  We propose a modification of the partial wave approach to deal with the
relativistic quantum scattering of bosonic and fermionic particles in a class
of models concerning gravitating cosmic string spacetimes. These spacetimes are
characterized by the Minkowski line element at the center of the vortex,
non-vanishing curvature at a finite distance from the center but with a conical
structure far from the core. We find the correction in the partial wave
expansion and the phase shift. Consequently, we show the explicit form of the
scattering amplitude and the correction to the differential cross-section for a
massive scalar field. We also implement our formalism in a toy model mimicking
this class of gravitating cosmic string spacetime. Moreover, we discuss the
procedure to apply this formalism to a massive Dirac field.

High Energy Physics - Theory