Determining Hadron-Quark Phase Transition Chemical Potential via Astronomical Observations

Understand

We propose a scheme to determine the chemical potential and baryon number density of the hadron-quark phase transition in cold dense strong interaction matter (compact star matter).

• The hadron matter is described with the relativistic mean field theory, and the quark matter is described with the Dyson-Schwinger equation approach of QCD.
• To study the first-order phase transition, we take the sound speed as the interpolation objective to construct the equation of state in the middle density region.
• With the maximum mass, the tidal deformability and the radius of neutron stars being taken as calibration quantities, the phase transition chemical potential is constrained to a quite small range.