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We carry out a systematic study of the response of companion stars in massivebinaries after being impacted by supernova ejecta. A total of 720 1D stellarevolution calculations are performed to follow the inflation and contraction ofthe star in response to the energy injection and how it depends on variousparameters. We find that the maximum luminosity achieved during the inflatedphase is only dependent on the stellar mass and we derive an analytic formulato describe the relation. There is also a tight correlation between theduration of expansion and the intersected energy. These correlations will beuseful to constrain pre-supernova binary parameters from future detections ofinflated companions. We also discuss the possible outcomes of the binary systemwhen the companion inflation is taken into account. Based on simple binarypopulation synthesis, we estimate that $\sim$1-3% of stripped-envelopesupernovae may have observable inflated companions. Finally, we apply ourmodels to the observed companion of SN2006jc and place strong constraints onthe possible pre-supernova binary parameters.

Observability of inflated companion stars after supernovae in massive binaries