Considerations on the Schmid theorem for triangle singularities

doi:10.1140/epjc/s10052-019-6558-1

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	Considerations on the Schmid theorem for triangle singularities
	Debastiani, V. R.; Sakai, S.; Oset, E.
刊名	EUROPEAN PHYSICAL JOURNAL C
	2019
卷号	79 期号:1 页码:69
关键词	FINAL-STATE INTERACTIONS LOGARITHMIC SINGULARITIES PARTICLES MECHANISM
ISSN号	1434-6044
DOI	10.1140/epjc/s10052-019-6558-1
英文摘要	We investigate the Schmid theorem, which states that if one has a tree level mechanism with a particle decaying to two particles and one of them decaying posteriorly to two other particles, the possible triangle singularity developed by the mechanism of elastic rescattering of two of the three decay particles does not change the cross section provided by the tree level. We investigate the process in terms of the width of the unstable particle produced in the first decay and determine the limits of validity and violation of the theorem. One of the conclusions is that the theorem holds in the strict limit of zero width of that resonance, in which case the strength of the triangle diagram becomes negligible compared to the tree level. Another conclusion, on the practical side, is that for realistic values of the width, the triangle singularity can provide a strength comparable or even bigger than the tree level, which indicates that invoking the Schmid theorem to neglect the triangle diagram stemming from elastic rescattering of the tree level should not be done. Even then, we observe that the realistic case keeps some memory of the Schmid theorem, which is visible in a peculiar interference pattern with the tree level.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27183]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Oset, E.] Ctr Mixto Univ Valencia, CSIC, Inst Invest Paterna, Dept Fis Teor, Aptdo 22085, Valencia 46071, Spain 2.[Sakai, S.] Chinese Acad Sci, Inst Theoret Phys, Zhong Guan Cun East St 55, Beijing 100190, Peoples R China 3.[Debastiani, V. R. 4.Sakai, S. 5.Oset, E.] Ctr Mixto Univ Valencia, CSIC, Inst Invest Paterna, IFIC, Aptdo 22085, Valencia 46071, Spain
推荐引用方式 GB/T 7714	Debastiani, V. R.,Sakai, S.,Oset, E.. Considerations on the Schmid theorem for triangle singularities[J]. EUROPEAN PHYSICAL JOURNAL C,2019,79(1):69.
APA	Debastiani, V. R.,Sakai, S.,&Oset, E..(2019).Considerations on the Schmid theorem for triangle singularities.EUROPEAN PHYSICAL JOURNAL C,79(1),69.
MLA	Debastiani, V. R.,et al."Considerations on the Schmid theorem for triangle singularities".EUROPEAN PHYSICAL JOURNAL C 79.1(2019):69.