Cassini Ansatz in the Skyrme Model
N. V. Gerasimeniuk, A. A. Korneev, A. V. Molochkov, O. G. Tkachev
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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