Coupled Ripplon-Plasmon Modes in a Multielectron Bubble
S. N. Klimin (1,2), V. M. Fomin (1,2), J.Tempere (1,3), I. F. Silvera, (3) J. T. Devreese (1) ((1) TFVS, Universiteit Antwerpen - UIA, (2) FSM,, Universitatea de Stat din Moldova, (3) Lyman Laboratory of Physics, Harvard, University)

TL;DR
This paper investigates the interaction between surface oscillations and charge redistribution in multielectron bubbles, revealing unique ripplon-plasmon coupling behaviors distinct from flat helium surfaces.
Contribution
It derives the dispersion relation for charge redistribution modes and analyzes their coupling to bubble surface oscillations, highlighting differences from flat surface cases.
Findings
Derived the dispersion relation for longitudinal plasmons.
Analyzed the coupling between ripplons and plasmons.
Identified distinct coupling characteristics in multielectron bubbles.
Abstract
In multielectron bubbles, the electrons form an effectively two-dimensional layer at the inner surface of the bubble in helium. The modes of oscillation of the bubble surface (the ripplons) are influenced by the charge redistribution of the electrons along the surface. The dispersion relation for these charge redistribution modes (`longitudinal plasmons') is derived and the coupling of these modes to the ripplons is analysed. We find that the ripplon-plasmon coupling in a multielectron bubble differs markedly from that of electrons a flat helium surface. An equation is presented relating the spherical harmonic components of the charge redistribution to those of the shape deformation of the bubble.
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