Recently some of us studied the presence of superconductivity (SC) under hydrostatic pressure (0?2.5 GPa) in Sr0.5RE0.5FBiS2 with R = Ce, Pr, Nd, and Sm (crystallized in tetragonal P4/nmm space group). At ambient pressure, though the RE = Ce (also La) exhibits the onset of SC below 2.7 K, the Nd, Pr, and Sm samples are not superconducting down to 2 K. Further RE=Ce and Sm show an onset of ferromagnetic transition below 8 K at ambient pressure. With application of hydrostatic pressure (up to 2.5 GPa), superconducting transition temperature (Tc) is increased to around 10 K (at 1.5Gpa) for all the studied samples. We propose here to investigate superconducting ground state of Sr0.5RE0.5FBiS2 through inelastic neutron scattering experiments to investigate the crystalline electric field (CEF) excitations of rare earth ion (RE3+=Ce, Pr and Nd) as well as phonon density of state.