2021
DOI: 10.3390/universe7110399
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Beta Equilibrium under Neutron Star Merger Conditions

Abstract: We calculate the nonzero-temperature correction to the beta equilibrium condition in nuclear matter under neutron star merger conditions, in the temperature range 1MeV<T≲5MeV. We improve on previous work using a consistent description of nuclear matter based on the IUF and SFHo relativistic mean field models. This includes using relativistic dispersion relations for the nucleons, which we show is essential in these models. We find that the nonzero-temperature correction can be of order 10 to 20 MeV, and pla… Show more

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Cited by 32 publications
(34 citation statements)
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References 63 publications
(92 reference statements)
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“…As already mentioned in Section 1, this is because the relation between Y I and Y Q is a trivial shift only when net strangeness is zero, but not otherwise. See Reference [104] for a complete discussion of the chemically equilibrated case at finite temperature.…”
Section: Resultsmentioning
confidence: 99%
“…As already mentioned in Section 1, this is because the relation between Y I and Y Q is a trivial shift only when net strangeness is zero, but not otherwise. See Reference [104] for a complete discussion of the chemically equilibrated case at finite temperature.…”
Section: Resultsmentioning
confidence: 99%
“…However, it is important to keep in mind that the assumptions will not be appropriate for much of the parameter space (temperature and density) explored in the binary neutron star merger/post-merger phase, and they completely exclude any neutrino effects. At finite temperatures, the true notion of beta equilibrium is more complex, and may require the addition of an isospin chemical potential in the definition of β (see [29,[34][35][36]). A complete model should account for the correct notion of equilibrium, but this will require the equation of state table to be extended to include all necessary information.…”
Section: Hydrodynamics Of a Reactive Systemmentioning
confidence: 99%
“…The information encoded in the reaction rate Γ e is now "stored" in γ. We can then make progress and compute γ from the equation of state tables provided in the compOSE database [33] only as long as we ignore finite temperature effects [34][35][36]. While the coefficient B can be introduced without reference to an expansion around equilibrium, this is not the case for A.…”
Section: Hydrodynamics Of a Reactive Systemmentioning
confidence: 99%
“…On the other hand, the proton fraction inside the betaequilibrated matter also determines whether a protoneutron star will go through a cooling epoch via neutrino emmission through the direct Urca (DU) process n → p + e + νe , which is expected to occur if the proton fraction reaches a critical value, γ p > x DU , the so-called DU-threshold [39,40]. As the DU process allows for an enhanced cooling rate of NS, whether it takes place or not in the hot core of proto-neutron stars or during the merge of binary NS systems [41] would determine the proton fraction (hence, the symmetry energy) of matter at ultra-high densities. However, it is not clear whether such enhanced cooling actually takes place, although there is recent evidence that supports it [42].…”
Section: Particle Fractions Of Npeµ Matter In β-Equilibriummentioning
confidence: 99%