Constraints on Explosion Timescale of Core-Collapse Supernovae Based on Systematic Analysis of Light Curves

Explosion mechanism of core-collapse supernovae is not fully understood yet. In this work, we give constraints on the explosion timescale based on $^{56}$Ni synthesized by supernova explosions. First, we systematically analyze multi-band light curves of 82 stripped-envelope supernovae (SESNe) to obtain bolometric light curves, which is among the largest samples of the bolometric light curves of SESNe derived from the multi-band spectral energy distribution. We measure the decline timescale and the peak luminosity of the light curves and estimate the ejecta mass ($M_{\rm ej}$) and $^{56}$Ni mass ($M_{\rm Ni}$) to connect the observed properties with the explosion physics. We then carry out one-dimensional hydrodynamics and nucleosynthesis calculations, varying the progenitor mass and the explosion timescale. From the calculations, we show that the maximum $^{56}$Ni mass that $^{56}$Ni-powered SNe can reach is expressed as $M_{\rm Ni} \lesssim 0.2 \ M_{\rm ej}$. Comparing the results from the observations and the calculations, we show that the explosion timescale shorter than 0.3 sec explains the synthesized $^{56}$Ni mass of the majority of the SESNe.