Virtual states and the generalized completeness relation in the Friedrichs model
文献类型：期刊论文
| 作者 | Xiao, ZG; Zhou, ZY; Xiao, ZG (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China. |
| 刊名 | PHYSICAL REVIEW D
 |
| 出版日期 | 2016 |
| 卷号 | 94期号:7页码:76006 |
| DOI | http://dx.doi.org/10.1103/PhysRevD.94.076006 |
| 英文摘要 | 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. |
| 学科主题 | Astronomy & Astrophysics ; Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/21498]  |
| 专题 | 理论物理研究所_理论物理所1978-2010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 . 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. |
入库方式： OAI收割
来源：理论物理研究所
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