Accretion induced collapse (AIC) may be responsible for the formation of some interesting neutron star binaries (e.g., millisecond pulsars, intermediate-mass binary pulsars, etc). It has been suggested that oxygen-neon white dwarfs (ONe WDs) can increase their mass to the Chandrasekhar limit by multiple He-shell flashes, leading to AIC events. However, the properties of He-shell flashes on the surface of ONe WDs are still not well understood. In this article, we aim to study He-shell flashes on the surface of ONe WDs in a systematic approach. We investigated the long-term evolution of ONe WDs accreting He-rich materialwith various constantmass-accretion rates by time-dependent calculationswith the stellar evolution codeModules for Experiments in Stellar Astrophysics (MESA), in which the initial ONeWD masses range from 1.1 to 1.35 M _⊙. We found that the mass-retention efficiency increases with the ONe WD mass and the mass-accretion rate, whereas both the nova cycle duration and the ignition mass decrease with the ONe WD mass and the mass-accretion rate. We also present the nuclear products in different accretion scenarios. The results presented in this article can be used in the future binary population synthesis studies of AIC events.

吸积引起的坍缩（AIC）可能是形成一些有趣的中子星双星（例如，毫秒脉冲星、中等质量双星脉冲星等）的原因。有人提出，氧-氖白矮星（ONE WDs）可以通过多次 He 壳闪光将其质量增加到钱德拉塞卡极限，从而导致 AIC 事件。然而，人们对 ONe WDs 表面 He 壳闪光的特性仍不清楚。在本文中，我们旨在系统地研究 ONe WDs 表面的 He 壳闪光。我们使用恒星演化代码恒星天体物理学实验模块 (MESA) 进行了瞬态计算，研究了以各种恒定质量吸积率吸积富氦物质的 ONe WD 的长期演化，其中初始 ONeWD 质量范围从 1.1 到 1.35中号 _⊙。我们发现质量保持效率随着 ONe WD 质量和质量吸积率的增加而增加，而新星周期持续时间和点火质量都随着 ONe WD 质量和质量吸积率的增加而减少。我们还展示了不同吸积场景中的核产品。本文提出的结果可用于未来 AIC 事件的二元总体综合研究。