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Accretion-induced collapse (AIC) of massive white-dwarfs (WDs) has beenproposed as an important way for the formation of neutron star (NS) systems. Anoxygen-neon (ONe) WD that accretes H-rich material from a red-giant (RG) starmay experience the AIC process, eventually producing millisecond pulsars(MSPs), known as the RG donor channel. Previous studies indicate that thischannel can only account for MSPs with orbital periods $>500\,\rm d$. It isworth noting that some more MSPs with wide orbits ($60-500\,\rm d$) have beendetected by recent observations, but their origin is still highly uncertain. Inthe present work, by employing an adiabatic power-law assumptions for themass-transfer process, we performed a large number of complete binary evolutioncalculations for the formation of MSPs through the RG donor channel in asystematic way. We found that this channel can contribute to the observed MSPswith orbital periods in the range of $50-1200\,{\rm d}$, and almost all theobserved MSPs with wide orbits can be covered by this channel in the WDcompanion mass versus orbital period diagram. The present work indicates thatthe AIC process provides a viable way to form MSPs with wide orbits.

Formation of millisecond pulsars with long orbital periods by accretion-induced collapse of white-dwarfs