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arXiv · 2609.23991

Cassini Ansatz in the Skyrme Model

N. V. Gerasimeniuk·A. A. Korneev·A. V. Molochkov·O. G. Tkachev
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Abstract

We investigate the stretching of a spherically symmetric solution in the Skyrme model. The three-dimensional generalization of the Cassini ovals is considered as ansatz of extension. The linear dependence of static energy on the longitudinal deformation parameter is obtained with a slope $σ\approx 0.14\ \mathrm{ GeV}^2$, which is in good agreement with the string tension known from various models of confinement.

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N. V. Gerasimeniuk, A. A. Korneev, A. V. Molochkov, O. G. Tkachev. 2026-09-21. Cassini Ansatz in the Skyrme Model. https://arxiv.org/abs/2609.23991

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