The high-temperature relaxation function of a spin system with a quadraticcontribution of fluctuations to the resonance frequency

We investigate the high-temperature relaxation function of a spin system wi th quadratic coupling of the resonance frequency to the Gaussian random pro cess. In the general case, this function is expressed as an integral of an infinite auxiliary series. For the N-exponential Gauss-Markov process, the problem is reduced to solving a system of 2N linear equations. For brevity, we analyze the effect of fluctuations on the form of the magnetic resonanc e line (the Fourier image of the relaxation function). For bath the one- an d multiexponential processes in a crystal with dynamics of a relaxation typ e in the continuous phase transition domain, we find a nonmonotonic depende nce of the asymmetrical homogeneously widened resonance Line on the rate of fluctuations.