Generalization of Weinberg's compositeness relations

doi:10.1103/PhysRevD.105.L071502

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	Generalization of Weinberg's compositeness relations
	Li, Yan ; Guo, Feng-Kun ; Pang, Jin-Yi ; Wu, Jia-Jun
刊名	PHYSICAL REVIEW D
	2022
卷号	105 期号:7 页码:L071502
关键词	2-NUCLEON SYSTEM DEUTERON SCATTERING
ISSN号	2470-0010
DOI	10.1103/PhysRevD.105.L071502
英文摘要	We generalize the time-honored Weinberg???s compositeness relations by including the range corrections through considering a general form factor. In Weinberg???s derivation, he considered the effective range expansion up to O(p2) and made two additional approximations: neglecting the nonpole term in the Low equation and approximating the form factor by a constant. We lift the second approximation and work out an analytic expression for the form factor. For a positive effective range, the form factor is of a single-pole form. An integral representation of the compositeness is obtained and is expected to have a smaller uncertainty than that derived from Weinberg???s relations. We also establish an exact relation between the wave function of a bound state and the phase of the scattering amplitude neglecting the nonpole term. The deuteron is analyzed as an example, and the formalism can be applied to other cases where range corrections are important.
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/311006/27760]
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.Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China 2.[Li, Yan 3.Guo, Feng-Kun 4.Univ Chinese Acad Sci UCAS, Sch Phys Sci, Beijing 100049, Peoples R China 5.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Yan,Guo, Feng-Kun,Pang, Jin-Yi,et al. Generalization of Weinberg's compositeness relations[J]. PHYSICAL REVIEW D,2022,105(7):L071502.
APA	Li, Yan,Guo, Feng-Kun,Pang, Jin-Yi,&Wu, Jia-Jun.(2022).Generalization of Weinberg's compositeness relations.PHYSICAL REVIEW D,105(7),L071502.
MLA	Li, Yan,et al."Generalization of Weinberg's compositeness relations".PHYSICAL REVIEW D 105.7(2022):L071502.