Bifurcation in monopole-antimonopole pair of the SU(2)×U(1) Weinberg-Salam theory

In this study, we investigate the Monopole-Antimonopole Pair (MAP) solution in the SU(2)×U(1) Weinberg- Salam theory with ¢-winding number, n = 3 for bifurcation phenomena. At n = 3, the ‘t Hooft-Polyakov monopole merges with antimonopole to form a vortex ring. Other than fundamental solution, two new bifurcating full vortex ring solution branches were found when Higgs coupling constant, λ reaches a critical value λc. The two new branches possess higher energies than the fundamental solutions. These solutions behave differently from the vortex ring configuration we studied in SU(2) Georgi-Glashow theory. We investigated on the total energy E, vortex ring diameter dρ, and magnetic dipole moment µm, for 0 ≤ λ ≤49.