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Bayesian Analysis for Extracting Properties of the Nuclear Equation of State from Observational Data Including Tidal Deformability from GW170817

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Laboratory for Information Technologies, Joint Institute for Nuclear Research, Joliot-Curie Street 6, Dubna 141980, Russia
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Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, Joliot-Curie Street 6, Dubna 141980, Russia
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Institute of Theoretical Physics, University of Wroclaw, Max Born Place 9, 50-204 Wroclaw, Poland
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National Research Nuclear University (MEPhI), Kashirskoe Shosse 31, Moscow 115409, Russia
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Department of Physics, Yerevan State University, Alek Manukyan Str. 1, Yerevan 0025, Armenia
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Author to whom correspondence should be addressed.
This paper is based on the talk at the 7th International Conference on New Frontiers in Physics (ICNFP 2018), Crete, Greece, 4–12 July 2018.
Universe 2019, 5(2), 61; https://doi.org/10.3390/universe5020061
Received: 27 December 2018 / Revised: 3 February 2019 / Accepted: 5 February 2019 / Published: 14 February 2019
We develop a Bayesian analysis method for selecting the most probable equation of state under a set of constraints from compact star physics, which now include the tidal deformability from GW170817. We apply this method for the first time to a two-parameter family of hybrid equations of state that is based on realistic models for the hadronic phase (KVORcut02) and the quark matter phase (SFM α ) which produce a third family of hybrid stars in the mass–radius diagram. One parameter ( α ) characterizes the screening of the string tension in the string-flip model of quark matter while the other ( Δ P ) belongs to the mixed phase construction that mimics the thermodynamics of pasta phases and includes the Maxwell construction as a limiting case for Δ P = 0 . We present the corresponding results for compact star properties like mass, radius and tidal deformabilities and use empirical data for them in the newly developed Bayesian analysis method to obtain the probabilities for the model parameters within their considered range. View Full-Text
Keywords: bayesian analysis; quark–hadron phase transition; pasta phases; hybrid compact stars; mass–radius relation; GW170817; tidal deformability bayesian analysis; quark–hadron phase transition; pasta phases; hybrid compact stars; mass–radius relation; GW170817; tidal deformability
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Ayriyan, A.; Alvarez-Castillo, D.; Blaschke, D.; Grigorian, H. Bayesian Analysis for Extracting Properties of the Nuclear Equation of State from Observational Data Including Tidal Deformability from GW170817. Universe 2019, 5, 61.

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