We use the StarTrack population synthesis code to discuss potential progenitor models of SN Ia : single degenerate scenario , semi-detached double white dwarf binary and double degenerate scenario .
Using the most recent calculations of accretion onto white dwarfs , we consider SN Ia explosions of various white dwarfs in binary systems .
We calculate the evolutionary delay times from the zero age main sequence to the explosion , and verify which scenarios can satisfy the constraints found by Strolger et al .
( 2004 ) , i.e .
a delay time of 2-4 Gyrs .
It is found that the semi-detached double white dwarf binary model is inconsistent with observations .
Only SN Ia progenitors in the double degenerate scenario are compatible with observations in all tested evolutionary models , with a characteristic delay time of \sim 3 Gyrs .
If double degenerate mergers are excluded as SN Ia progenitors , we find that the single degenerate scenario may explain the observed delay times for models with low common envelope efficiency .
It is also noted that the delay time distributions within the various tested SN Ia scenarios vary significantly and potentially can be used as an additional constraint on progenitor models .