We describe a new method to solve coupled equations, that arises from the coupled-channel formalism applied to nuclear reactions involving the elastic and inelastic scattering processes. The new technique is faster and presents better numerical convergence than other usual methods. To illustrate the method, in the present paper we have analyzed data for the 4 He + 208 Pb system at E lab. = 120 and 139 MeV, including thousands of inelastic states with excitation energies up to 80 MeV. However, as a limitation, the method can be used only in the case of couplings connecting directly the inelastic channels to the elastic one, without couplings among the inelastic states.

中文翻译：

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数千种非弹性耦合对弹性散射通道的影响

我们描述了一种求解耦合方程的新方法，该方法是由耦合通道形式主义应用于涉及弹性和非弹性散射过程的核反应而产生的。与其他常用方法相比，新技术速度更快，并且数值收敛性更好。为了说明该方法，在本文中，我们在E实验室分析了4 He + 208 Pb系统的数据。= 120和139 MeV，包括数千个非弹性态，激发能高达80 MeV。然而，作为限制，该方法仅可在将非弹性通道直接连接至弹性通道的联接器的情况下使用，而无需在非弹性状态之间联接。