Microscopic predictions of the nuclear matter liquid-gas phase transition

Abstract

We present first-principle predictions for the liquid-gas phase transition in symmetric nuclear matter employing both two- and three-nucleon chiral interactions. Our discussion focuses on the sources of systematic errors in microscopic quantum many body predictions. On the one hand, we test uncertainties of our results arising from changes in the construction of chiral Hamiltonians. We use five different chiral forces with consistently derived three-nucleon interactions. On the other hand, we compare the ladder resummation in the self-consistent Green's functions approach to finite temperature Brueckner--Hartree--Fock calculations. We find that systematics due to Hamiltonians dominate over many-body uncertainties. Based on this wide pool of calculations, we estimate that the critical temperature is $T_c=16\pm 2$ MeV, in reasonable agreement with experimental results. We also find that there is a strong correlation between the critical temperature and the saturation energy in microscopic many-body simulations.

14 pages, 7 figures

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• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Hot neutron matter from a Self-Consistent Green's Functions approach
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• Thermodynamic properties of nuclear matter with three-body forces
• Charged-current reactions in the supernova neutrino-sphere
• Critical temperature for the nuclear liquid-gas phase transition (from multifragmentation and fission)
• The entropy of a correlated system of nucleons
• Correlations between critical parameters and bulk properties of nuclear matter
• Temperature dependence of single-particle properties in nuclear matter
• Latent heat of nuclear matter
• Covariance analysis of finite temperature density functional theory: symmetric nuclear matter

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