ITP OpenIR  > 理论物理所2017年知识产出
Partial wave decomposition in Friedrichs model with self-interacting continua
Xiao, ZG; Zhou, ZY; Xiao, ZG (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
2017
发表期刊JOURNAL OF MATHEMATICAL PHYSICS
卷号58期号:7页码:72102
文章类型Article
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.
学科领域Physics
资助者China 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]
DOIhttp://dx.doi.org/10.1063/1.4993193
关键词[WOS]ELEMENTARY PARTICLE ; STATES
语种英语
资助者China 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]
WOS类目Physics, Mathematical
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22019
专题理论物理所2017年知识产出
通讯作者Xiao, ZG (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
推荐引用方式
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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