Particle motion and lensing with plasma of acoustic Schwarzschild black hole

This paper is motivationally based on the study revealing the characteristics of Acoustic Schwarzschild BHs in respect of particle dynamics, and weak gravitational plasma lensing. We discuss the particle dynamics by studying the effective potential, ISCO, for massive particle and photon motion. We consider the weak gravitation field to study the gravitational lensed photons. This purpose of lensing is served by taking under consideration three fields of plasma uniform plasma, singular isothermal sphere and a nonsingular isothermal sphere. Each field is separately incorporated to calculate the plasma deflection angle, which is further utilized in the image magnification associated with the source brightness for uniform plasma and singular isothermal sphere as a selective case. All the obtained results are compared with the Schwarzschild black hole case as a standard.