Bayesian analysis of multimessenger M-R data with interpolated hybrid EoS

We introduce a family of equations of state (EoS) for hybrid neutron star (NS) matter that is obtained by a two-zone parabolic interpolation between a soft hadronic EoS at low densities and a set of stiff quark matter EoS at high densities within a finite region of chemical potentials μH< μ< μQ. Fixing the hadronic EoS as the APR one and choosing the color-superconducting, nonlocal NJL model with two free parameters for the quark phase, we perform Bayesian analyses with this two-parameter family of hybrid EoS. Using three different sets of observational constraints that include the mass of PSR J0740+6620, the tidal deformability for GW170817, and the mass-radius relation for PSR J0030+0451 from NICER as obligatory (set 1), while set 2 uses the possible upper limit on the maximum mass from GW170817 as an additional constraint and set 3 instead of the possibility that the lighter object in the asymmetric binary merger GW190814 is a neutron star. We confirm that in any case, the quark matter phase has to be color superconducting with the dimensionless diquark coupling approximately fulfilling the Fierz relation ηD= 0.75 and the most probable solutions exhibiting a proportionality between ηD and ηV, the coupling of the repulsive vector interaction that is required for a sufficiently large maximum mass. We used the Bayesian analysis to investigate with the method of fictitious measurements the consequences of anticipating different radii for the massive 2M⊙ PSR J0740+6220 for the most likely equation of state. With the actual outcome of the NICER radius measurement on PSR J0740+6220 we could conclude that for the most likely hybrid star EoS would not support a maximum mass as large as 2.5M⊙ so that the event GW190814 was a binary black hole merger. © 2021, The Author(s).

Ayriyan A.1, 2, 3 , Blaschke D. 4, 5, 6 , Grunfeld A.G.7, 8 , Alvarez-Castillo D.5, 9 , Grigorian H.1, 2, 10 , Abgaryan V. 1, 11, 12
Springer Science and Business Media Deutschland GmbH
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  • 1 Laboratory of Information Technologies, JINR, 6 Joliot-Curie Str., Dubna, 141980, Russian Federation
  • 2 IT and Computing Division, A. Alikhanyan National Laboratory, 2 Alikhanian Brothers Str., Yerevan, 0036, Armenia
  • 3 Dubna State University, 19 Universitetskaya Str., Dubna, 141980, Russian Federation
  • 4 Institute of Theoretical Physics, University of Wroclaw, 9 M. Borna Sq, Wrocław, 50-204, Poland
  • 5 Bogoliubov Laboratory of Theoretical Physics, JINR, 6 Joliot-Curie Str., Dubna, 141980, Russian Federation
  • 6 National Research Nuclear University (MEPhI), 31 Kashirskoe Hwy, Moscow, 115409, Russian Federation
  • 7 CONICET, Godoy Cruz 2290, Buenos Aires, Argentina
  • 8 Departamento de Física, Comisión Nacional de Energía Atómica, Av. Libertador 8250, (1429), Buenos Aires, Argentina
  • 9 Henryk Niewodniczański Institute of Nuclear Physics, 152 Radzikowskiego Str, Kraków, 31-342, Poland
  • 10 Department of Physics, Yerevan State University, 1 Alex Manoogian Str, Yerevan, 0025, Armenia
  • 11 Theoretical Physics Division, A. Alikhanyan National Laboratory, 2 Alikhanian Brothers Str., Yerevan, 0036, Armenia
  • 12 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., Moscow, 117198, Russian Federation
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