Bayesian Analysis for Extracting Properties of the Nuclear Equation of State from Observational Data including Tidal Deformability from GW170817
A. Ayriyan D. Alvarez-Castillo D. Blaschke H. Grigorian






































1 
 
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10.3390/——
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2018
2018

Received: date; Accepted: date; Published: date




















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



 
 
 
 


Alexander Ayriyan^1, David Alvarez-Castillo^2, David Blaschke^2,3,4*, Hovik Grigorian^1,5


Alexander Ayriyan, David Alvarez-Castillo, David Blaschke, Hovik Grigorian



^1   Laboratory for Information Technologies,
	Joint Institute for Nuclear Research,
	Joliot-Curie street 6,
	141980 Dubna, Russia

^2   Bogoliubov Laboratory for Theoretical Physics,
	Joint Institute for Nuclear Research,
	Joliot-Curie street 6,
	141980 Dubna, Russia

^3   Institute of Theoretical Physics, 
	University of Wroclaw, 
	Max Born place 9, 
	50-204 Wroclaw, Poland

^4   National Research Nuclear University (MEPhI),
	Kashirskoe Shosse 31,
	115409 Moscow, Russia

^5   Department of Physics, 
	Yerevan State University, 
 	Alek Manukyan Str. 1, 
 	0025 Yerevan, Armenia



Correspondence: ^* david.blaschke@gmail.com











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 (SFMα) 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. 



Bayesian analysis, quark-hadron phase transition, pasta phases, hybrid compact stars, mass-radius relation, GW170817, tidal deformability































