We consider the inverse problem of potential reconstruction from scattering data concerning a 1D model of optical potential introduced by Morillon and Romain [Dispersive and global spherical optical model with a local energy approximation for the scattering of neutrons by nuclei from 1 keV to 300 MeV. Phys Rev C. 2004;70:014601] in the context of nuclear reactions. We show that the inverse method of Agranovich and Marchenko [The inverse problem of scattering theory. New York: Gordon and Breach; 1963] (real case) and Lyantse [An analog of the inverse problem of scattering theory for a non-selfadjoint operator. Math USSR-Sbornik. 1967;1:485–504] (complex case) can be extended to this model, in order to retrieve the energy-dependent part of the potential.

我们考虑了根据 Morillon 和 Romain 引入的一维光势模型的散射数据进行势重建的逆问题 [具有局部能量近似的色散和全局球面光学模型，用于核对 1 keV 至 300 MeV 的中子散射。Phys Rev C. 2004;70:014601] 在核反应的背景下。我们证明了 Agranovich 和 Marchenko [散射理论的反问题。纽约：Gordon 和 Breach；1963]（真实案例）和 Lyantse [非自伴运算符散射理论的逆问题的模拟。数学苏联-Sbornik。1967;1:485–504]（复杂情况）可以扩展到该模型，以检索势能的能量相关部分。