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We revisit two old and apparently little known papers by Basuev [2] [3] andshow that the results contained there yield strong improvements on currentlower bounds of the convergence radius of the Mayer series for continuousparticle systems interacting via a very large class of stable and temperedpotentials which includes the Lennard-Jones type potentials. In particular weanalyze the case of the classical Lennard-Jones gas under the light of theBasuev scheme and, using also some new results [33] on this model recentlyobtained by one of us, we provide a new lower bound for the Mayer seriesconvergence radius of the classical Lennard-Jones gas which improves by afactor of the order $10^5$ on the current best lower bound recently obtained in[17].

On stable pair potentials with an attractive tail, remarks on two papers by A. G. Basuev