Effective field theory for weakly bound two-neutron halo nuclei: corrections from neutron-neutron effective range
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| Format: | Preprint |
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2025
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| _version_ | 1866916867700948992 |
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| author | Costa, Davi B. Hongo, Masaru Son, Dam Thanh |
| author_facet | Costa, Davi B. Hongo, Masaru Son, Dam Thanh |
| contents | Using an effective field-theoretical approach, we investigate the properties of weakly bound two-neutron halo nuclei (also known as Borromean nuclei) that do not support a low-energy $s$-wave core-neutron resonance. Extending the recently formulated effective field theory for weakly bound Borromean nuclei, we incorporate corrections arising from the effective range of neutron-neutron scattering and evaluate their impact on the mean-square radii and electromagnetic response. In particular, we compute the ratio of the matter and charge radii, the shape of the $E1$ dipole strength function, and the electric polarizability. Our results indicate that these corrections remain numerically small when the two-neutron separation energy of the Borromean nucleus is much less than 1~MeV. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_18519 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective field theory for weakly bound two-neutron halo nuclei: corrections from neutron-neutron effective range Costa, Davi B. Hongo, Masaru Son, Dam Thanh Nuclear Theory Quantum Gases High Energy Physics - Theory Using an effective field-theoretical approach, we investigate the properties of weakly bound two-neutron halo nuclei (also known as Borromean nuclei) that do not support a low-energy $s$-wave core-neutron resonance. Extending the recently formulated effective field theory for weakly bound Borromean nuclei, we incorporate corrections arising from the effective range of neutron-neutron scattering and evaluate their impact on the mean-square radii and electromagnetic response. In particular, we compute the ratio of the matter and charge radii, the shape of the $E1$ dipole strength function, and the electric polarizability. Our results indicate that these corrections remain numerically small when the two-neutron separation energy of the Borromean nucleus is much less than 1~MeV. |
| title | Effective field theory for weakly bound two-neutron halo nuclei: corrections from neutron-neutron effective range |
| topic | Nuclear Theory Quantum Gases High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.18519 |