  This paper investigates the motion and acceleration of a particle that is
electrically and magnetically charged, which rotates around a cylindrical black
hole in the presence of an external asymptotically uniform magnetic field
parallel to the z axis. Basically, the work considers the circular orbits of
particles rotating around the central object and studies the dependence of the
most internal stable circular orbits (ISCO) on the so-called magnetic coupling
parameters, which are responsible for the interaction between the external
magnetic field and magnetized and charged particles. It is also shown that the
ISCO radius decreases with increasing magnetized parameter. Therefore,
collisions of magnetized particles around a cylindrical black hole immersed in
an external magnetic field were also studied, and it was shown that the
magnetic field can act as a particle accelerator around non-rotating
cylindrical black holes.
