The scaling region of the nonunitary minimal conformal model M3,5 is described by three different integrable massive field theories. We propose the scattering theory for the integrable deformation of M3,5 by the field-psi with anomalous dimensions (3/4, 3/4). The spectrum of this theory is confirmed by the Truncation Conformal Space Approach. We also consider the thermodynamics of the one-dimensional quantum system defined by the transfer matrix relative to the deformation of M3,5 by the field-phi with anomalous dimensions (1/5, 1/5). This deformation drives the original conformal model into a region of the phase diagram where there are plasma oscillations.
