ITP OpenIR  > 理论物理所2016年知识产出
Virtual states and the generalized completeness relation in the Friedrichs model
Xiao, ZG; Zhou, ZY; Xiao, ZG (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
2016
发表期刊PHYSICAL REVIEW D
卷号94期号:7页码:76006
文章类型Article
摘要We study the well-known Friedrichs model, in which a discrete state is coupled to a continuum state. By examining the pole behaviors of the Friedrichs model in a specific form factor thoroughly, we find that, in general, when the bare discrete state is below the threshold of the continuum state, there should also be a virtual-state pole accompanying the bound-state pole originating from the bare discrete state as the coupling is turned on. There are also other second-sheet poles originating from the singularities of the form factor. We give a general argument for the existence of these two kinds of states. As the coupling is increased to a certain value, the second-sheet poles may merge and become higher-order poles. We then discuss the completeness relations incorporating bound states, virtual states, and resonant states corresponding to higher-order poles.
学科领域Astronomy & Astrophysics ; Physics
资助者China National Natural Science Foundation [11105138, 11575177, 11235010] ; China National Natural Science Foundation [11105138, 11575177, 11235010] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry ; China National Natural Science Foundation [11105138, 11575177, 11235010] ; China National Natural Science Foundation [11105138, 11575177, 11235010] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
DOIhttp://dx.doi.org/10.1103/PhysRevD.94.076006
关键词[WOS]GAMOW VECTORS ; RESONANCES ; DEGENERACY
收录类别SCI
语种英语
资助者China National Natural Science Foundation [11105138, 11575177, 11235010] ; China National Natural Science Foundation [11105138, 11575177, 11235010] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry ; China National Natural Science Foundation [11105138, 11575177, 11235010] ; China National Natural Science Foundation [11105138, 11575177, 11235010] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
WOS类目Astronomy & Astrophysics ; Physics, Particles & Fields
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21498
专题理论物理所2016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.
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Xiao, ZG,Zhou, ZY,Xiao, ZG . Virtual states and the generalized completeness relation in the Friedrichs model[J]. PHYSICAL REVIEW D,2016,94(7):76006.
APA Xiao, ZG,Zhou, ZY,&Xiao, ZG .(2016).Virtual states and the generalized completeness relation in the Friedrichs model.PHYSICAL REVIEW D,94(7),76006.
MLA Xiao, ZG,et al."Virtual states and the generalized completeness relation in the Friedrichs model".PHYSICAL REVIEW D 94.7(2016):76006.
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