Magnetized Particle Capture Cross Section for Braneworld Black Hole
Ozodbek Rahimov, Ahmadjon Abdujabbarov, Bobomurat Ahmedov

TL;DR
This paper investigates how the magnetic moment and spin of particles influence their capture cross section by braneworld black holes in magnetic fields, revealing that these factors can prevent particle capture.
Contribution
It introduces the effect of particle spin and brane parameters on the stability of particle orbits and capture cross section in braneworld black hole environments.
Findings
Particle spin and brane parameter enhance orbit stability.
Spin and brane effects reduce particle capture likelihood.
Stability of circular orbits depends on magnetic moment and brane parameter.
Abstract
Capture cross section of magnetized particle (with nonzero magnetic moment) by braneworld black hole in uniform magnetic field is considered. The magnetic moment of particle was chosen as it was done by \citet{rs99} and for the simplicity particle with zero electric charge is chosen. It is shown that the spin of particle as well as the brane parameter are to sustain the stability of particles circularly orbiting around the black hole in braneworld i.e. spin of particles and brane parameter try to prevent the capture by black hole.
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