Borromean states in a one-dimensional three-body system
We show the existence of Borromean bound states in a one-dimensional quantum three-body system composed of two identical bosons and a distinguishable particle. It is assumed that there is no interaction between the two bosons, while the mass-imbalanced two-body subsystems can be tuned to be either b...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013090 |
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| _version_ | 1832590462346592256 |
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| author | Tobias Schnurrenberger Lucas Happ Maxim A. Efremov |
| author_facet | Tobias Schnurrenberger Lucas Happ Maxim A. Efremov |
| author_sort | Tobias Schnurrenberger |
| collection | DOAJ |
| description | We show the existence of Borromean bound states in a one-dimensional quantum three-body system composed of two identical bosons and a distinguishable particle. It is assumed that there is no interaction between the two bosons, while the mass-imbalanced two-body subsystems can be tuned to be either bound or unbound. Within the framework of the Faddeev equations, the three-body spectrum and the corresponding wave functions are computed numerically. In addition, we identify the parameter-space region for the two-body interaction, where the Borromean states occur, evaluate their geometric properties, and investigate their dependence on the mass ratio. |
| format | Article |
| id | doaj-art-4d6883d630314f9c9cf4a793eb01689a |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-4d6883d630314f9c9cf4a793eb01689a2025-01-23T16:09:23ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101309010.1103/PhysRevResearch.7.013090Borromean states in a one-dimensional three-body systemTobias SchnurrenbergerLucas HappMaxim A. EfremovWe show the existence of Borromean bound states in a one-dimensional quantum three-body system composed of two identical bosons and a distinguishable particle. It is assumed that there is no interaction between the two bosons, while the mass-imbalanced two-body subsystems can be tuned to be either bound or unbound. Within the framework of the Faddeev equations, the three-body spectrum and the corresponding wave functions are computed numerically. In addition, we identify the parameter-space region for the two-body interaction, where the Borromean states occur, evaluate their geometric properties, and investigate their dependence on the mass ratio.http://doi.org/10.1103/PhysRevResearch.7.013090 |
| spellingShingle | Tobias Schnurrenberger Lucas Happ Maxim A. Efremov Borromean states in a one-dimensional three-body system Physical Review Research |
| title | Borromean states in a one-dimensional three-body system |
| title_full | Borromean states in a one-dimensional three-body system |
| title_fullStr | Borromean states in a one-dimensional three-body system |
| title_full_unstemmed | Borromean states in a one-dimensional three-body system |
| title_short | Borromean states in a one-dimensional three-body system |
| title_sort | borromean states in a one dimensional three body system |
| url | http://doi.org/10.1103/PhysRevResearch.7.013090 |
| work_keys_str_mv | AT tobiasschnurrenberger borromeanstatesinaonedimensionalthreebodysystem AT lucashapp borromeanstatesinaonedimensionalthreebodysystem AT maximaefremov borromeanstatesinaonedimensionalthreebodysystem |