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Context. The companions of the exploding carbon-oxygen white dwarfs (CO WDs)for producing type Ia supernovae (SNe Ia) are still not conclusively confirmed.A red-giant (RG) star has been suggested to be the mass donor of the explodingWD, named as the symbiotic channel. However, previous studies on the thischannel gave a relatively low rate of SNe Ia. Aims. We aim to systematicallyinvestigate the parameter space, Galactic rates and delay time distributions ofSNe Ia from the symbiotic channel by employing a revised mass-transferprescription. Methods. We adopted an integrated mass-transfer prescription tocalculate the mass-transfer process from a RG star onto the WD. In thisprescription, the mass-transfer rate varies with the local material states.Results. We evolved a large number of WD+RG systems, and found that theparameter space of WD+RG systems for producing SNe Ia is significantlyenlarged. This channel could produce SNe Ia with intermediate and old ages,contributing to at most 5% of all SNe Ia in the Galaxy. Our model increases theSN Ia rate from this channel by a factor of 5. We suggest that the symbioticsystems RS Oph and T CrB are strong candidates for the progenitors of SNe Ia.

The progenitors of type Ia supernovae in the semidetached binaries with red giant donors