Abstract
We discuss the general theory of coherent phenomena in nuclear resonant interaction of γ-quanta with crystals. The coherence is realized in collective excitation of the ensemble of nuclei (nuclear exciton) with the conservation of phase memory and in the transformation of a γ-quantum into a quasi-particle of Bloch type in a crystal. The collective character of excitations causes a change in the resonant nuclear parameters and in the lifetime of the excited state. This manifests itself in a speed-up of the decay in the forward direction in a thin crystal and, on the contrary, a strong reduction of elastic scattering in a thick crystal. The reconstruction of the wavefunction of an individual γ-quantum in scattering under Laue or Bragg conditions leads to the suppression effect of inelastic incoherent channels. This effect is discussed in detail. The analysis is based on a derived general system of equations describing the resonant diffraction of γ-quanta in a crystal with an arbitrary relation between the coherent and incoherent channels. This system is used to deduce the equations describing the time-dependent nuclear resonant scattering of synchrotron radiation. We discuss the most instructive experiments with revealing coherent phenomena.
Similar content being viewed by others
References
R.L. Mössbauer, Z. Physik 151 (1958) 124.
R.L. Mössbauer, Naturwissenschaften 45 (1958) 538.
R.L. Mössbauer, Z. Naturforsch. 14a (1959) 211.
G.T. Trammell, in: Chemical Effects of Nuclear Transformations, Vol. 1 (IAEA, Vienna, 1961) p. 75.
A.M. Afanas'ev and Yu. Kagan, Pis'ma Zh. Eksper. Teoret. Fiz. 2 (1965) 130 (JETP Lett. 2 (1965) 81).
Yu. Kagan and A.M. Afanas'ev, Zh. Eksper. Teoret. Fiz. 50 (1966) 271 (Soviet Phys. JETP 23 (1966) 178).
Yu. Kagan and A.M. Afanas'ev, Mössbauer Spectroscopy and its Applications (IAEA, Vienna, 1972) p. 143.
A.M. Afanas'ev and Yu. Kagan, Zh. Eksper. Teoret. Fiz. 52 (1967) 191 (Soviet Phys. JETP 25 (1967) 124).
P.J. Black and P.B. Moon, Nature 188 (1960) 481.
S. Bernstein and E.C. Campbell, Phys. Rev. 132 (1963) 1625.
P.J. Black and I.P. Duerdoth, Proc. Phys. Soc. 84 (1964) 169.
R.E. Holland, F.J. Lynch, G.J. Perlow and S.S. Hanna, Phys. Rev. Lett. 4 (1960) 181.
F.J. Lynch, R.E. Holland and M. Hamermesh, Phys. Rev. 120 (1960) 513.
A.N. Artem'ev, G.V. Smirnov and E.P. Stepanov, Zh. Eksper. Teoret. Fiz. 54 (1968) 1028 and 63 (1972) 1390 (Soviet Phys. JETP 27 (1968) 547 and 36 (1973) 736).
A.M. Afanas'ev and Yu. Kagan, Zh. Eksper. Teoret. Fiz. 48 (1965) 327 (Soviet Phys. JETP 21 (1965) 215).
Yu. Kagan and A.M. Afanas'ev, Zh. Eksper. Teoret. Fiz. 49 (1965) 1504 (Soviet Phys. JETP 22 (1966) 1032).
A.M. Afanas'ev and Yu. Kagan, Zh. Eksper. Teoret. Fiz. 52 (1967) 191 (Soviet Phys. JETP 25 (1967) 124).
Yu. Kagan, A.M. Afanas'ev and I.P. Perstnev, Zh. Eksper. Teoret. Fiz. 54 (1968) 1530 (Soviet Phys. JETP 27 (1968) 819).
Yu. Kagan and A.M. Afanas'ev, Z. Naturforsch. 28a (1973) 1351.
J.P. Hannon and G.T. Trammell, Phys. Rev. 169 (1968) 315.
J.P. Hannon and G.T. Trammell, Phys. Rev. 186 (1969) 306.
V.K. Voitovetskii, I.L. Korsunskii, A.I. Novikov and Yu.F. Pazhin, Pis'ma Zh. Eksper. Teoret. Fiz. 11 (1970) 149 (JETP Lett. 11 (1970) 91).
G.V. Smirnov, N.A. Semioshkina, V.V. Sklyarevskii, S. Kadechkova and B. Shestak, Zh. Eksper. Teoret. Fiz. 72 (1977) 340 (Soviet Phys. JETP 45 (1977) 180).
U. van Bürck, G.V. Smirnov, H.J. Maurus and R.L. Mössbauer, J. Phys. C Solid State Phys. 19 (1986) 2557.
U. van Bürck, G.V. Smirnov, R.L. Mössbauer, H.J. Maurus and N.A. Semioshkina, J. Phys. C Solid State Phys. 13 (1980) 4511.
G.V. Smirnov, Hyp. Interact. 27 (1986) 203.
G.V. Smirnov and A.I. Chumakov, in: Resonant Anomalous X-Ray Scattering, eds. G. Materlik, C.J. Sparks and K. Fischer (Elsevier, Amsterdam, 1994) p. 609.
Yu.V. Shvyd'ko, G.V. Smirnov, S.L. Popov and T. Hertrich, Pis'ma Zh. Eksper. Teoret. Fiz. 53 (1991) 69 (JETP Lett. 53 (1991) 69).
G.V. Smirnov and Yu.V. Shvyd'ko, Pis'ma Zh. Eksper. Teoret. Fiz. 34 (1982) 409 (JETP Lett. 35 (1982) 505).
S.L. Ruby, J. Physique 35 (1974) C6-209.
A.I. Chechin, N.V. Andronova, M.V. Zelepukhin, A.N. Artem'ev and E.P. Stepanov, Pis'ma Zh. Eksper. Teoret. Fiz. 37 (1983) 531 (JETP Lett. 37 (1983) 633).
E. Gerdau, R. Rüffer, H. Winkler, W. Tolksdorf, C.P. Klages and J.P. Hannon, Phys. Rev. Lett. 54 (1985) 835.
Yu. Kagan, A.M. Afanas'ev and V.G. Kohn, Phys. Lett. 68A (1978) 339; J. Phys. C Solid State Phys. 12 (1979) 615.
U. van Bürck, R.L. Mössbauer, E. Gerdau, R. Rüffer, R. Hollatz, G.V. Smirnov and J.P. Hannon, Phys. Rev. Lett. 59 (1987) 355.
S. Kikuta, Y. Yoda, Y. Hasegawa, K. Izumi, T. Ishikawa, X.W. Zhang, S. Kishimoto, H. Sugiyama, T. Matsushita, M. Ando, C.K. Suzuki, M. Seto, H. Ohno and H. Takei, Hyp. Interact. 71 (1992) 1491.
J.B. Hastings, D.P. Siddons, U. van Bürck, R. Hollatz and U. Bergmann, Phys. Rev. Lett. 66 (1991) 770.
U. van Bürck, D.P. Siddons, J.B. Hastings, U. Bergmann and R. Hollatz, Phys. Rev. B 46 (1992) 6207.
S. Kikuta, in: Resonant Anomalous X-Ray Scattering, eds. G. Materlik, C.J. Sparks and K. Fischer (Elsevier, Amsterdam, 1994) p. 635.
G.T. Trammell and J.P. Hannon, Phys. Rev. B 18 (1978) 165.
J.P. Hannon and G.T. Trammell, Physica B 159 (1989) 161.
E. Gerdau, R. Rüffer, R. Hollatz and J.P. Hannon, Phys. Rev. Lett. 57 (1986) 1141.
E. Gerdau and U. van Bürck, in: Resonant Anomalous X-Ray Scattering, eds. G. Materlik, C.J. Sparks and K. Fischer (Elsevier, Amsterdam, 1994) p. 589.
G.V. Smirnov, Hyp. Interact. 97/98 (1996) 551.
A.M. Afanas'ev and Yu. Kagan, Zh. Eksper. Teoret. Fiz. 64 (1973) 1958 (Soviet Phys. JETP 37 (1974) 987).
G. Borrmann, Physik. Z. 42 (1942) 157; Z. Physik 127 (1950) 297.
A.M. Afanas'ev and Yu. Kagan, Acta Cryst. A 24 (1968) 163.
V.A. Belyakov and Yu.M. Aivazjan, Pis'ma Zh. Eksper. Teoret. Fiz. 7 (1968) 477 (JETP Lett. 7 (1968) 368).
G.V. Smirnov, V.V. Sklyarevskii, R.A. Voskanyan and A.N. Artem'ev, Pis'ma Zh. Eksper. Teoret. Fiz. 9 (1969) 123 (JETP Lett. 9 (1969) 70).
G.V. Smirnov, Yu.V. Shvyd'ko, U. van Bürck and R.L. Mössbauer, Phys. Status Solidi 134 (1986) 465.
G.V. Smirnov, U. van Bürck and R.L. Mössbauer, J. Phys. C Solid State Phys. 21 (1988) 5835.
S.Sh. Shil'htein, V.I. Marukhin, M. Kalanov, V.A. Somenkov and L.A. Sisoev, Pis'ma Eksper. Teoret. Fiz. 12 (1970) 80 (JETP Lett. 12 (1970) 56).
S.Sh. Shil'htein, V.A. Somenkov and V.P. Dokashenko, Pis'ma Eksper. Teoret. Fiz. 13 (1971) 301 (JETP Lett. 13 (1971) 214).
H.J. Maurus, U. van Bürck, G.V. Smirnov and R.L. Mössbauer, J. Phys. C Solid State Phys. 17 (1984) 1991.
U. van Bürck, G.V. Smirnov, R.L. Mössbauer and Th. Hertrich, J. Phys. Condens. Matter 2 (1990) 3989.
Yu.V. Shvyd'ko and G.V. Smirnov, J. Phys. Condens. Matter 1 (1989) 10563.
L.D. Landau and E.M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, Oxford, 1990).
Yu. Kagan and A.M. Afanas'ev, Pis'ma Eksper. Teoret. Fiz. 5 (1967) 51 (JETP Lett. 5 (1967) 40).
J.P. Hannon, G.T. Trammell, M. Mueller, E. Gerdau, R. Rüffer and H. Winkler, Phys. Rev. B 32 (1985) 6374.
J. Arthur, G.S. Brown, D.E. Brown and S.L. Ruby, Phys. Rev. Lett. 63 (1989) 1629.
P.A. Aleksandrov and Yu. Kagan, Zh. Exsper. Teoret. Fiz. 59 (1970) 1733 (Soviet Phys. JETP 32 (1971) 942).
C. Sauer, E. Matthias and R.L. Mössbauer, Phys. Rev. Lett. 21 (1968) 961.
G.T. Trammell and J.P. Hannon, Phys. Rev. 180 (1969) 337.
Yu. Kagan, A.M. Afanas'ev and V.K. Voitovetskii, Pis'ma Zh. Eksper. Teoret. Fiz. 9 (1969) 155 (JETP Lett. 9 (1969) 91).
A.M. Afanas'ev and Yu. Kagan, Phys. Lett. A 31 (1970) 38.
Yu. Kagan, Pis'ma Zh. Eksper. Teoret. Fiz. 20 (1974) 27 (JETP Lett. 20 (1974) 11).
Yu. Kagan, in: Proc. of Internat. Conf. on Mössbauer Spectroscopy, Cracow (August 1975) Vol. 2, eds. A.Z. Hrynkiewicz and J.A. Sawicki, p. 17.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kagan, Y. Theory of coherent phenomena and fundamentals in nuclear resonant scattering. Hyperfine Interactions 123, 83–126 (1999). https://doi.org/10.1023/A:1017059504169
Issue Date:
DOI: https://doi.org/10.1023/A:1017059504169