Stochastic gravitational wave background due to core collapse resulting in neutron stars

The stochastic background of gravitational wave signals arising from the core-collapse supernovae is produced through various complex mechanisms that need detailed and careful investigation. We proposed a simplified multipeak waveform of the amplitude spectrum. The corresponding energy spectra of our model fit the energy spectra obtained from different numerical simulations of various types of core-collapse events such as nonrotating, slow rotating, and fast rotating massive progenitors resulting in neutron stars. The maximum dimensionless energy density ${\mathrm{\ensuremath{\Omega}}}_{gw}$ corresponding to our model is of $\mathcal{O}({10}^{\ensuremath{-}12})$ around 650 Hz. Assuming some degree of uncertainty, we estimated the parameters for the core-collapse waveform using bilby. We studied the detectability of the signal of our model against gravitational wave detectors such as the Einstein Telescope, advanced LIGO, and Virgo. Our study indicates that these detectors have to gain more sensitivity to pick up the gravitational wave signals of stochastic background.