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Applying Inversion Techniques to Understanding Nucleus-nucleus Potentials

机译:应用反转技术以了解核心势

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摘要

The iterative-perturbative (IP) inversion algorithm makes it possible to deter-mine, essentially uniquely, the complex potential, including spin-orbit component, for spin half particles given the elastic scattering S-matrix Sy. We here report an extension of the method to the determination of energy dependent potentials V(r,E) defined over an energy range for which Sy(E) are provided. This is a natural development of the IP algorithm which has previously been applied to fixed energy, fixed partial wave and the interme-diate"mixedcase" inversion.Theenergyrangecanincludenegativeenergies, i.e. V(r, E) can reproduce bound state energies. It can also fit the effective range parameter for low energy scattering. We briefly define the classes of cases which can be studied, outline the IP method itself and briefly review the range of applications. We show the power of the method by presenting nucleon-a V(r,E) for Sj,(E) derived from experiments above and below the inelastic threshold and relating them to V(r,E) inverted from Sij(E) for RGM theory. Reference is given to the code IMAGO which embodies the IP algorithm.
机译:迭代 - 扰动(IP)反转算法使得可以防止挖掘,基本上唯一地,包括旋转轨道部件,包括旋转半颗粒的复杂势,包括赋予弹性散射S-矩阵Sy。我们在这里报告了该方法的扩展,以确定提供了在提供SY(E)的能量范围内定义的能量相关电位V(R,E)。这是预先应用于固定能量,固定部分波和中间体“混合粉末”反演的IP算法的自然发展.TheEnergyRangecanincludeNegationEnergies,即V(R,E)可以重现界定状态能量。它还可以适用于低能量散射的有效范围参数。我们简要介绍了可以研究的案例类,概述IP方法本身并简要介绍应用范围。我们通过呈现来自在非弹性阈值的实验和低于非弹性阈值的实验并将其与从Sij(e)反转的V(r,e)相关的SJ,(e)来显示该方法的功率RGM理论。给出了体现IP算法的代码Imago的引用。

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