2021
DOI: 10.48550/arxiv.2108.03324
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Beta equilibrium under neutron star merger conditions

Mark G. Alford,
Alexander Haber,
Steven P. Harris
et al.

Abstract: We calculate the isospin chemical potential that is required for beta equilibrium in nuclear matter under neutron star merger conditions, in the temperature range 1 MeV < T 5 MeV. We improve on previous work by 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 isospin chemical potential can be of order 10 to 20 MeV, and play… Show more

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Cited by 5 publications
(7 citation statements)
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References 52 publications
(76 reference statements)
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“…It can be seen in addition that, as noticed previously by Alford & Harris (2018); Alford et al (2021), β-equilibrium in neutrino transparent matter at non zero temperature does not occur at the point where chemical potentials fulfil the usual β-equilibrium condition for cold neutron stars (µn = µp + µe which stems from the Fermi surface approximation, indicated by the red dashed line in Fig. 1) but depends explicitly on the neutrino production rates instead.…”
Section: Direct Urca Processessupporting
confidence: 56%
See 1 more Smart Citation
“…It can be seen in addition that, as noticed previously by Alford & Harris (2018); Alford et al (2021), β-equilibrium in neutrino transparent matter at non zero temperature does not occur at the point where chemical potentials fulfil the usual β-equilibrium condition for cold neutron stars (µn = µp + µe which stems from the Fermi surface approximation, indicated by the red dashed line in Fig. 1) but depends explicitly on the neutrino production rates instead.…”
Section: Direct Urca Processessupporting
confidence: 56%
“…In the same way, during the late stages of PNS evolution they can become strongly suppressed for some neutrino energies. In this case, the so-called modified Urca (mUrca) processes become relevant, see also the discussion of β-equilibrium in the hot merger remnant in Alford & Harris (2018) and Alford et al (2021). They involve a spectator nucleon N allowing to lift the kinematic restrictions of the direct processes :…”
Section: Modified Urca Processesmentioning
confidence: 99%
“…Combining the weak-equilibrium and charge neutrality conditions we are now in a position to compute the EoS of stellar matter both in the trapped and un-trapped neutrino regimes. 1 1 Note that it is implicitly assumed that the matter is under detailed balance with respect to Urca processes; if such condition is violated then additional "isospin chemical potential" arises [58,59]. Also, note that we do not constrain particles to their Fermi surfaces and any corrections associated with the finite temperature features of the Fermi distribution function are included in our β-equilibratium condition.…”
Section: Thermodynamic Conditions In Supernovas and Merger Remnantsmentioning
confidence: 99%
“…In any case, a transient hot object is formed and, therefore, the spectrum of gravitational waves emitted in this phase (which can be observed with advanced gravitational wave instruments) will carry imprints of the EoS of hot and dense matter. This EoS also determines the stability of the remnant object and thus the outcome of the transient evolution [20] as well as the efficacy of dissipative processes [21][22][23][24][25][26][27][28] that should be included [27] in the frequently employed ideal hydrodynamics simulations.…”
Section: Introductionmentioning
confidence: 99%