From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions

Gandolfi, Stefano; Lovato, Alessandro; Carlson, J.; Schmidt, Kevin

doi:10.1103/physrevc.90.061306

Cited by 59 publications

(52 citation statements)

References 56 publications

(113 reference statements)

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“…[50] S is obtained as the difference between the PNM and the SNM equations of state at a given density. For microscopic approaches (like MBPT) these two definitions of S give very similar values (see e.g., [86,87]). …”

Section: A Zero Temperaturementioning

confidence: 98%

Microscopically constrained mean-field models from chiral nuclear thermodynamics

2016

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We explore the use of mean field models to approximate microscopic nuclear equations of state derived from chiral effective field theory across the densities and temperatures relevant for simulating astrophysical phenomena such as core-collapse supernovae and binary neutron star mergers. We consider both relativistic mean field theory with scalar and vector meson exchange as well as energy density functionals based on Skyrme phenomenology and compare to thermodynamic equations of state derived from chiral two-and three-nucleon forces in many-body perturbation theory. Quantum Monte Carlo simulations of symmetric nuclear matter and pure neutron matter are used to determine the density regimes in which perturbation theory with chiral nuclear forces is valid. Within the theoretical uncertainties associated with the many-body methods, we find that select mean field models describe well microscopic nuclear thermodynamics. As an additional consistency requirement, we study as well the single-particle properties of nucleons in a hot/dense environment, which affect e.g., charged-current weak reactions in neutron-rich matter. The identified mean field models can be used across a larger range of densities and temperatures in astrophysical simulations than more computationally expensive microscopic models.

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Section: A Zero Temperaturementioning

confidence: 98%

Microscopically constrained mean-field models from chiral nuclear thermodynamics

2016

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“…[37,38]. Recently, there has been new work on this subject using perturbative chiral effective field theory (EFT) [39] and auxiliary field diffusion Monte Carlo [40]. Both of these works have shown that the quadratic expansion of cold nuclear matter works very well; however, they did not constrain the fourth-order symmetry energy directly.…”

Section: Experimental Constraintsmentioning

confidence: 99%

Nucleon self-energies for supernova equations of state

Hempel

2015

Phys. Rev. C

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Nucleon self-energies and interaction potentials in supernova (SN) matter, which are known to have an important effect on nucleosynthesis conditions in SN ejecta are investigated. Corresponding weak charged-current interaction rates with unbound nucleons that are consistent with existing SN equations of state (EOSs) are specified. The nucleon self-energies are made available online as electronic tables. The discussion is mostly restricted to relativistic mean-field models. In the first part of the article, the generic properties of this class of models at finite temperature and asymmetry are studied. It is found that the quadratic expansion of the EOS in terms of asymmetry works reasonably well at finite temperatures and deviations originate mostly from the kinetic part. The interaction part of the symmetry energy is found to be almost temperature independent. At low densities, the account of realistic nucleon masses requires the introduction of a linear term in the expansion. Finally, it is shown that the important neutron-to-proton potential difference is given approximately by the asymmetry of the system and the interaction part of the zero-temperature symmetry energy. The results of different interactions are then compared with constraints from nuclear experiments and thereby the possible range of the potential difference is limited. In the second part, for a certain class of SN EOS models, the formation of nuclei is considered. Only moderate modifications are found for the self-energies of unbound nucleons that enter the weak charged-current interaction rates. This is because in the present approach the binding energies of bound states do not contribute to the single-particle energies of unbound nucleons.

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“…For going beyond light nuclei, one can either combine these forces with standard many-body methods like the no-core-shell-model, the coupled cluster approach, and so on (for some recent such works see Refs. [5][6][7][8][9][10][11]) or develop a novel scheme that uses lattice methods to tackle the nuclear many-body problem. This is the approach I will discuss here.…”

Section: Introductionmentioning

confidence: 99%