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Debastiani, VR; Sakai, S; Oset, E
Considerations on the Schmid theorem for triangle singularities
Source PublicationEUROPEAN PHYSICAL JOURNAL C
Language英语
KeywordFINAL-STATE INTERACTIONS LOGARITHMIC SINGULARITIES PARTICLES MECHANISM
AbstractWe 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.
2019
ISSN1434-6044
Volume79Issue:1Pages:69
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
DOI10.1140/epjc/s10052-019-6558-1
Indexed BySCIE
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/23502
CollectionSCI期刊论文
Affiliation1.[Debastiani, V. R.
2.Sakai, S.
3.Oset, E.] Ctr Mixto Univ Valencia, CSIC, Inst Invest Paterna, Dept Fis Teor, Aptdo 22085, Valencia 46071, Spain
4.Oset, E.] Ctr Mixto Univ Valencia, CSIC, Inst Invest Paterna, IFIC, Aptdo 22085, Valencia 46071, Spain
5.[Sakai, S.] Chinese Acad Sci, Inst Theoret Phys, Zhong Guan Cun East St 55, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Debastiani, VR,Sakai, S,Oset, E. Considerations on the Schmid theorem for triangle singularities[J]. EUROPEAN PHYSICAL JOURNAL C,2019,79(1):69.
APA Debastiani, VR,Sakai, S,&Oset, E.(2019).Considerations on the Schmid theorem for triangle singularities.EUROPEAN PHYSICAL JOURNAL C,79(1),69.
MLA Debastiani, VR,et al."Considerations on the Schmid theorem for triangle singularities".EUROPEAN PHYSICAL JOURNAL C 79.1(2019):69.
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