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首页> 外文期刊>Hadronic Journal >NONUNITARY LIE-ISOTOPIC AND LIE-ADMISSIBLE SCATTERING THEORIES OF HADRONIC MECHANICS, III: BASIC LIE-ISOTOPIC FORMULATION WITHOUT DIVERGENCIES
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NONUNITARY LIE-ISOTOPIC AND LIE-ADMISSIBLE SCATTERING THEORIES OF HADRONIC MECHANICS, III: BASIC LIE-ISOTOPIC FORMULATION WITHOUT DIVERGENCIES

机译：强子力学的非单位同构和可容许散射理论，III：无分叉性的基本同构公式

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摘要

In the preceding Papers I and II, we have: introduced various arguments suggesting nonunitary coverings of the conventional unitary scattering; outlined the problematic aspects of nonunitary theories; presented the novel isomathematics allowing an invariant isouni-tary reformation; and specialized to scattering processes the isotopic branch of hadronic mechanics comprising the isotopies of Lies theory, special relativity and quantum mechanics. In this paper we present a solution of the Dirac legacy indicated in Paper II, namely, a nonunitary-isounitary scattering theory without divergencies ab initio indicated by one of the authors to Dirac prior to his death. Joint elaborations of measured quantities (cross section, scattering angles, etc.) via the conventional and isotopic scattering theories are presented in subsequent works to identify the expected implications in final experimental results of nonlinear, nonlocal and non-potential effects in high energy scattering processes. As indicated in paper I, the presentation is restricted to reversible scattering processes, because the treatment of irreversible processes requires the yet broader Lie-admissible covering of the Lie-isotopic formulation.
机译：在前面的论文I和II中，我们进行了介绍：提出了各种观点，这些观点暗示了常规unit散射的非unit覆盖。概述了非unit理论的问题方面；提出了新颖的等温线，可以进行不变的等元重整；并且专门致力于散射过程的强子力学的同位素分支，包括Lies理论，狭义相对论和量子力学的同位素。在本文中，我们提出了论文II中所描述的狄拉克遗产的解决方案，即一种非单位-等单位散射理论，而狄拉克去世之前，其中一位作者从头开始没有发散。在随后的工作中，将通过常规和同位素散射理论对测量量（截面，散射角等）进行联合细化，以识别高能散射过程中非线性，非局部和非势能效应最终实验结果的预期含义。 。如论文一所示，由于不可逆过程的处理需要对Lie同位素制剂进行更广泛的Lie允许覆盖，因此介绍仅限于可逆散射过程。

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