$Ξ$-deuteron low-energy $s$-wave phase shifts and momentum correlation functions in Faddeev formulation
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| Format: | Preprint |
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2026
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| _version_ | 1866918489241944064 |
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| author | Kohno, M. Kamada, H. |
| author_facet | Kohno, M. Kamada, H. |
| contents | The low-energy $Ξ$-deuteron scattering is investigated through the solution of Faddeev equations, employing three sets of the currently available parametrization of the $Ξ$-nucleon interactions. One of these is the chiral NLO interaction parametrized by the Jülich group, and the other two are based on the calculations by the HAL-QCD method. The $s$-wave phase shifts in the $J=3/2$ and $J=1/2$ states are presented. Three-body wave functions in coordinate space are constructed from the Faddeev amplitudes in momentum space. These functions are used in the calculation of $Ξd$ momentum correlation functions. The effects of the deuteron breakup are significant in the $J=3/2$ channel. The differences in the magnitude of the calculated correlation function show the quantitative difference of the $ΞN$ interactions in the spin-isospin channels. The prospective experimental data on the $Ξd$ momentum correlation function could contribute to a better description of the $ΞN$ interactions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_07258 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $Ξ$-deuteron low-energy $s$-wave phase shifts and momentum correlation functions in Faddeev formulation Kohno, M. Kamada, H. Nuclear Theory The low-energy $Ξ$-deuteron scattering is investigated through the solution of Faddeev equations, employing three sets of the currently available parametrization of the $Ξ$-nucleon interactions. One of these is the chiral NLO interaction parametrized by the Jülich group, and the other two are based on the calculations by the HAL-QCD method. The $s$-wave phase shifts in the $J=3/2$ and $J=1/2$ states are presented. Three-body wave functions in coordinate space are constructed from the Faddeev amplitudes in momentum space. These functions are used in the calculation of $Ξd$ momentum correlation functions. The effects of the deuteron breakup are significant in the $J=3/2$ channel. The differences in the magnitude of the calculated correlation function show the quantitative difference of the $ΞN$ interactions in the spin-isospin channels. The prospective experimental data on the $Ξd$ momentum correlation function could contribute to a better description of the $ΞN$ interactions. |
| title | $Ξ$-deuteron low-energy $s$-wave phase shifts and momentum correlation functions in Faddeev formulation |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2605.07258 |