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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.14937 |
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| _version_ | 1866909580651397120 |
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| author | Xiao, Zhiguang Zhou, Zhi-Yong |
| author_facet | Xiao, Zhiguang Zhou, Zhi-Yong |
| contents | In this study, we present several improvements of the non-relativistic Friedrichs-Lee model with multiple discrete and continuous states and still retain its solvability. Our findings establish a solid theoretical basis for the exploration of resonance phenomena in scenarios involving multiple interfering states across various channels. The scattering amplitudes associated with the continuum states naturally adhere to coupled-channel unitarity, rendering this framework particularly valuable for investigating hadronic resonant states appearing in multiple coupled channels. Moreover, this generalized framework exhibits a wide-range applicability, enabling investigations into resonance phenomena across diverse physical domains, including hadron physics, nuclear physics, optics, and cold atom physics, among others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14937 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the generalized Friedrichs-Lee model with multiple discrete and continuous states Xiao, Zhiguang Zhou, Zhi-Yong High Energy Physics - Phenomenology Mathematical Physics Nuclear Theory Quantum Physics In this study, we present several improvements of the non-relativistic Friedrichs-Lee model with multiple discrete and continuous states and still retain its solvability. Our findings establish a solid theoretical basis for the exploration of resonance phenomena in scenarios involving multiple interfering states across various channels. The scattering amplitudes associated with the continuum states naturally adhere to coupled-channel unitarity, rendering this framework particularly valuable for investigating hadronic resonant states appearing in multiple coupled channels. Moreover, this generalized framework exhibits a wide-range applicability, enabling investigations into resonance phenomena across diverse physical domains, including hadron physics, nuclear physics, optics, and cold atom physics, among others. |
| title | On the generalized Friedrichs-Lee model with multiple discrete and continuous states |
| topic | High Energy Physics - Phenomenology Mathematical Physics Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2310.14937 |