[en] The possibility of Josephson tunneling between superconducting small particles is examined. The Josephson coupling between the particles, which results from tunneling of Cooper pairs, is inserted into a modified Ginzburg-Landau free energy. The local electronic properties, the effective gap Δ and the order parameter relaxation rate GAMMA, are calculated in the Hartree approximation of this coupling free energy. A general expression, valid for any number N of particles coupled in a closed chain, was derived for the effective gap. A method for deriving the spectrum of the order parameter correlation function for any N was developed and analytical expressions were obtained up to N = 8. The order parameter relaxation rate was determined as the halfwidth at half maximum of this spectrum