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We provide a lower bound for the convergence radius of the Mayer series ofthe Lennard-Jones gas which strongly improves on the classical bound obtainedby Penrose and Ruelle 1963. To obtain this result we use an alternativeestimate recently proposed by Morais et al. (J. Stat. Phys. 2014) for arestricted class of stable and tempered pair potentials (namely those which canbe written as the sum of a non-negative potential plus an absolutely integrableand stable potential) combined with a method developed by Locatelli and Schoen(J. Glob. Optim. 2002) for establishing a lower bound for the minimalinteratomic distance between particles interacting via a Morse potential in acluster of minimum-energy configurations.

The Mayer series of the Lennard-Jones gas: improved bounds for the convergence radius