Particle acceleration near a rotating black hole in a Randall-Sundrum brane with a cosmological constant

We study particle acceleration in the strong gravitational field of a rotating black hole in a Randall-Sundrum brane with a nonvanishing effective cosmological constant. The strong dependence of the collision energy of the accelerating particles on the parameters, such as the radius of the innermost stable circular orbits rISCO and the value of the dimensionless parameter ξ=(rISCO-rₕ)/rₕ of the particles moving around the rotating black hole in a Randall-Sundrum brane space-time, has been found. It is shown that the contribution of the parameter ξ decreases the rate of acceleration and imposes a limitation on the energy of the accelerating particles, preventing them from having an infinite value. Finally, we study the ejected particles' energy from a collision of two accelerating particles around a rotating black hole in the brane.