scholarly journals Phase structure of cold magnetized quark matter within the SU(3) NJL model

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
Ana G. Grunfeld ◽  
Débora P. Menezes ◽  
Marcus B. Pinto ◽  
Norberto N. Scoccola
2018 ◽  
Vol 931 ◽  
pp. 105-131 ◽  
Author(s):  
Ken-Ichi Aoki ◽  
Shin-Ichiro Kumamoto ◽  
Masatoshi Yamada

2020 ◽  
Vol 29 (10) ◽  
pp. 2050093
Author(s):  
Masatoshi Morimoto ◽  
Yasuhiko Tsue ◽  
João da Providência ◽  
Constança Providência ◽  
Masatoshi Yamamura

To obtain the equation of state of quark matter and construct hybrid stars, we calculate the thermodynamic potential in the three-flavor Nambu–Jona-Lasinio model including the tensor-type four-point interaction and the Kobayashi–Maskawa–’t Hooft interaction. To construct the hybrid stars, it is necessary to impose the [Formula: see text] equilibrium and charge neutrality conditions on the system. It is shown that tensor condensed phases appear at large chemical potential. Under the possibility of the existence of the tensor condensates, the relationship between the radius and mass of hybrid stars is estimated.


2021 ◽  
Vol 57 (11) ◽  
Author(s):  
A. Ayriyan ◽  
D. Blaschke ◽  
A. G. Grunfeld ◽  
D. Alvarez-Castillo ◽  
H. Grigorian ◽  
...  

AbstractWe 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 $$\mu _H< \mu < \mu _Q$$ μ H < μ < μ Q . 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 $$\eta _D=0.75$$ η D = 0.75 and the most probable solutions exhibiting a proportionality between $$\eta _D$$ η D and $$\eta _V$$ η V , 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 $$2~M_\odot $$ 2 M ⊙ 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 $$2.5~M_\odot $$ 2.5 M ⊙ so that the event GW190814 was a binary black hole merger.


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