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Temperature and Momentum Dependence of Phonon Energies in Superfluid 4He

  • Shlomo Havlin
  • Marshall Luban

Abstract

One of the challenging theoretical problems relating to superfluid 4He is the detailed form of the phonon portion of the elementary excitation spectrum ε p . For wave vectors p/ħ in the range 0.2–1.0 Å−1, the inelastic neutron scattering data1 yield ε p = c o p,(1 − γ p 2δ p 4 − ...), where γ = (0 ± 2) × 1036 g−2 cm−2 sec2 and δ = (2.4 ± 0.2) × 1075 g−4 cm−4 sec4. For these wave vectors the term γ p 2 can be neglected and thus 1 − δ p 4 are the leading terms for ε p /c o p. To date no theoretical work yields 1 − δ p 4 as the leading terms for ε p /c o p.

Keywords

Sound Velocity Phonon Energy Inelastic Neutron Energy Shell Landau Quantum 
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.

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Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • Shlomo Havlin
    • 1
  • Marshall Luban
    • 1
  1. 1.Department of PhysicsBar-Ilan UniversityRamat-GanIsrael

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