For any finite-range repulsive multi-body potential, the Gibbs partition function is zero-free on the disk |λ| < 1/(eB_R), yielding analyticity of the pressure.
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Simple analyticity criteria for repulsive multi-body potentials
For any finite-range repulsive multi-body potential, the Gibbs partition function is zero-free on the disk |λ| < 1/(eB_R), yielding analyticity of the pressure.