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arXiv · 2607.10722

From hyperon--nucleon interactions to deuteron--hyperon femtoscopy

Jiaxing Zhao
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Abstract

I investigate the low-energy scattering and femtoscopic correlation functions of the $d-\Lambda$, $d-\Sigma$, and $d-\Xi$ systems within a microscopic folding approach. The effective deuteron--hyperon interactions are constructed by folding the HAL-QCD hyperon--nucleon potentials with the deuteron wave function, while the spin and isospin structures are treated through Wigner-$6j$ recoupling coefficients. Using the resulting interactions, I calculate the scattering parameters and momentum correlation functions for all spin channels. No bound states are found for the $d-\Lambda$, $d-\Sigma$, or $d-\Xi$ systems. Nevertheless, the $d-\Lambda$ correlation exhibits a pronounced low-momentum enhancement associated with a large scattering length and a near-threshold pole, whereas the $d-\Sigma$ correlation is suppressed by its predominantly repulsive interaction. The neutral $d-\Xi^{0}$ system shows only a moderate enhancement, while the charged $d-\Xi^{-}$ correlation is strongly amplified by the attractive Coulomb interaction. I further investigate feed-down effects from $\Sigma^{0}$, $\Sigma(1385)$, and $\Xi$ decays using Monte Carlo response matrices and demonstrate that these decays clearly modify the observable $d-\Lambda$ correlation. The results provide quantitative predictions for future femtoscopic measurements and establish deuteron--hyperon correlations as a sensitive probe of hyperon--nucleus interactions.

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Jiaxing Zhao. 2026-07-12. From hyperon--nucleon interactions to deuteron--hyperon femtoscopy. https://arxiv.org/abs/2607.10722

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