1987) 1228.

    ADS  Google Scholar 

  68. Bazylev V. A. and Zhevago N. K., Sov. Phys. Usp., 25 (1982) 565 and references therein.

    Article  ADS  Google Scholar 

  69. Adishghev Yu. N. et al., Phys. Lett. A, 83 (1981) 337.

    Article  ADS  Google Scholar 

  70. Ganenko V. B. et al., Phys. At. Nucl., 60 (1997) 165.

    Google Scholar 

  71. Avakian R. O. et al., Zh Exp. Teor. Fiz., 82 (1982) 1825.

    Google Scholar 

  72. Atkinson M. et al., Phys. Lett. B, 110 (1982) 162.

    Article  ADS  Google Scholar 

  73. Klein R. K. et al., Phys. Rev. B, 31 (1985) 68.

    Article  ADS  Google Scholar 

  74. Zhevago N. K. and Khokonov M. Kh., Sov. Phys. JETP, 60 (1984) 33.

    Google Scholar 

  75. Kratshmer W. and Huffman D. R., Carbon, 30 (1992) 1143.

    Article  Google Scholar 

  76. Poulin P., Vigolo B. and Launois P., Carbon, 40 (2002) 1741.

    Article  Google Scholar 

  77. Gogotsia Y. U., Libera J. A. and Yoshimura M., J. Mater. Res., 15 (2000) 2591.

    Article  ADS  Google Scholar 

  78. Alferov D. F., Bashmakov Y. A. and Bessonov E. G., Undulator Radiation, Lebedev Phys. Inst. Ser. 80 (1975).

  79. Baryshevsky V. G., Channeling, Radiation and Reactions in Crystals at High Energies (BSU, Minsk) 1982 (in Russian).

    Google Scholar 

  80. Bagke H., Cube G. and Lauth W., in Electron-Photon Interaction in Dense Media, edited by Wiedemann H. (Kluwer, Dortrecht) 2001.

  81. Potylitsyn A. P., Radiation from Relativistic Electrons in Periodic Structures, Collection of papers (TPU Pub., Tomsk) 2005.

    Google Scholar 

  82. Lobko A. S., Experimental Studies on Parametric X-ray Radiation (BSU, Minsk) 2006 (in Russian).

    Google Scholar 

  83. Saenz A. W. and Uberall H. (Editors), Coherent Radiation Sources (Springer) 1985.

    Google Scholar 

  84. Rullhusen P., Artru X. and Dhez P., Novel Radiation Sources Using Relativistic Electrons (World Scientific, Singapore) 1998.

    Book  Google Scholar 

  85. Uggerhoj U. I., Rev. Mod. Phys., 77 (2005) 1131.

    Article  ADS  Google Scholar 

  86. Tsyganov E. N., Fermilab TM-682, Batavia (1976).

    Google Scholar 

  87. Carrigan R., Phys. Rev. Lett., 35 (1975) 206.

    Article  ADS  Google Scholar 

  88. Carrigan R. A. Jr. et al., Nucl. Instrum. Methods B, 90 (1994) 128.

    Article  ADS  Google Scholar 

  89. Breese M. B. H., Nucl. Instrum. Methods B, 132 (1997) 540.

    Article  ADS  Google Scholar 

  90. Ivanov Yu. M. et al., Phys. Rev. Lett., 97 (2006) 144801.

    Article  ADS  Google Scholar 

  91. Sgandale W. et al, Phys. Rev. Lett., 98 (2007) 154801.

    Article  ADS  Google Scholar 

  92. Kaplin V. V., Plotnikov S. V. and Vorobiev S. A., Zh. Tekhn. Fiz., 50 (1980) 1079.

    Google Scholar 

  93. Korol A. V., Solovyov A. V. and Greiner W., Int. J. Mod. Phys. E, 8 (1999) 49.

    Article  ADS  Google Scholar 

  94. Mikkelsen U. and Uggerhoj E., Nucl. Instrum. Methods B, 160 (2000) 435.

    Article  ADS  Google Scholar 

  95. Avakian R. O. et al., Nucl. Instrum. Methods B, 173 (2001) 112.

    Article  ADS  Google Scholar 

  96. Flik G. et al., Phys. Rev. Lett., 57 (1986) 563.

    Article  ADS  Google Scholar 

  97. Carrigan R., Giagomelli G. and Paver N. (Editors), Proceedings of the 7th ICTP School on Non-accelerator Particle Astrophysics (World Scientific, Singapore) 2005.

  98. Chehab R. et al., Orsay Report, LAL-RT 89-01 (1988).

    Google Scholar 

  99. Yoshida K. et al., Phys. Rev. Lett., 80 (1998) 1437.

    Article  ADS  Google Scholar 

  100. Komarov F. F. and Kumakhov M. A., Phys. Rep., 191 (1990) 289.

    Article  ADS  Google Scholar 

  101. Ioffe A., Dabagov S. B. and Kumakhov M. A., Neutron News, 6 (1995) 20.

    Article  Google Scholar 

  102. Dabagov S. B., Kumakhov M. A. and Nikitina S. V., Phys. Lett. A, 203 (1995) 279.

    Article  ADS  Google Scholar 

  103. Dabagov S. B., Phys. Usp., 46 (2003) 1053.

    Article  ADS  Google Scholar 

  104. Dabagov S. B. and Uberall H., Nucl. Instrum. Methods A, 580 (2007) 756.

    Article  ADS  Google Scholar 

  105. Book of Abstracts, The 1st International Workshop on Channeling Radiation, Gosen (Berlin), 12-13 October 1992.

    Google Scholar 

  106. Hau L., Laegsgaard E. and Andersen J. U., Nucl. Instrum. Methods B, 48 (1990) 244.

    Article  ADS  Google Scholar 

  107. Baublis V. V., Carrigan R. A. Jr., Chen D. et al., Nucl. Instrum. Methods B, 90 (1994) 112.

    Article  ADS  Google Scholar 

  108. Baublis V. V., Ivanov I. V., Ivochkin I. G. et al., Nucl. Instrum. Methods B, 90 (1994) 150.

    Article  ADS  Google Scholar 

  109. Dabagov S. B. (Editor), Channeling 2004, Proceedings of International Conference on Charged and Neutral Particles Channeling Phenomena (Frascati, November 2-6, 2004), Proc. SPIE, Vol. 5974 (2005).

  110. Dabagov S. B. (Editors), Channeling 2006, Proceedings of International Conference on Charged and Neutral Particles Channeling Phenomena (Frascati, July 3-7, 2006), Proc. SPIE, Vol. 6634 (2007).

  111. Dabagov S. B., Ferrario M., Palumbo L. and Serafini L., in The Physics and Applications of High Brightness Electron Beams, edited by Palumbo L., Rosenzweig J. and Serafini L. (World Scientific Publishing) 2007, p. 602; Dabagov S. B., Ferrario M., Palumbo L. and Serafini L., Int. J. Mod. Phys. A}, 22 (2007) 4280

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Authors and Affiliations

  1. INFN - Laboratori Nazionali di Frascati, I-00044, Frascati (RM), Italy

    S. B. Dabagov

  2. RAS - P.N. Lebedev Physical Institute, 119991, Moscow, Russia

    S. B. Dabagov

  3. Russian Research Centre “Kurchatov Institute”, 123182, Moscow, Russia

    N. K. Zheyago

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  1. S. B. Dabagov
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  2. N. K. Zheyago
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Dabagov, S.B., Zheyago, N.K. On radiation by relativistic electrons and positrons channeled in crystals. Riv. Nuovo Cim. 31, 491–529 (2008). https://doi.org/10.1393/ncr/i2008-10036-x

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