  The final outcomes of accreting ONe white dwarfs (ONe WDs) have been studied
for several decades, but there are still some issues not resolved. Recently,
some studies suggested that the deflagration of oxygen would occur for
accreting ONe WDs with Chandrasekhar masses. In this paper, we aim to
investigate whether ONe WDs can experience accretion-induced collapse (AIC) or
explosions when their masses approach the Chandrasekhar limit. Employing the
stellar evolution code modules for experiments in stellar astrophysics (MESA),
we simulate the long-term evolution of ONe WDs by accreting CO material. The
ONe WDs undergo weak multicycle carbon flashes during the mass-accretion
process, leading to the mass increase of the WDs. We found that different
initial WD masses and mass-accretion rates have influence on the evolution of
central density and temperature. However, the central temperature cannot reach
the explosive oxygen ignition temperature due to the neutrino cooling. This
work implies that the final outcome of accreting ONe WDs is electron-capture
induced collapse rather than thermonuclear explosion.
