Optical Potentials and Propagators for Elastic and Inelastic Scattering from Many-Body Targets
Optical Potentials and Propagators for Elastic and Inelastic Scattering from Many-Body Targets
复制标题
多体目标弹性和非弹性散射的光势和传播器
DOI：
10.1006/aphy.2001.6157
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发表时间：
2001
影响因子：
3
通讯作者：
L. Cederbaum
中科院分区：
文献类型：
--
作者：
L. Cederbaum
摘要 通常教科书的单粒子格林函数具有一种自能，该自能被称为弹性散射的光学势。光势的引入将复杂的多体散射问题简化为易于处理的单体问题。在这项工作中，格林函数的定义得到了扩展。所定义的非弹性函数具有自能，可以用目标状态的封闭形式表示。事实证明，这些自能是非弹性散射的光学势。讨论了这些势能的性质和散射波函数的工作方程。特别强调阐明可与目标颗粒区分开的射弹的散射和无法区分的颗粒的散射中产生的实质性差异。
Abstract The usual textbook one-particle Green's function possesses a self-energy that is known to be an optical potential for elastic scattering. The introduction of an optical potential reduces the complex many-body scattering problem into a tractable one-body problem. In this work the definition of Green's functions is extended. The defined inelastic functions are shown to possess self-energies that can be expressed in closed form in terms of the target states. It is proven that these self-energies are optical potentials for inelastic scattering. The properties of these potentials and working equations for the scattering wave functions are discussed. Particular emphasis is put on elucidating the substantial differences arising in the scattering of a projectile distinguishable from the target's particles and in the scattering of indistinguishable particles.