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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2511.12538 |
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| _version_ | 1866917084196241408 |
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| author | Bazak, Betzalel |
| author_facet | Bazak, Betzalel |
| contents | Small clusters of $^4$He atoms provide a paradigmatic setting for exploring universal phenomena in few-body quantum systems with large scattering length. Their weakly bound states serve as ideal test cases for studying Efimov physics and the emergence of universality beyond the three-body sector. In this work, we investigate few-$^4$He systems within a finite-cutoff effective field theory (EFT) framework. The EFT interactions are calibrated to reproduce low-energy observables obtained from the realistic LM2M2 potential, enabling a direct and systematic comparison between the two approaches. We demonstrate that, for suitably chosen finite cutoffs, the empirical effective range is accurately reproduced already at leading order, achieving next-to-leading-order precision without explicit higher-order corrections. Using these interactions, we solve the Schrödinger equation for systems of a few atoms, obtaining binding energies and scattering observables in excellent agreement with results derived from realistic interatomic potentials. In particular, we compute atom--tetramer scattering parameters and binding energies of clusters up to eight atoms, thereby extending the EFT description to larger helium systems. Our findings establish a quantitative bridge between realistic helium potentials and finite-cutoff EFT, showing that the latter provides an efficient and predictive framework for describing few-body universality in weakly bound quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12538 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Small clusters of He atoms in finite-cutoff EFT Bazak, Betzalel Quantum Gases Atomic Physics Quantum Physics Small clusters of $^4$He atoms provide a paradigmatic setting for exploring universal phenomena in few-body quantum systems with large scattering length. Their weakly bound states serve as ideal test cases for studying Efimov physics and the emergence of universality beyond the three-body sector. In this work, we investigate few-$^4$He systems within a finite-cutoff effective field theory (EFT) framework. The EFT interactions are calibrated to reproduce low-energy observables obtained from the realistic LM2M2 potential, enabling a direct and systematic comparison between the two approaches. We demonstrate that, for suitably chosen finite cutoffs, the empirical effective range is accurately reproduced already at leading order, achieving next-to-leading-order precision without explicit higher-order corrections. Using these interactions, we solve the Schrödinger equation for systems of a few atoms, obtaining binding energies and scattering observables in excellent agreement with results derived from realistic interatomic potentials. In particular, we compute atom--tetramer scattering parameters and binding energies of clusters up to eight atoms, thereby extending the EFT description to larger helium systems. Our findings establish a quantitative bridge between realistic helium potentials and finite-cutoff EFT, showing that the latter provides an efficient and predictive framework for describing few-body universality in weakly bound quantum systems. |
| title | Small clusters of He atoms in finite-cutoff EFT |
| topic | Quantum Gases Atomic Physics Quantum Physics |
| url | https://arxiv.org/abs/2511.12538 |