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We establish bounds on the maximum possible specific latent heat of coldneutron-star matter derived from hadron physics alone. Existing chiralperturbation theory computations for the equation of state, together withperturbative Quantum Chromodynamics, relevant at highest densities (even ifthey would turn out not to be physically realizable) bind the maximum latentheat which is possible in actual neutron stars. Because these are already neargravitational collapse in General Relativity, no denser form of cold matter canexist: thus, the bounds are a generic physical limit. Even in scenarios thatmodify the theory of gravity, the existence of a family of latent-heat maximais relevant to diagnose progress in the knowledge of the equation of state ofneutron matter, by quantifying the maximum possible (presumed) phase transitionthat its error bands would allow. Thus, latent heat is a natural benchmark forthe equation of state in cold QCD.

Maximum latent heat of neutron star matter independently of General Relativity