Nuclear thermodynamics from chiral low-momentum interactions

Wellenhofer, Corbinian; Holt, Jeremy W.; Kaiser, Norbert; Weise, W.

doi:10.1103/physrevc.89.064009

Cited by 95 publications

(142 citation statements)

References 356 publications

(1,002 reference statements)

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“…Nevertheless, the results are remarkably consistent with each other. In fact, an advanced ChEFT calculation [94] starting from low-momentum chiral N N and 3N interactions, with a cutoff varied in the interval 400−500 MeV, determines the critical temperature in the range T c = 17−19 MeV which compares very well with the FRG-ChNM result, Eq. (131).…”

Section: Nuclear Thermodynamics and The Liquid-gas Transitionsupporting

confidence: 71%

“…12 displays the coexistence region of the liquid-gas phase transition in the temperature-density plane. Mean-field and full FRG results of the ChNM model are compared with (perturbative) ChEFT computations: an earlier NLO computation including explicit ∆(1230) degrees of freedom [91], and a more recent advanced calculation using N 3 LO chiral NN interactions together with N 2 LO threebody forces [94]. This latter ChEFT result agrees very well with that of the FRGChNM model once fluctuations are taken into account.…”

Section: Nuclear Thermodynamics and The Liquid-gas Transitionsupporting

confidence: 69%

“…For symmetric and asymmetric nuclear matter (including thermodynamics), uncertainty estimates can be drawn from recent advanced perturbative ChEFT calculations such as those of Refs. [92,93,94,95]. For example, the energy per particle in neutron matter at n ∼ n 0 is subject to an uncertainty of ∆E n /A 4 MeV, opening up to a band at higher densities that is comparable to the grey "QMC" area in Fig.…”

Section: Asymmetric Nuclear Matter and Neutron Mattermentioning

confidence: 99%

“…[91]. Short-dashed line (ChEFT2): advanced ChEFT calculation using N 3 LO chiral NN interaction together with N 2 LO three-body forces in Kohn-Luttinger-Ward 2nd order many-body perturbation theory [94]. The dots indicate the respective critical endpoints.…”

Section: Nuclear Thermodynamics and The Liquid-gas Transitionmentioning

confidence: 99%

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Functional renormalization group studies of nuclear and neutron matter

Drews

Weise

2017

Progress in Particle and Nuclear Physics

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Functional renormalization group (FRG) methods applied to calculations of isospinsymmetric and asymmetric nuclear matter as well as neutron matter are reviewed. The approach is based on a chiral Lagrangian expressed in terms of nucleon and meson degrees of freedom as appropriate for the hadronic phase of QCD with spontaneously broken chiral symmetry. Fluctuations beyond mean-field approximation are treated solving Wetterich's FRG flow equations. Nuclear thermodynamics and the nuclear liquid-gas phase transition are investigated in detail, both in symmetric matter and as a function of the proton fraction in asymmetric matter. The equations of state at zero temperature of symmetric nuclear matter and pure neutron matter are found to be in good agreement with advanced ab-initio many-body computations. Contacts with perturbative many-body approaches (in-medium chiral perturbation theory) are discussed. As an interesting test case, the density dependence of the pion mass in the medium is investigated. The question of chiral symmetry restoration in nuclear and neutron matter is addressed. A stabilization of the phase with spontaneously broken chiral symmetry is found to persist up to high baryon densities once fluctuations beyond mean-field are included. Neutron star matter including beta equilibrium is discussed under the aspect of the constraints imposed by the existence of two-solar-mass neutron stars.

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Section: Nuclear Thermodynamics and The Liquid-gas Transitionsupporting

confidence: 71%

Section: Nuclear Thermodynamics and The Liquid-gas Transitionsupporting

confidence: 69%

Section: Asymmetric Nuclear Matter and Neutron Mattermentioning

confidence: 99%

Section: Nuclear Thermodynamics and The Liquid-gas Transitionmentioning

confidence: 99%

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Functional renormalization group studies of nuclear and neutron matter

Drews

Weise

2017

Progress in Particle and Nuclear Physics

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“…Examples of EOSs in which the role of three-body interactions at finite temperature have been investigated can be found in Refs. [40][41][42]. To our knowledge, tests of the causal behavior of these EOSs at high density and finite temperature have not been performed to date.…”

Section: Introductionmentioning

confidence: 99%

Enforcing causality in nonrelativistic equations of state at finite temperature

Constantinou

Prakash

2017

Phys. Rev. C

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We present a thermodynamically consistent method by which equations of state based on nonrelativistic potential models can be modified so that they respect causality at high densities, both at zero and finite temperature (entropy). We illustrate the application of the method using the high density phase parametrization of the well known APR model in its pure neutron matter configuration as an example. We also show that, for models with only contact interactions, the adiabatic speed of sound is independent of the temperature in the limit of very large temperature. This feature is approximately valid for models with finite-range interactions as well, insofar as the temperature dependence they introduce to the Landau effective mass is weak. In addition, our study reveals that in first principle nonrelativistic models of hot and dense matter, contributions from higher than two-body interactions must be screened at high density to preserve causality.

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Nuclear Equation of State for Compact Stars and Supernovae

Burgio

Fantina

2018

Astrophysics and Space Science Library

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The equation of state (EoS) of hot and dense matter is a fundamental input to describe static and dynamical properties of neutron stars, core-collapse supernovae and binary compact-star mergers. We review the current status of the EoS for compact objects, that have been studied with both ab-initio many-body approaches and phenomenological models. We limit ourselves to the description of EoSs with purely nucleonic degrees of freedom, disregarding the appearance of strange baryonic matter and/or quark matter. We compare the theoretical predictions with different data coming from both nuclear physics experiments and astrophysical observations. Combining the complementary information thus obtained greatly enriches our insight into the dense nuclear matter properties. Current challenges in the description of the EoS are also discussed, mainly focusing on the model dependence of the constraints extracted from either experimental or observational data, the lack of a consistent and rigorous many-body treatment at zero and finite temperature of the matter encountered in compact stars (e.g. problem of cluster formation and extension of the EoS to very high temperatures), the role of nucleonic three-body forces, and the dependence of the direct URCA processes on the EoS.

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Nuclear thermodynamics from chiral low-momentum interactions

Cited by 95 publications

References 356 publications

Functional renormalization group studies of nuclear and neutron matter

Functional renormalization group studies of nuclear and neutron matter

Enforcing causality in nonrelativistic equations of state at finite temperature

Nuclear Equation of State for Compact Stars and Supernovae

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