  We investigate the physics of elementary excitations for the so called
relativistic scalar plasma system. Following the standard many-body procedure
we have obtained the RPA equations for this model by linearizing the TDHFB
equations of motion around equilibrium and shown that these oscillation modes
give one-meson and two-fermion state of the theory. The resulting equations
have a closed solution, from which one can examinate the spectrum of excitation
modes. In partticular, our results indicate existence of bound state for
certain region of phase diagram.
