MULTISPHALERONS IN THE WEAK-INTERACTIONS

We construct multisphaleron solutions in the weak interactions. The multisphaleron solutions carry Chem-Simons charge n/2, where n is an integer. The well-known sphaleron has n = 1 and is spherically symmetric for vanishing mixing angle. In contrast the multisphalerons with n > 1 are only axially symmetric, even for vanishing mixing angle. The greater n, the stronger the energy density deforms. While for small Higgs masses the energy of the multisphalerons is smaller than n times the energy of the sphaleron, the energy of the multisphalerons is larger than n times the energy of the sphaleron for large Higgs masses.