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Cassini Ansatz in the Skyrme Model
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≈ 0.14 GeV2, which is in good agreement with the string tension known from various models of confinement.
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BibTeX
@misc{gerasimeniuk2026cassini,
title = {{Cassini Ansatz in the Skyrme Model}},
author = {N. V. Gerasimeniuk and A. A. Korneev and A. V. Molochkov and O. G. Tkachev},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23991},
eprint = {2609.23991},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23991},
}
RIS
TY - UNPB
TI - Cassini Ansatz in the Skyrme Model
AU - N. V. Gerasimeniuk
AU - A. A. Korneev
AU - A. V. Molochkov
AU - O. G. Tkachev
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.23991
UR - https://arxiv.org/abs/2609.23991
AB - 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≈ 0.14 GeV^2, which is in good agreement with the string tension known from various models of confinement.
ER -