The Ultra-relativistic Quantum Molecular Dynamics (UrQMD) transport approach is used to calculate Δ(1232) yields in Ca+Ca, Ni+Ni and Au+Au collisions between 1 AGeV and 2 AGeV. We compare and validate two different methods to extract the yields of Δ(1232) resonances in such low energy nuclear collisions: Firstly, the ${\pi }^{-}$ spectra at low $p_{\mathrm{T}}$ are used to infer the Δ(1232) yield in A+A collisions, a method employed by the GSI/FOPI experiment. Secondly, we employ the invariant mass method used by the HADES collaboration, which has recently reported data in the ${\mathrm{\Delta }}^{++}\to {\pi }^{+}+p$ channel. We show that both methods are compatible with each other. Then we use the $\mathrm{\Delta }/nucleon$ ratio to extract the kinetic decoupling temperatures of the Δ(1232) resonances. We find that the extracted temperatures are consistent with the predicted mass shift of the Δ resonance and the freeze-out parameters estimated from complementary studies (blast wave fits, coarse graining).

使用超相对论量子分子动力学（UrQMD）传输方法来计算在1 AGeV和2 AGeV之间的Ca + Ca，Ni + Ni和Au + Au碰撞中的Δ（1232）产率。我们比较并验证了在这种低能核碰撞中提取Δ（1232）共振的屈服的两种不同方法：首先，${\pi }^{-}$ 低光谱 $p_{\mathrm{Ť}}$GSI / FOPI实验所使用的方法用于推断A + A碰撞中的Δ（1232）产量。其次，我们采用了HADES合作使用的不变质量方法，该方法最近报告了${\mathrm{\Delta }}^{++}\to {\pi }^{+}+p$渠道。我们证明这两种方法相互兼容。然后我们使用$\mathrm{\Delta }/ñüC升ËØñ$提取Δ（1232）共振的动力学解耦温度。我们发现，提取的温度与Δ共振的预测质量偏移和补充研究（鼓风波拟合，粗纹）估计的冻结参数一致。