We comment on the paper of S. Postnikov et al. [Phys. Rev. D 82, 024016 (2010)] and give a modified formula that needs to be taken into account when calculating the tidal Love number of neutron stars in case a first order phase-transition occurs at nonzero pressure. We show that the error made when using the original formula tends to zero as $p\to 0$, and we estimate the maximum relative error to be $\sim 5\%$ if the density discontinuity is at larger densities.

• Received 29 April 2020
• Accepted 29 June 2020

DOI:https://doi.org/10.1103/PhysRevD.102.028501