An analysis of the elastic scattering and breakup cross sections in the reactions in the zero binding energy limit, is presented. The main motivation was to investigate whether finite reaction observables can be obtained for a neutron-rich system in this limit, where it can be regarded as an open quantum system. It is first found that as the binding energy tends to zero, the ground-state wave function of the (+n) system falls asymptotically as (where , is the ground-state orbital angular momentum). For both projectiles, finite elastic scattering and breakup cross sections are obtained in the zero binding energy limit, where they also become insensitive to the variation of the binding energy. For the projectile, this is due to the core-proton Coulomb barrier, whereas for the projectile, it is due to the asymptotic behavior of the ground-state wave function in this limit. In conclusion, finite reaction observables in the breakup of an open quantum system can be obtained for .

对零结合能极限下反应中的弹性散射和破裂截面进行了分析。主要动机是研究在这个极限下是否可以获得富中子系统的有限反应可观测值，在那里它可以被视为一个开放的量子系统。首次发现当结合能趋于零时，( +n)系统的基态波函数渐近下降为（其中，是基态轨道角动量）。对于这两种弹丸，在零结合能极限下获得有限弹性散射和破碎截面，在那里它们也对结合能的变化不敏感。为了弹丸，这是由于核心质子库仑势垒，而对于弹丸，这是由于基态波函数在此极限下的渐近行为。总之，对于开放量子系统的分解，可以得到有限的反应可观测量。