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SNe II show great photometric and spectroscopic diversity which is attributedto the varied physical characteristics of their progenitor and explosionproperties. In this study, the third of a series of papers where we analyse asample of SNe II observed by the Carnegie Supernova Project-I, we presentcorrelations between their observed and physical properties. Our analysis showsthat explosion energy is the physical property that correlates with the highestnumber of parameters. We recover previously suggested relationships between thehydrogen-rich envelope mass and the plateau duration, and find that moreluminous SNe II with higher expansion velocities, faster declining lightcurves, and higher Ni masses are consistent with higher energy explosions. Inaddition, faster declining SNe II are also compatible with more concentrated Niin the inner regions of the ejecta. Positive trends are found between theinitial mass, explosion energy, and Ni mass. While the explosion energy spansthe full range explored with our models, the initial mass generally arises froma relatively narrow range. Observable properties were measured from our grid ofmodels to determine the effect of each physical parameter on the observed SN IIdiversity. We argue that explosion energy is the physical parameter causing thegreatest impact on SN II diversity, when assuming standard single-starevolution as in the models used in this study. The inclusion of pre-SN modelsassuming higher mass loss produces a significant increase in the strength ofsome correlations, particularly those between the progenitor hydrogen-richenvelope mass and the plateau and optically thick phase durations. Thesedifferences clearly show the impact of having different treatments of stellarevolution, implying that changes in the assumption of standard single-starevolution are necessary for a complete understanding of SN II diversity.

astronomy and astrophysics

Type II supernovae from the Carnegie Supernova Project-I. III.  Understanding SN II diversity through correlations between physical and  observed properties