A Geant4 simulation has been carried out in order to determine the $\beta$-detection efficiency of a rare isotope beam implantation setup, for decay spectroscopy experiments, comprising a number of Double Sided Silicon Strip Detectors (DSSSDs) and two plastic scintillation detectors placed upstream and downstream. The absolute efficiency for the emitted $\beta$-particle detection from radioactive fragments implanted in the DSSSDs using fast-timing plastic-scintillator detector, is calculated. The detection efficiency of the setup has been studied with two different distances between the Si layers and plastics. The requirement for the thickness of the Si detector layers and its implication on the $\beta$-detection efficiency has been investigated for 1 mm and $300\mathrm{\mu }\mathrm{m}$ thickness of Si layers. The combined efficiency of DSSSD and plastic detectors were also simulated for two different thicknesses of the DSSSD.

为了确定 $\beta$-用于衰减光谱实验的稀有同位素束注入装置的探测效率，包括多个双面硅条探测器（DSSSD）和两个位于上游和下游的塑料闪烁探测器。发射的绝对效率$\beta$计算了使用快速定时塑料闪烁探测器从植入DSSSD的放射性碎片中进行的粒子探测。在硅层和塑料之间有两个不同距离的情况下，研究了该装置的检测效率。硅探测器层厚度的要求及其对硅探测器的影响$\beta$-已对1 mm的探测效率进行了研究 $300\mathrm{\mu }\mathrm{米}$硅层的厚度。还针对两种不同厚度的DSSSD模拟了DSSSD和塑料探测器的综合效率。