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We investigate the dynamics of a neutral and a charged particle around astatic and spherically symmetric black hole in the presence of quintessencematter and external magnetic field. We explore the conditions under which theparticle moving around the black hole could escape to infinity after collidingwith another particle. The innermost stable circular orbit (ISCO) for theparticles are studied in detail. Mainly the dependence of ISCO on dark energyand on the presence of external magnetic field in the vicinity of black hole isdiscussed. By using the Lyapunov exponent, we compare the stabilities of theorbits of the particles in the presence and absence of dark energy and magneticfield. The expressions for the center of mass energies of the collidingparticles near the horizon of the black hole are derived. The effective forceon the particles due to dark energy and magnetic field in the vicinity of blackhole is also discussed.

Dynamics of Particles Around a Schwarzschild-like Black Hole in the Presence of Quintessence and Magnetic Field