Work

Cassini Ansatz in the Skyrme Model

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.23991

Authors: Gerasimeniuk, N. V., Korneev, A. A., Molochkov, A. V., Tkachev, O. G.

Institutions: Far Eastern Federal University, Beijing Institute of Mathematical Sciences and Applications, Tsinghua University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7214042175

Cites:

Cited by:

Related to: 10