The Soliton and Bisoliton Input into the Elastic Scattering of Slow Neutrons

  • Larisa Brizhik
Part of the NATO ASI Series book series (NSSB, volume 243)


The wide use of the Davydov soliton model [1] in bioenergetics [2] and superconductivity [3, 4] raises a question of direct experimental evidence for the existence of solitons and bisolitons in quasi-one-dimensional systems and investigation of their properties. As far as both solitons and bisolitons are localized electrons or intermolecular excitations [1] or their bound state [5], respectively, moving along the chain with its local deformation, it is natural to expect their influence on the scattering spectra of extra radiations, including slow neutrons. Here elastic coherent scattering of ultracold neutrons by the Davydov soliton or bisoliton propagating with velocity V along the chain of similar subunits (peptide groups, e.g.) is studied in the assumption of small role of thermal vibrations. If the neutron energy is of order 10−5−10−7 eV, then its de Broglie wavelength (10−7—10−8m) exceeds the (bi)soliton size, which is usually several chain units. That is why nuclei of the same isotope from different subunits scatter neutrons coherently provided the (bi)soliton velocity is small. The second important circumstance arises because the (bi)soliton kinetic energy is large compared with that of an ultracold neutron. So the (bi)soliton velocity change in the result of a collision with a neutron may be neglected, and one can study elastic coherent scattering only.


Direct Experimental Evidence Peptide Group Slow Neutron Chain Unit Ultracold Neutron 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    A.S. Davydov and N.I. Kislukha, Solitons in one-dimensional molecular chains, phys. stat. sol. (b) 75: 735 (1976).ADSCrossRefGoogle Scholar
  2. [2]
    A.S. Davydov, Solitons in molecular systems, Physica Scripta 20: 387 (1979).MathSciNetADSzbMATHCrossRefGoogle Scholar
  3. [3]
    L.S. Brizhik and A.S. Davydov, Nonlinear theory of conductivity in quasi-one-dimensional molecular crystals, Sov. Fiz. Nizk. Temp. 10: 358 (1984).Google Scholar
  4. [4]
    L.S. Brizhik and A.S. Davydov, Soliton mechanism of superconductivity in organic quasi-one-dimensional crystals, phys. stat. sol. (b) 143: 689 (1987).ADSCrossRefGoogle Scholar
  5. [5]
    L.S. Brizhik and A.S. Davydov, Binding of electrosolitons in soft molecular chains, Sov. Fiz. Nizk. Temp. 10: 748 (1984).Google Scholar
  6. [6]
    A. Akhiezer and I. Pomeranchuk, “Some aspects of the nuclei theory”, Cos. Izd. Techn.-Teoret. Lit., Moscow-Leningrad (1950).Google Scholar
  7. [7]
    M. Goldberger and K. Watson, “The theory of collisions”, Mir, Moscow (1967).Google Scholar
  8. [8]
    L.S. Brizhik, The theory of scattering of ultracold neutrons by Davydov’s solitons, Ukr. Fiz. Zh. 29: 492 (1984).Google Scholar
  9. [9]
    V.M. Adamyan and A.L. Mitler, The calculation of soliton input in cross-section of neutron scattering by molecular chains, Ukr. Fiz. Zh. 26: 205 (1981).Google Scholar
  10. [10]
    D.E. Moncton, D.B. Whan, and P.H. Schmidt, Oscillatory magnetic fluctuations near the superconductor-to-ferromagnet transition in ErRh4B4 Phys. Rev. Lett. 45: 2060 (1980).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Larisa Brizhik
    • 1
  1. 1.Institute for Theoretical PhysicsAcademy of Sciences of the Ukrainian SSRKievUkrain

Personalised recommendations