# How harmonic is dipole resonance of metal clusters?

Source: [How harmonic is dipole resonance of metal clusters?](<https://www.sota2.com/research/paper/68fa24ee2c2a3760193aabf6>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:40:52.177Z

Authors: K. Hagino

Published: 1999-01-13T23:07:10.000Z

## Abstract

We discuss the degree of anharmonicity of dipole plasmon resonances in metal clusters. We employ the time-dependent variational principle and show that the relative shift of the second phonon scales as $N^{-4/3}$ in energy, $N$ being the number of particles. This scaling property coincides with that for nuclear giant resonances. Contrary to the previous study based on the boson-expansion method, the deviation from the harmonic limit is found to be almost negligible for Na clusters, the result being consistent with the recent experimental observation.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/physics/9901016>)

[PDF](<https://arxiv.org/pdf/physics/9901016.pdf>)