Branch Processes of Regular Magnetic Monopole

In this paper, by making use of Duan's topological currenttheory, the branch process of regular magnetic monopoles isdiscussed in detail. Regular magnetic monopoles are found generatingor annihilating at the limit point and encountering, splitting, ormerging at the bifurcation point and the degenerate point systematically of the vector order parameter field vec{ø}(x). Furthermore, it is also shown that when regular magnetic monopoles split or merge at the degenerate point of field function vec{ø}, the total topological charges of the regular magnetic monopoles arestill unchanged.