This paper reports on Monte Carlo simulation results for future measurements of the moduli of time-like proton electromagnetic form factors, \(|G_{E}|\) and \(|G_{M}|\), using the \(\bar{p} p \rightarrow \mu ^{+} \mu ^{-}\) reaction at \(\overline{\text {P}}\text {ANDA}\) (FAIR). The electromagnetic form factors are fundamental quantities parameterizing the electric and magnetic structure of hadrons. This work estimates the statistical and total accuracy with which the form factors can be measured at \(\overline{\text {P}}\text {ANDA}\), using an analysis of simulated data within the PandaRoot software framework. The most crucial background channel is \(\bar{p} p \rightarrow \pi ^{+} \pi ^{-}\), due to the very similar behavior of muons and pions in the detector. The suppression factors are evaluated for this and all other relevant background channels at different values of antiproton beam momentum. The signal/background separation is based on a multivariate analysis, using the Boosted Decision Trees method. An expected background subtraction is included in this study, based on realistic angular distributions of the background contribution. Systematic uncertainties are considered and the relative total uncertainties of the form factor measurements are presented.

的时间样质子电磁形式因素的影响，模量的未来测量蒙特卡罗仿真结果本文报道（| G_ {E} | \）\和\（| G_ {M} | \） ，使用\（\ bar {p} p \ rightarrow \ mu ^ {+} \ mu ^ {-} \）在\（\ overline {\ text {P}} \ text {ANDA} \）处的反应（公平）。电磁形状因数是参数化的强子基本结构参数。通过对PandaRoot软件框架内的模拟数据进行分析，本文估算了统计精度和总体精度，可以在\（\ overline {\ text {P}} \ text {ANDA} \）下测量形状因数。最关键的背景通道是\（\ bar {p} p \ rightarrow \ pi ^ {+} \ pi ^ {-} \），这是由于检测器中介子和介子的行为非常相似。在反质子束动量的不同值下，针对该通道和所有其他相关背景通道评估抑制因子。使用Boosted Decision Trees方法，信号/背景分离基于多变量分析。基于本底贡献的实际角度分布，本研究中包括了预期的本底扣除。考虑了系统的不确定性，并提出了形状因数测量的相对总不确定性。