Monopoles and dyons in SO(3) gauged Skyrme models

Three-dimensional SO(3) gauged Skyrme models characterized by specific pote ntials imposing special asymptotic values on the chiral field are considere d. These models are shown to support finite energy solutions with nonvanish ing magnetic and electrix flux, whose energies are bounded from below by tw o distinct charges-the magnetic (monopole) charge and a noninteger version of the Baryon charge. Unit magnetic charge solutions are constructed numeri cally and their properties characterized by the chosen asymptotics and the Skyrme coupling are studied. For a particular value of the chosen asymptoti cs, charge-2 axially symmetric solutions are also constructed and the attra ctive nature of the like-monopoles of this system are exhibited. As an indi cation toward the possible existence of large clumps of monopoles, some con sideration is given to axially symmetric monopoles of charges 2,3,4. (C) 20 01 American Institute of Physics.