Three-body model of $^{6}$He with non-local halo effective field theory potentials
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866908388369104896 |
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| author | Pinilla, E. C. Leidemann, W. Orlandini, G. Descouvemont, P. |
| author_facet | Pinilla, E. C. Leidemann, W. Orlandini, G. Descouvemont, P. |
| contents | We study the $^6$He Borromean nucleus in coordinate representation within a three-body model with two-body potentials derived from cluster effective field theory (EFT). These potentials are originally developed in momentum space and Fourier transformed to provide non-local potentials in configuration space. We use hyperspherical coordinates in combination with the Lagrange-mesh technique to compute the ground state energy, root mean square radius and the E1 strength distribution of $^6$He. We also introduce a three-body interaction to eliminate dependencies on the cutoff parameter of the two-body potentials on the ground state energy. The E1 strength distribution exhibits a low lying resonance as expected. However it is strongly influenced by the choice of the three-body EFT interaction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03074 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-body model of $^{6}$He with non-local halo effective field theory potentials Pinilla, E. C. Leidemann, W. Orlandini, G. Descouvemont, P. Nuclear Theory We study the $^6$He Borromean nucleus in coordinate representation within a three-body model with two-body potentials derived from cluster effective field theory (EFT). These potentials are originally developed in momentum space and Fourier transformed to provide non-local potentials in configuration space. We use hyperspherical coordinates in combination with the Lagrange-mesh technique to compute the ground state energy, root mean square radius and the E1 strength distribution of $^6$He. We also introduce a three-body interaction to eliminate dependencies on the cutoff parameter of the two-body potentials on the ground state energy. The E1 strength distribution exhibits a low lying resonance as expected. However it is strongly influenced by the choice of the three-body EFT interaction. |
| title | Three-body model of $^{6}$He with non-local halo effective field theory potentials |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2409.03074 |