标题： 散射的三-聚集团系代数模型。 一。 理论背景 显示英文标题

标题： Algebraic Model for scattering in three-s-cluster systems. I. Theoretical Background

摘要： 提出了一种用于计算完全反对称三团簇构型两粒子矩阵元的框架。 该理论是针对代数模型描述的散射情形发展的。 这意味着核多粒子态及其渐近行为按团内坐标振子态展开。 使用生成函数技术来优化矩阵元的计算。 为了推导动力学方程，提出了代数模型的多通道版本。 显示英文摘要

摘要： A framework to calculate two-particle matrix elements for fully antisymmetrized three-cluster configurations is presented. The theory is developed for a scattering situation described in terms of the Algebraic Model. This means that the nuclear many-particle state and its asymptotic behaviour are expanded in terms of oscillator states of the intra-cluster coordinates. The Generating Function technique is used to optimize the calculation of matrix elements. In order to derive the dynamical equations, a multichannel version of the Algebraic Model is presented.