Abstract
Stimulated by the recent discovery of the 1 yr recurrence period nova M31N 2008-12a, we examined the shortest recurrence periods of hydrogen shell flashes on mass-accreting white dwarfs (WDs). We discuss the mechanism that yields a finite minimum recurrence period for a given WD mass. Calculating the unstable flashes for various WD masses and mass accretion rates, we identified a shortest recurrence period of about two months for a non-rotating 1.38 M_sun WD with a mass accretion rate of 3.6 x 10^{-7} M_sun yr^{-1}. A 1 yr recurrence period is realized for very massive (> 1.3 M_sun) WDs with very high accretion rates (> 1.5 x 10^{-7} M_sun yr^{-1}). We revised our stability limit of hydrogen shell burning, which will be useful for binary evolution calculations toward Type Ia supernovae.
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