The expected evolution of the binary system PTF J2238+743015.1

Binary systems made by a low-mass CO WD and a He-donor represent possible progenitors of explosive events via He-detonation, producing low-luminosity thermonuclear Supernovae with a peculiar nucleosynthetis. Recently, the binary system PTF J223857.11+743015.1 has been suggested as one. We investigate the evolution of the PTF J223857.11+743015.1 system, composed by a 0.75Msun CO WD and a 0.390Msun subdwarf, capped by a thin H-rich layer, considering rotation of the WD component. We compute the evolution of two stars simultaneously, accounting for the possible evolution of the orbital parameters, as determined by mass transfer between components and by mass ejection from the system during RLOF episodes. We consider that the WD gains angular momentum due to accretion and we follow the evolution of the angular velocity profile as due to angular momentum transport via convection and rotation-induced instabilities. As the donor H-rich envelope is transferred, the WD experiences recurrent very strong H-flashes triggering RLOF episodes during which the entire accreted matter is lost from the system. Due to mixing of chemicals by rotation-induced instabilities during the accretion phase, H-flashes occur inside the original WD. Hence, pulse-by pulse, the accretor mass is reduced down to 0.7453Msun. When He-rich matter is transferred, He-detonation does not occur in the rotating WD, which undergoes 6 very strong He-flashes and subsequent RLOF episodes. Also in this case, due to rotation-induced mixing of the accreted layers with the underlying core, the WD is eroded. Finally, when the mass transfer rate from the donor decreases, a massive He-buffer is piled-up onto the accretor which ends its life as a cooling WD. The binary system PTF J2238+743015.1 as all those binaries having similar components masses and orbital parameters are not good candidates as thermonuclear explosions progenitors.