Non-relativistic scattering of a spin-1/2 particle off a self-dual monopole

Details Non-relativistic scattering of a spin-1/2 particle off a self-dual monopole Non-relativistic scattering of a spin-1/2 particle off a self-dual monopole

2009-03-02

arxiv.org/abs/0903.0249v1

Mod.Phys.Lett.A3:1451-1460,1988

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures. Electronic version of a previously published paper. Neither the original text nor the list of references

Scientific paper

10.1142/S0217732388001744

The non-relativistic scattering of a spin-1/2 particle off a self-dual monopole reduces, for large distances, to the dyon problem, studied previously by D'Hoker and Vinet. The S matrix (calculated by Zwanziger's algebraic method based on the o(3,1)\oplus o(3) dynamical symmetry, discovered by D'Hoker and Vinet) is shown to factorize into the product of the spinless S-matrix, S_0, with a spin-dependent factor. The total cross-section is identical to the one found in the spinless case.

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