标题： 实数和虚数$N\bar{N}$对在阈值附近的产生 显示英文标题

标题： Real and virtual $N\bar{N}$ pair production near the threshold

摘要： 核子-反核子光学势，用于解释$e^{+}e^{-}\rightarrow p\bar{p}$和$e^{+}e^{-}\rightarrow\mbox{pions}$过程的实验数据，这些过程靠近$p\bar{p}$对产生阈值。为了获得这个势能，我们使用了$p\bar{p}$散射、$p\bar{p}$对产生在$e^{+}e^{-}$粒子湮灭中的可用实验数据，以及质子在类时区域的电磁形式因子的比值。结果表明，通过光学势的末态相互作用可以准确地再现现有的实验数据。 我们对$e^{+}e^{-}\to6\pi$过程在$p\bar{p}$对产生阈值附近的截面结果与最近的实验结果一致。 显示英文摘要

摘要： Nucleon-antinucleon optical potential, which explains the experimental data for the processes $e^{+}e^{-}\rightarrow p\bar{p}$ and $e^{+}e^{-}\rightarrow\mbox{pions}$ near the threshold of $p\bar{p}$ pair production, is suggested. To obtain this potential we have used the available experimental data for $p\bar{p}$ scattering, $p\bar{p}$ pair production in $e^{+}e^{-}$ annihilation, and the ratio of electromagnetic form factors of a proton in the timelike region. It turns out that final-state interaction via the optical potential allows one to reproduce the available experimental data with good accuracy. Our results for the cross sections of $e^{+}e^{-}\to6\pi$ process near the threshold of $p\bar{p}$ pair production are in agreement with the recent experiments.