Probabilistic interpretation of compositeness relation for resonances

doi:http://dx.doi.org/10.1103/PhysRevD.93.096001

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	Probabilistic interpretation of compositeness relation for resonances
	Oller, JA; Guo, ZH (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Guo, ZH; Guo, ZH (reprint author), Hebei Normal Univ, Dept Phys, Shijiazhuang 050024, Peoples R China.
刊名	PHYSICAL REVIEW D
	2016
卷号	93 期号:9 页码:96001
DOI	http://dx.doi.org/10.1103/PhysRevD.93.096001
英文摘要	Bound, antibound and resonance states are associated to poles in the on-shell partial wave amplitudes. We show here that from the residues of the pole a rank 1 projection operator associated with any of these states can be extracted, in terms of which a sum rule related to the composition of the state can be derived. Although typically it involves complex coefficients for the compositeness and elementariness, except for the bound state case, we demonstrate that one can formulate a meaningful compositeness relation with only positive coefficients for resonances whose associated Laurent series in the variable s converges in a region of the physical axis around ResP, with sP the pole position of the resonance. It is also shown that this result can be considered as an analytical extrapolation in sP of the clear narrow resonance case. We exemplify this formalism to study the two-body components of several resonances of interest.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/21663]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Guo, ZH (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Guo, ZH (reprint author), Hebei Normal Univ, Dept Phys, Shijiazhuang 050024, Peoples R China.
推荐引用方式 GB/T 7714	Oller, JA,Guo, ZH ,Guo, ZH,et al. Probabilistic interpretation of compositeness relation for resonances[J]. PHYSICAL REVIEW D,2016,93(9):96001.
APA	Oller, JA,Guo, ZH ,Guo, ZH,&Guo, ZH .(2016).Probabilistic interpretation of compositeness relation for resonances.PHYSICAL REVIEW D,93(9),96001.
MLA	Oller, JA,et al."Probabilistic interpretation of compositeness relation for resonances".PHYSICAL REVIEW D 93.9(2016):96001.