Coexistence of monopole and half-monopole in the Weinberg-Salam model.

In this work, we study the one plus half-monopole configuration in Weinberg-Salam model, covering ¢-winding number n=1. We observed that while the finite separation between the one-monopole and the half-monopole becomes larger as compared to the same configuration in Georgi-Glashow model, a flux tube is established, creating a bound-state of one-monopole and half-monopole in Weinberg-Salam model. There is no electromagnetic current loop circulating the pair of one-monopole and half-monopole, but the system possesses non-vanishing magnetic dipole moment. The non-Abelian gauge potential and the electromagnetic gauge potential are singular along the negative z-axis, but the total energy is finite. The solutions are investigated by fixing the Weinberg angle while varying the Higgs self-coupling constant and vice versa. It is shown that this configuration in Weinberg-Salam model possesses different behaviours than its counterpart in Georgi-Glashow model. [ABSTRACT FROM AUTHOR]