A Neutron Scattering Investigation of Bose-Einstein Condensation in Superfluid 4He

  • H. A. Mook
  • R. Scherm
  • M. K. Wilkinson


London1 suggested in 1938 that many of the strange properties of superfluid 4He result from the fact that below the λ point some of the 4He atoms undergo Bose-Einstein condensation to a zero-momentum state. Hohenberg and Platzman2 suggested that this proposal of a zero-momentum state could be checked by high-energy neutron inelastic scattering from 4He. The cross section for such a process is given by
$${d^2}\sigma /dE\;d\Omega = {b^2}(k'/{k_0})S(Q,\omega )$$
where b is the scattering amplitude for 4He; k0 and k' are the incoming and outgoing wave vectors, respectively; and S (Q, ω) is the scattering law. For high-energy neutrons
$$S(Q,\omega ) = \sum\limits_p n (p)[h\omega - ({h^2}/2M)({Q^2} + 2Q \cdot p)]$$
where n(p) is the 4He momentum distribution, Q is the neutron momentum transfer, and M is the 4He mass.


Neutron Inelastic Scattering Condensate Fraction Resolution Width Strange Property Solid State Division 
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Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • H. A. Mook
    • 1
  • R. Scherm
    • 1
    • 2
  • M. K. Wilkinson
    • 1
  1. 1.Solid State DivisionOak Ridge National LaboratoryOak RidgeUSA
  2. 2.Institut Max von Laue—Paul LangevinGrenobleFrance

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