Gravitational deflection of charged massive particle around charged galactic wormhole

Recently, we proposed a novel charged wormhole spacetime based on Yoshiaki Sofue's exponential dark matter density profile, referred to as the Charged Galactic Wormhole. Our previous work explored the deflection of light and massive chargeless particles in this spacetime. Building upon this foundation, we now extend our study to investigate the deflection of charged massive particles around the charged galactic wormhole, unveiling new insights and opening several promising avenues for future research. To analyze this phenomenon, we employ two distinct methodologies. The first approach utilizes the Rindler-Ishak method, leveraging the Jacobi metric to compute the particle trajectories with high precision. The second approach adopts the Gauss-Bonnet theorem, providing a geometric and topological perspective of the deflection process. A detailed comparison of the results from these two approaches is presented, highlighting their consistency and differences, along with the physical implications. This work provides deeper insights into the interaction of gravitational and electromagnetic forces around charged galactic wormholes and their influence on particle motion, contributing to the theoretical understanding of such exotic spacetime structures.