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We propose a scheme to determine the chemical potential and baryon numberdensity of the hadron-quark phase transition in cold dense strong interactionmatter (compact star matter). The hadron matter is described with therelativistic mean field theory, and the quark matter is described with theDyson-Schwinger equation approach of QCD. To study the first-order phasetransition, we take the sound speed as the interpolation objective to constructthe equation of state in the middle density region. With the maximum mass, thetidal deformability and the radius of neutron stars being taken as calibrationquantities, the phase transition chemical potential is constrained to a quitesmall range. And the most probable value of the phase transition chemicalpotential is found.

Determining Hadron-Quark Phase Transition Chemical Potential via Astronomical Observations