Supermassive neutron stars rule out twin stars

We investigate the implications of a hypothetical $2.5\,\mathrm{M_\odot}$ neutron star in regard to possibility strong phase transition quark matter. use equations state (EoS) varying stiffness provided by parameterizable relativistic mean filed model transitioning first order matter with constant speed sound. find connection between discontinuity energy density and maximal mass generated EoS. demonstrate, that high masses cannot be realized for large discontinuities density, which are necessary visible twin stars, especially soft EoSs. As result stars $M_{max}\gtrsim2.2\,M_\odot$ mutually exclusive.