Skyrmion Solutions to the Weinberg-Salam Model

We find a spherically symmetric solution to the gauged ${\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}}_L\otimes {\mathrm{SU}\mathrm{}\left(2\right)\mathrm{}}_R$ chiral model. It corresponds to a new classical solution to the Weinberg-Salam model in the limit of infinite self-coupling and ${sin}^2{\theta }_{\mathrm{W}}=0\mathrm{}$. It has an energy of 11.6 TeV and is classically unstable under small perturbations of the fields. Quantum corrections may stabilize the solution via the introduction of higher-order terms in the effective action. We then investigate the solutions when a particular choice of a correction, the Skyrme term, is added to the Lagrangean. The energies of the (presumably) classically stable solutions are in the teraelectronvolt region.