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Cluster model of roton excitations in liquid4He
- Source :
- Journal of Physics B: Atomic, Molecular and Optical Physics. 41:035305
- Publication Year :
- 2008
- Publisher :
- IOP Publishing, 2008.
-
Abstract
- We have proposed a model of roton cluster excitations in liquid 4He based on a Schrodinger-type equation with a self-consistent confining potential. We have derived an equation for the number of atoms in the roton cluster, which can be treated as quantum 3D solitons depending on vibrational quantum numbers. It is shown that the smallest roton cluster is in the symmetric vibrational quantum state and consists of 13 helium atoms. We have also used a modified Born approximation to calculate the s-scattering length for helium atoms. This allows us to calculate all parameters of Landau's roton excitation spectrum, in agreement to high accuracy with experimental measurements from neutron scattering. It is also shown that the model leads to the saturation of the elementary excitation energy curve at twice the roton gap.
- Subjects :
- Condensed Matter::Quantum Gases
Physics
Neutron scattering
Condensed Matter Physics
Roton
Quantum number
Atomic and Molecular Physics, and Optics
Schrödinger equation
symbols.namesake
Quantum state
Physics::Atomic and Molecular Clusters
symbols
Cluster (physics)
Atomic physics
Born approximation
Excitation
Subjects
Details
- ISSN :
- 13616455 and 09534075
- Volume :
- 41
- Database :
- OpenAIRE
- Journal :
- Journal of Physics B: Atomic, Molecular and Optical Physics
- Accession number :
- edsair.doi...........04d5e8c5ab813cdc88cf89a383fecf01