Universality for Three Bosons with Large, Negative Effective Range: Aspects and Addenda
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914776287805440 |
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| author | Griesshammer, Harald W. |
| author_facet | Griesshammer, Harald W. |
| contents | Resummed-Range Effective Field Theory is the consistent non-relativistic Effective Field Theory of point interactions in systems with large two-body scattering length $a$ and an effective range $r_0$ large in magnitude but negative. Its leading order is non-perturbative, and its observables depend only on the dimensionless ratio $ξ:=2r_0/a$ once $|r_0|$ is chosen as base unit. This presentation highlights aspects for three identical spinless bosons and adds details to a previous discussion [1]. At leading order, no three-body interaction is needed. A ground state exists only in the range $0.366\ldots\geξ\ge-8.72\ldots$, and excited states display self-similarity and Discrete Scale Invariance, with small corrections for nonzero $r_0$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_15402 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universality for Three Bosons with Large, Negative Effective Range: Aspects and Addenda Griesshammer, Harald W. Nuclear Theory Quantum Gases Atomic and Molecular Clusters Atomic Physics Quantum Physics Resummed-Range Effective Field Theory is the consistent non-relativistic Effective Field Theory of point interactions in systems with large two-body scattering length $a$ and an effective range $r_0$ large in magnitude but negative. Its leading order is non-perturbative, and its observables depend only on the dimensionless ratio $ξ:=2r_0/a$ once $|r_0|$ is chosen as base unit. This presentation highlights aspects for three identical spinless bosons and adds details to a previous discussion [1]. At leading order, no three-body interaction is needed. A ground state exists only in the range $0.366\ldots\geξ\ge-8.72\ldots$, and excited states display self-similarity and Discrete Scale Invariance, with small corrections for nonzero $r_0$. |
| title | Universality for Three Bosons with Large, Negative Effective Range: Aspects and Addenda |
| topic | Nuclear Theory Quantum Gases Atomic and Molecular Clusters Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2401.15402 |