  In this paper, the gravitational deflection of relativistic massive particles
up to the second post-Minkowskian order by static and spherically symmetric
wormholes is investigated in the weak-field limit. These wormholes include the
Janis-Newman-Winicour wormhole, a class of zero Ricci scalar scalar-tensor
wormholes, and a class of charged Einstein-Maxwell-dilaton wormholes. With the
Jacobi metric approach, the Gauss-Bonnet theorem is employed to study the
gravitational deflection. In this scheme, the deflection angle as a topological
effect is considered. Moreover, we analyze the influence of the spacetime
parameters on the results.
