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arXiv 2106.00486nucl-th
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选择偏振观测值的新图解判据及其在单介子光生和电生中的应用

New graphical criterion for the selection of complete sets of polarization observables and its application to single-meson photoproduction as well as electroproduction

Y. Wunderlich

摘要:

本文结合了Moravcsik定理背后的图论思想与完全解析推导的离散相位模糊度,最近出版的中山。其结果是一个新的图形程序推导出某些类型的完整的观测值的振幅提取问题与$N$螺旋振幅。该程序适用于赝标介子光生($N = 4$振幅)和电生($N = 6$振幅),产生完整的集合与最小长度的$2N$观测。对于电生产的情况,这是第一次发布一个广泛的最小完备集列表。此外,概括所提出的程序的过程与大量的振幅,即$N > 6$振幅,是勾画。概括的程序概述了下一个更复杂的例子两介子光生($N = 8$振幅)。

英文摘要:

This paper combines the graph-theoretical ideas behind Moravcsik's theorem with a completely analytic derivation of discrete phase-ambiguities, recently published by Nakayama. The result is a new graphical procedure for the derivation of certain types of complete sets of observables for an amplitude-extraction problem with $N$ helicity-amplitudes. The procedure is applied to pseudoscalar meson photoproduction ($N = 4$ amplitudes) and electroproduction ($N = 6$ amplitudes), yielding complete sets with minimal length of $2N$ observables. For the case of electroproduction, this is the first time an extensive list of minimal complete sets is published. Furthermore, the generalization of the proposed procedure to processes with a larger number of amplitudes, i.e. $N > 6$ amplitudes, is sketched. The generalized procedure is outlined for the next more complicated example of two-meson photoproduction ($N = 8$ amplitudes).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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