Abstract: In order to reduce beam emittance, improve beam intensity and obtain high quality beam, a stochastic cooling system will be constructed for the high-precision Spectrometer Ring(SRing) in the High-Intensity heavy ion Accelerator Facility(HIAF). The pickup/kicker plays a significant role in the stochastic cooling system and determines its cooling efficiency to a certain extent. The paper discusses the significant function and design specification of the pickup/kicker of the stochastic cooling system, and introduces the concept of shunt impedance. The periodic element slot-ring structure is adopted for the SRing stochastic cooling system, and high frequency structure simulation software(HFSS) is used for modeling and simulation optimization. The effect of slot-ring parameters on shunt impedance of pickup/kicker is studied by sweeping different structural parameters. The simulation results show that the slot-ring structure has high shunt impedance and is suitable for SRing stochastic cooling system. At the same time, considering the flatness of the shunt impedance in the whole operating bandwidth of pickup/kicker, a combination of slot-ring structures of different sizes is proposed to optimize its amplitude flatness. Furthermore, a 16-way power splitter/combiner for the slot-ring structure is designed and fabricated. The measured results show that the combiner/splitter has the performance of a good output amplitude flatness, large isolation, low insertion loss, low voltage standing wave ratio and so on, which meets the requirements of the stochastic cooling system.