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Nuclear matter
About: Nuclear matter is a research topic. Over the lifetime, 10180 publications have been published within this topic receiving 248261 citations.
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TL;DR: In this article, the free energy per nucleon f(T, n) in Landau's quasiparticle approximation was derived from it, and the degenerate limit of nuclear matter was discussed in particular.
70 citations
TL;DR: In this paper, the authors investigated the properties of symmetric nuclear and pure neutron matter within an extended self-consistent Green's function method that includes the effects of three-body forces.
Abstract: The properties of symmetric nuclear and pure neutron matter are investigated within an extended self-consistent Green's function method that includes the effects of three-body forces. We use the ladder approximation for the study of infinite nuclear matter and incorporate the three-body interaction by means of a density-dependent two-body force. This force is obtained via a correlated average over the third particle, with an in-medium propagator consistent with the many-body calculation we perform. We analyze different prescriptions in the construction of the average and conclude that correlations provide small modifications at the level of the density-dependent force. Microscopic as well as bulk properties are studied, focusing on the changes introduced by the density-dependent two-body force. The total energy of the system is obtained by means of a modified Galitskii-Migdal-Koltun sum rule. Our results validate previously used uncorrelated averages and extend the availability of chirally motivated forces to a larger density regime.
70 citations
TL;DR: In this paper, a simple outline of correlated basis perturbation theory is given to study the optical potential of nucleons in nuclear matter and the second-order CBF correction to the binding energy is calculated.
70 citations
TL;DR: In this paper, the size and smoothness properties of the correlated EFT truncation error were extracted from high-order many-body perturbation theory calculations with nucleon-nucleon and three-Nucleon interactions up to fourth order in the chiral effective field theory.
Abstract: We perform statistically rigorous uncertainty quantification (UQ) for chiral effective field theory ($\ensuremath{\chi}\mathrm{EFT}$) applied to infinite nuclear matter up to twice nuclear saturation density. The equation of state (EOS) is based on high-order many-body perturbation theory calculations with nucleon-nucleon and three-nucleon interactions up to fourth order in the $\ensuremath{\chi}\mathrm{EFT}$ expansion. From these calculations our newly developed Bayesian machine-learning approach extracts the size and smoothness properties of the correlated EFT truncation error. We then propose a novel extension that uses multitask machine learning to reveal correlations between the EOS at different proton fractions. The inferred in-medium $\ensuremath{\chi}\mathrm{EFT}$ breakdown scale in pure neutron matter and symmetric nuclear matter is consistent with that from free-space nucleon-nucleon scattering. These significant advances allow us to provide posterior distributions for the nuclear saturation point and propagate theoretical uncertainties to derived quantities: the pressure and incompressibility of symmetric nuclear matter, the nuclear symmetry energy, and its derivative. Our results, which are validated by statistical diagnostics, demonstrate that an understanding of truncation-error correlations between different densities and different observables is crucial for reliable UQ. The methods developed here are publicly available as annotated Jupyter notebooks.
70 citations
TL;DR: In this article, an equation of state of cold nuclear matter with an arbitrary isotopic composition is studied within a relativistic mean-field approach with hadron masses and coupling constants depending self-consistently on the scalar mean field.
70 citations