Scattering of monopoles and decay of anti-monopolium

Undertaking the study of behaviour of a spin-1/2 non-Abelian magnetic monopole moving in the field of another non-Abelian monopole by solving Dirac's equation for energy eigen values and the Hamiltonian of this system has been shown to involve spin contribution. Spin momentum of a non-Abelian monopole has been shown to behave as extra energy source for non-Abelian monopole interacting with the field of another non-Abelian monopole. Interaction of spin and orbital moments of a non-Abelian monopole moving in the electromagnetic field has been analysed. S-matrix expansion, scattering amplitude and total Hamiltonian for monopole-anti-monopole scattering in non-Abelian gauge theory have also been undertaken. Study of bound state of a monopole and an anti-monopole in non-Abelian gauge theory has been carried out and it has been shown that this state is very short lived and decays in to two or three photons depending on the spin-statistics of the non-Abelian monopoles involved.

doi:10.4038/sljp.v2i0.180

Sri Lankan Journal of Physics, Vol.2 (2001) 53-69