Studying the $KΛ$ strong interaction with femtoscopic correlation functions and the $N^*(1535)$
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| Format: | Preprint |
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2025
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| _version_ | 1866908362872979456 |
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| author | Liu, Si-Wei Xie, Ju-Jun |
| author_facet | Liu, Si-Wei Xie, Ju-Jun |
| contents | We investigate the $K Λ$ strong interaction dynamics around the energy region of $N^*(1535)$ resonance through femtoscopic correlation functions within the Koonin-Pratt formalism, where coupled-channel effects of $πN$, $KΛ$, $K Σ$ and $ηN$ channels are taken into account, by means of which the $N^*(1535)$ resonance can be dynamically generated in the chiral unitary approach. Two-body scattering amplitudes are calculated using the chiral unitary approach, and the corresponding wave functions and correlation functions are obtained. Our analysis shows that the $πN$ channel becomes important to the $K^+Λ$ correlation function through coupled channel effects, even if its mass threshold is far from the energy region of the $N^*(1535)$. Furthermore, with the picture that the $N^*(1535)$ is a dynamically generated state, we can get a good reproduction of the experimental data on the $K^+Λ$ correlation function. This work establishes femtoscopic correlation functions as a sensitive probe for coupled-channel dynamics and validates the Koonin-Pratt framework in multi-channel hadronic systems, offering critical insights into some exotic hadron states and strong interaction mechanisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22453 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Studying the $KΛ$ strong interaction with femtoscopic correlation functions and the $N^*(1535)$ Liu, Si-Wei Xie, Ju-Jun High Energy Physics - Phenomenology Nuclear Theory We investigate the $K Λ$ strong interaction dynamics around the energy region of $N^*(1535)$ resonance through femtoscopic correlation functions within the Koonin-Pratt formalism, where coupled-channel effects of $πN$, $KΛ$, $K Σ$ and $ηN$ channels are taken into account, by means of which the $N^*(1535)$ resonance can be dynamically generated in the chiral unitary approach. Two-body scattering amplitudes are calculated using the chiral unitary approach, and the corresponding wave functions and correlation functions are obtained. Our analysis shows that the $πN$ channel becomes important to the $K^+Λ$ correlation function through coupled channel effects, even if its mass threshold is far from the energy region of the $N^*(1535)$. Furthermore, with the picture that the $N^*(1535)$ is a dynamically generated state, we can get a good reproduction of the experimental data on the $K^+Λ$ correlation function. This work establishes femtoscopic correlation functions as a sensitive probe for coupled-channel dynamics and validates the Koonin-Pratt framework in multi-channel hadronic systems, offering critical insights into some exotic hadron states and strong interaction mechanisms. |
| title | Studying the $KΛ$ strong interaction with femtoscopic correlation functions and the $N^*(1535)$ |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2503.22453 |