R-Matrix Analysis
R-Matrix Analysis
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DOI：
10.1007/978-3-0348-5506-8_15
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发表时间：
1976
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影响因子：
--
通讯作者：
D. C. Dodder
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文献类型：
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作者：
D. C. Dodder
在涉及极化技术的实验中，没有任何地方比那些涉及很少核子的散射和反应过程更能揭示出所观察到的现象的丰富结构。本文关注的是一个程序，在洛斯阿拉莫斯与同事进行，其第一个目标是对这些过程的现象学理解。我们这些从事这个项目的人相信，我们的方法基本上是由这样一个事实决定的，即已经收集的大量信息似乎仍然只足以描述这些系统的复杂行为。这种有点自相矛盾的情况，几乎无法管理的数据量仍然可能只是在涵盖这样一个系统的行为的所有方面的门槛上，似乎需要一种具有两个主要特征的方法。首先，所有渠道和所有补充实验应同时描述。第二，应该使用依赖于能量的参数化，如果仅仅是因为数据在单一能量下不够完整。所有通道的同时描述允许我们利用碰撞矩阵S的非常重要的酉性原理。能量相关参数化的需要使我们选择R-矩阵形式主义。在这种情况下，形式主义应被视为一种实用工具。本文不讨论R矩阵在核反应一般理论中的作用。然而，目前工作的结果可能会在这种讨论中占有一席之地。
Experiments involving polarization techniques have nowhere unearthed a richer structure of observed phenomena than in those scattering and reaction processes involving very few nucleons. This paper is concerned with a program, carried out with colleagues at Los Alamos, with its first goal as a phenomenological understanding of these processes. It is the belief of those of us working on this program that our approach is essentially dictated by the fact that the overwhelming amount of information already collected seems to be still only marginally sufficient to describe the complex behavior of these systems. This somewhat paradoxical situation, that an almost unmanageable quantity of data is still perhaps just on the threshold of encompassing all aspects of the behavior of such a system, seems to call for an approach with two main features. First, all channels and all complementary experiments should be described simultaneously. Second, an energy dependent parameterization should be used, if only because the data are not sufficiently complete at single energies. The simultaneous description of all channels allows us to make use of the very important principle of unitarity of the collision matrix S. The need for an energy dependent parameterization has led us to choose the R-matrix formalism. In this context that formalism is to be regarded as a practical tool. This paper does not discuss the role of the R-matrix in general theories of nuclear reactions. It may be, however, that the results of the present work will have a place in such discussions.