Self-Consistent Model of Roton Cluster Excitations in Liquid Helium II

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dc.creatorKruglov, V. I.
dc.creatorCollett, M. J.
dc.date2006-05-18
dc.date.accessioned2026-07-07T07:09:01Z
dc.date.available2026-07-07T07:09:01Z
dc.descriptionWe have proposed a model of roton cluster excitations in liquid helium~II based on a Schrödinger-type equation with a self-consistent confining potential. We have derived an equation for the number of atoms in roton excitations, which can be treated as quantum $3{\rm D}$ 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.
dc.description1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0605442
dc.identifierhttp://arxiv.org/abs/cond-mat/0605442
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110917
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleSelf-Consistent Model of Roton Cluster Excitations in Liquid Helium II
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