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Xiao, ZG; Zhou, ZY; Xiao, ZG (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
Partial wave decomposition in Friedrichs model with self-interacting continua
Source PublicationJOURNAL OF MATHEMATICAL PHYSICS
Language英语
AbstractWe 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.
2017
Volume58Issue:7Pages:72102
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1063/1.4993193
Funding OrganizationChina National Natural Science Foundation [11105138, 11575177, 11235010] ; China National Natural Science Foundation [11105138, 11575177, 11235010] ; China National Natural Science Foundation [11105138, 11575177, 11235010] ; China National Natural Science Foundation [11105138, 11575177, 11235010]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22019
Collection理论物理所科研产出_SCI论文
Corresponding AuthorXiao, ZG (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
Recommended Citation
GB/T 7714
Xiao, ZG,Zhou, ZY,Xiao, ZG . Partial wave decomposition in Friedrichs model with self-interacting continua[J]. JOURNAL OF MATHEMATICAL PHYSICS,2017,58(7):72102.
APA Xiao, ZG,Zhou, ZY,&Xiao, ZG .(2017).Partial wave decomposition in Friedrichs model with self-interacting continua.JOURNAL OF MATHEMATICAL PHYSICS,58(7),72102.
MLA Xiao, ZG,et al."Partial wave decomposition in Friedrichs model with self-interacting continua".JOURNAL OF MATHEMATICAL PHYSICS 58.7(2017):72102.
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