Recurrent Novae as a Progenitor System of Type Ia Supernovae. I. RS Ophiuchi Subclass: Systems with a Red Giant Companion

Abstract

Theoretical light curves of four recurrent novae in outburst are modeled to obtain various physical parameters. They are those with a red giant companion, T CrB, RS Oph, V745 Sco, and V3890 Sgr. Our model includes irradiations of the companion star and the accretion disk together with a shadowing effect on the companion by the accretion disk. The early visual light curves are well reproduced with a thermonuclear runaway model on a very massive white dwarf of 1.37 Mo for T CrB, 1.37 Mo for RS Oph with low metallicity (Z=0.004), 1.35 Mo for V745 Sco, and 1.35 Mo for V3890 Sgr. Each envelope mass at the optical maximum is also estimated to be 3 x 10^{-6}, 2 x 10^{-6}, 5 x 10^{-6}, and 3 x 10^{-6} Mo, indicating an average mass accretion rate of 0.4 x 10^{-7}, 1.2 x 10^{-7}, 0.9 x 10^{-7}, and 1.1 x 10^{-7} Mo/yr during the quiescent phase. Although a large part of the envelope mass is blown in the wind, each WD can retain a substantial part of the envelope mass after hydrogen burning ends. Thus, we have obtained net mass-increasing rates of the WDs as 0.1 x 10^{-7}, 0.12 x 10^{-7}, 0.05 x 10^{-7}, and 0.11 x 10^{-7} Mo/yr. These results strongly indicate that the WDs in the recurrent novae have now grown up to near the Chandrasekhar mass limit and will soon explode as a Type Ia supernova if the WDs consist of carbon and oxygen. We also include a radiation-induced warping instability of the accretion disk to reproduce the second peak of T CrB outbursts. Thus, we have clarified the reason why only T CrB shows a secondary maximum but the other three systems do not.