ON THE EXISTENCE OF BOUND-STATES FOR A MASSIVE SPIN-ONE PARTICLE AND A MAGNETIC MONOPOLE

We analyze the interaction of a magnetic monopole with a massive spin-one particle. The necessary angular momentum algebra, involving vector monopole harmonics, is developed. Physically acceptable states must lead to Hamiltonians whose differences are integrable. While an extra magnetic moment can lead to attraction at large distances, no value of the magnetic moment leads simultaneously to a physically acceptable behavior of the wave function at the origin. For no value of the magnetic moment do bound states exist, unless an additional short-range interaction is introduced. © 1990 The American Physical Society.