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The Electron-Ion collider (EIC) will be the ultimate facility to study thedynamics played by the colored quarks and gluons to the emergence of the globalphenomenology of the nucleons and nuclei as described by QuantumChromodynamics. The physics programs will greatly rely on efficient particleidentification (PID) in both the forward and the backward regions. The forwardand the backward RICHes of the EIC have to be able to cover wide acceptance andmomentum ranges; in the forward region a dual radiator RICH (dRICH) is foreseenand in the backward region a proximity-focusing RICH can be foreseen to beemployed. The geometry and the performance studies of the dRICH have beenperformed as prescribed in the EIC Yellow Report using the ATHENA softwareframework. This part of our work reports the effort following the call for EICdetector proposal the studies related to the forward and the backward RICHesperformance. In the forward region, dRICH performance showed a pion-kaonseparation from around 1 GeV/c to 50 GeV/c at a three sigma level; theproximity focusing RICH (pfRICH) foreseen for the backward region can reachthree sigma separation up to 3 GeV/c for e/$\pi$ and up to 10 GeV/c for $\pi$/Kmass hypothesis.

Simulation studies related to the particle identification by the forward and backward RICH detectors at Electron Ion Collider