2006/05/18 by V. I. Kruglov, Kruglov, V. I., M. J. Collett +1
Environmental Science · Physics and Astronomy · #FOS: Physical sciences #Methane Hydrates and Related Phenomena #Quantum, superfluid, helium dynamics #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0605442
1 figure
arxiv created 2006/05/18 · openalex publication_date 2006/05/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We 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.