再论偏振观测量完备集的Moravcsik定理
Moravcsik's theorem on complete sets of polarization observables reexamined
摘要:
我们重新Moravcsik的定理的唯一提取的振幅从偏振观测,这已最初发表于1985年。证明是(重新)书面更正式和详细的方式和定理是纠正了特殊情况下的奇数振幅(这种情况下是错误的处理在原来的出版物)。Moravcsik的定理,在修改后的形式,原则上可以适用于提取任意数量的$N$螺旋振幅。唯一性定理,然后应用到强子反应涉及粒子的自旋。最基本的例子是π介子-核子散射($N=2$),第一个非平凡的例子是赝标介子光生($N=4$),这里处理的最技术上涉及的情况是赝标介子电生($N=6$)。Moravcsik定理的应用,以电生产产生新的结果,这是第一次提供的见解完整的集,为这个特定的过程的结构和内容。的唯一性声明的各种反应进行了比较,并试图认识到一般的模式,出现下的应用定理。
英文摘要:
We revisit Moravcsik's theorem on the unique extraction of amplitudes from polarization observables, which has been originally published in 1985. The proof is (re-) written in a more formal and detailed way and the theorem is corrected for the special case of an odd number of amplitudes (this case was treated incorrectly in the original publication). Moravcsik's theorem, in the modified form, can be applied in principle to the extraction of an arbitrary number of $N$ helicity amplitudes. The uniqueness theorem is then applied to hadronic reactions involving particles with spin. The most basic example is Pion-Nucleon scattering ($N=2$), the first non-trivial example is pseudoscalar meson photoproduction ($N=4$) and the most technically involved case treated here is given by pseudoscalar meson electroproduction ($N=6$). The application of Moravcsik's theorem to electroproduction yields new results, which for the first time provide insights into the structure and content of complete sets for this particular process. The uniqueness-statements for the various reactions are compared and an attempt is made to recognize general patterns, which emerge under the application of the theorem.
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