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题名: Partial wave decomposition in Friedrichs model with self-interacting continua
作者: Xiao, ZG ;  Zhou, ZY
刊名: JOURNAL OF MATHEMATICAL PHYSICS
出版日期: 2017
卷号: 58, 期号:7, 页码:72102
学科分类: Physics
DOI: http://dx.doi.org/10.1063/1.4993193
通讯作者: Xiao, ZG (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
文章类型: Article
英文摘要: We consider the nonrelativistic model of coupling bare discrete states with continuum states in which the continuum states can have interactions among themselves. By partial-wave decomposition and constraint to the conserved angular momentum eigenstates, the model can be reduced to Friedrichs-like model with additional interactions between the continua. If a kind of factorizable form factor is chosen, the model can be exactly solvable, that is, the generalized discrete eigenstates including bound states, virtual states, and resonances can all be represented using the original bare states, and so do the in-state and out-state. The exact S matrix is thus obtained. We then discuss the behaviors of the dynamically generated S-wave and P-wave discrete states as the coupling is varying when there is only one self-interacting bare continuum state. We find that even when the potential is repulsive there could also be resonances and virtual states. In the P-wave cases with attractive interaction, we find that when there is a near-threshold bound state, there will always be an accompanying virtual state and we also give a more general argument of this effect. Published by AIP Publishing.
类目[WOS]: Physics, Mathematical
关键词[WOS]: ELEMENTARY PARTICLE ;  STATES
项目资助者: China National Natural Science Foundation [11105138, 11575177, 11235010]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/22019
Appears in Collections:理论物理所2017年知识产出_期刊论文

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Recommended Citation:
Xiao, ZG,Zhou, ZY. Partial wave decomposition in Friedrichs model with self-interacting continua[J]. JOURNAL OF MATHEMATICAL PHYSICS,2017,58(7):72102.
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