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| Format: | Preprint |
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2020
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| Online Access: | https://arxiv.org/abs/2007.07080 |
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| _version_ | 1866912552144863232 |
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| author | Garcilazo, H. Valcarce, A. Vijande, J. |
| author_facet | Garcilazo, H. Valcarce, A. Vijande, J. |
| contents | We review our recent work about the stability of strange few-body systems containing $N$'s, $Λ$'s, and $Ξ$'s. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifts of the nucleon-nucleon system and the latest updates of the hyperon-nucleon and hyperon-hyperon ESC08c Nijmegen potentials. We solve the three- and four-body bound-state problems by means of Faddeev equations and a generalized Gaussian variational method, respectively. The hypertriton, $Λnp$ $(I)J^P=(1/2)1/2^+$, is bound by 144 keV; the recently discussed $Λnn$ $(I)J^P=(1/2)1/2^+$ system is unbound, as well as the $ΛΛnn$ $(I)J^P=(1)0^+$system, being just above threshold. Our results indicate that the $ΞNN$, $ΞΞN$ and $ΞΞNN$ systems with maximal isospin might be bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_07080 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Stable bound states of $N$'s, $Λ$'s, and $Ξ$'s Garcilazo, H. Valcarce, A. Vijande, J. Nuclear Theory High Energy Physics - Phenomenology We review our recent work about the stability of strange few-body systems containing $N$'s, $Λ$'s, and $Ξ$'s. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifts of the nucleon-nucleon system and the latest updates of the hyperon-nucleon and hyperon-hyperon ESC08c Nijmegen potentials. We solve the three- and four-body bound-state problems by means of Faddeev equations and a generalized Gaussian variational method, respectively. The hypertriton, $Λnp$ $(I)J^P=(1/2)1/2^+$, is bound by 144 keV; the recently discussed $Λnn$ $(I)J^P=(1/2)1/2^+$ system is unbound, as well as the $ΛΛnn$ $(I)J^P=(1)0^+$system, being just above threshold. Our results indicate that the $ΞNN$, $ΞΞN$ and $ΞΞNN$ systems with maximal isospin might be bound. |
| title | Stable bound states of $N$'s, $Λ$'s, and $Ξ$'s |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2007.07080 |