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Type Ic supernovae (SNe) can be classified as: normal SNe Ic, type Icsuper-luminous SNe (SLSNe Ic), X-ray flash (XRF) connected SNe, broad-line SNeIc (SN Ic-BL), and gamma-ray burst (GRB) connected SNe. Here we suggest aninner connection for all kinds of SNe Ic based on a pair of jets beingsuccessfully launched: a normal SN Ic is a normal core collapsar without jetslaunched; a GRB associated SN Ic is a core collapsar with relativistic jetslaunched and successfully breaking out the envelope of the progenitor; an XRFassociated SN Ic is a core collapsar with jets launched but can only develop arelativistic shock breakout; an SN Ic-BL is an off-axis GRB or XRF associatedsupernova; and an SLSN Ic is close to the XRF-SN Ic but the shock breakout isnot relativistic and most of the jet energy is deposited into the supernovacomponent. Based on the luminosity-distance diagram, we derived the luminosityfunction of all different types of SNe Ic as a whole. We also show that thenormal SNe Ic and GRB connected SNe Ic have similar accumulative distributions.

Toward an inner connection of SNe Ic, SLSNe Ic, XRF connected SNe, SNe Ic-BL, and GRB connected SNe