Backscattering in the one-dimensional many-fermion system

The Sawada Hamiltonian model is generalized to include the backscattering interaction in a one-dimensional many-fermion system. The collective excitations of the particle-density fluctuations and the backscattering dielectric function are obtained. It is shown that the giant Kohn anomaly of the longitudinal phonon spectrum, observed in the quasi-one-dimensional conductors, is qualitatively reproduced within the present approach.