Upon investigating whether the antineutron-nucleus annihilation cross-sections at very low momenta p satisfy Bethe-Landau's power law of ${\sigma }_{\mathrm{ann}}(p)\propto 1/p^{\alpha }$, we uncover unexpected regular oscillatory structures in the low antineutron energy region from 0.001 to 10 MeV, with small amplitudes and narrow periodicity in the logarithm of the antineutron energies, for large-A nuclei such as Pb and Ag. Subsequent semiclassical analyses of the S matrices reveal that these oscillations are pocket resonances that arise from quasi-bound states inside the effective potential pocket with a barrier. They are a continuation of the bound states in the continuum. Experimental observations of these pocket resonances will provide vital information on the properties of the optical model potentials and the nature of the antinucleon-nucleus reactions.

在研究在非常低的时刻a p处的反中子核an灭截面是否满足Bethe-Landau的幂定律时${\sigma }_{\mathrm{安}}（p）\propto \mathrm{1个}/p^{\alpha }$，我们发现了在低反中子能区域（从0.001到10 MeV）中出乎意料的规则振荡结构，对于大的A核（如Pb和Ag），反中子能量的对数幅值小且周期窄。随后对S矩阵进行的半经典分析表明，这些振荡是由具有势垒的有效势能腔内部的准束缚态引起的腔共振。它们是连续体中束缚态的延续。这些口袋共振的实验观察将提供有关光学模型电位的性质和反核子-核反应的性质的重要信息。