Finite size effects in hadron-quark phase transition by the Dyson-Schwinger method

TL;DR

This paper investigates the hadron-quark phase transition in neutron star matter, incorporating finite-size effects using realistic equations of state and the Dyson-Schwinger method, revealing implications for neutron star properties.

Contribution

It introduces a detailed analysis of finite-size effects in the hadron-quark transition using the Dyson-Schwinger approach, aligning with observational data.

Findings

Finite-size effects influence the phase transition properties.

Strong surface tension leads to Maxwell-like equations of state.

Results are consistent with observed massive neutron stars.

Abstract

We study the hadron-quark phase transition, taking into account the finite-size effects for neutron star matter. For the hadron phase, we adopt a realistic equation of state within the framework of the Brueckner-Hartree-Fock theory. For the quark phase, we apply the Dyson-Schwinger method. The properties of the mixed phase are clarified by considering the finite-size effects. We find that, if the surface tension is strong enough, the equation of state becomes to be close the one with the Maxwell condition, though we properly adopt the Gibbs conditions. This result is qualitatively the same with the one by the use of the simple bag model. We also find that the mass-radius relation by the EoS is consistent with the observations of massive neutron stars.