Virtual states in the coupled-channel problems with an improved complex scaling method
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911780938186752 |
|---|---|
| author | Chen, Yan-Ke Meng, Lu Lin, Zi-Yang Zhu, Shi-Lin |
| author_facet | Chen, Yan-Ke Meng, Lu Lin, Zi-Yang Zhu, Shi-Lin |
| contents | We improve the complex scaling method (CSM) to obtain virtual states, which were previously challenging in the conventional CSM. Our approach solves the Schrödinger equation in the momentum space as an eigenvalue problem by choosing the flexible contours. It proves to be highly effective in identifying the poles across the different Riemann sheets in the multichannel scatterings. It is more straightforward and efficient than searching for the zeros of the Fredholm determinant of the Lippmann-Schwinger equation using the root-finding algorithms. This advancement significantly extends the capabilities of the CSM in accurately characterizing the resonances and virtual states in quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12424 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Virtual states in the coupled-channel problems with an improved complex scaling method Chen, Yan-Ke Meng, Lu Lin, Zi-Yang Zhu, Shi-Lin High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory Atomic Physics Quantum Physics We improve the complex scaling method (CSM) to obtain virtual states, which were previously challenging in the conventional CSM. Our approach solves the Schrödinger equation in the momentum space as an eigenvalue problem by choosing the flexible contours. It proves to be highly effective in identifying the poles across the different Riemann sheets in the multichannel scatterings. It is more straightforward and efficient than searching for the zeros of the Fredholm determinant of the Lippmann-Schwinger equation using the root-finding algorithms. This advancement significantly extends the capabilities of the CSM in accurately characterizing the resonances and virtual states in quantum systems. |
| title | Virtual states in the coupled-channel problems with an improved complex scaling method |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2308.12424 |