The Four-Boson First-Excited State Near Two-Body Unitarity
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866917628072689664 |
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| author | Wu, Feng Frederico, T. Higa, R. van Kolck, U. |
| author_facet | Wu, Feng Frederico, T. Higa, R. van Kolck, U. |
| contents | Near two-body unitarity, the three-boson system is characterized by an approximate discrete scale invariance manifest in a geometric tower of bound states (the Efimov effect). In the absence of a strong four-body force, the four-boson system has two states associated with each Efimov state, one very nearly unstable, the other several times deeper. We study correlations between the excited- and ground-state properties, such as binding energies and radii, up to next-to-leading order in an effective field theory for short-range forces. We obtain the parameters in these correlations from similar correlations arising from existing precise calculations based on short-range potentials. We also derive correlations among excited-state properties that emerge from the proximity of the state to the break-up threshold into a boson and a three-boson bound state, using an effective field theory for "halo" states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17079 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Four-Boson First-Excited State Near Two-Body Unitarity Wu, Feng Frederico, T. Higa, R. van Kolck, U. Atomic Physics Nuclear Theory Near two-body unitarity, the three-boson system is characterized by an approximate discrete scale invariance manifest in a geometric tower of bound states (the Efimov effect). In the absence of a strong four-body force, the four-boson system has two states associated with each Efimov state, one very nearly unstable, the other several times deeper. We study correlations between the excited- and ground-state properties, such as binding energies and radii, up to next-to-leading order in an effective field theory for short-range forces. We obtain the parameters in these correlations from similar correlations arising from existing precise calculations based on short-range potentials. We also derive correlations among excited-state properties that emerge from the proximity of the state to the break-up threshold into a boson and a three-boson bound state, using an effective field theory for "halo" states. |
| title | The Four-Boson First-Excited State Near Two-Body Unitarity |
| topic | Atomic Physics Nuclear Theory |
| url | https://arxiv.org/abs/2310.17079 |