Gravitational Wave from Phase Transition inside Neutron Stars

In this work, we propose a new source for gravitational wave (GW) radiation associated with the quantum chromodynamics (QCD) phase transition in the inner cores of neutron stars. The mechanism is based on the bubble dynamics during the first-order phase transition from nuclear matter to quark matter. We identify the characteristic frequency to be of order $\omega_c\sim 10^6~{\rm rad/s}$forthiskindofsourcesandthestrainmagnitude($h\sim 10^{-24}$ for a neutron star at a distance of $0.1\mathrm{M}\mathrm{p}\mathrm{c}$) reachable by future GW detectors. The GW spectra are shown to be useful to check the transition nature at high baryon chemical potential as well as to constrain the radius and density of the inner cores, which are still indistinct up to now.