Correlation functions for $n\,\bar{D}_{s1}(2460)$ and $n\,\bar{D}_{s1}(2536)$
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908482005893120 |
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| author | Agatão, Breno Brandão, Pedro Torres, A. Martinez Khemchandani, K. P. Abreu, Luciano M. Oset, E. |
| author_facet | Agatão, Breno Brandão, Pedro Torres, A. Martinez Khemchandani, K. P. Abreu, Luciano M. Oset, E. |
| contents | We study the interaction of the $n \bar {D}_{s1}(2460)$ and $n \bar {D}_{s1}(2536)$ systems from the perspective that the $D_{s1}(2460)$ and $D_{s1}(2536)$ states are molecular states of $K D^*$ and $K^*D$, respectively. We use an improved version of the fixed center approximation to the Faddeev equations which fulfills exact elastic unitarity at the threshold of the systems. We predict the existence of resonant states below threshold and also determine the scattering length, effective range and correlation functions of these systems, showing that the results contain important information to test the assumed molecular nature of the two $D_{s1}$ states. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_05825 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Correlation functions for $n\,\bar{D}_{s1}(2460)$ and $n\,\bar{D}_{s1}(2536)$ Agatão, Breno Brandão, Pedro Torres, A. Martinez Khemchandani, K. P. Abreu, Luciano M. Oset, E. High Energy Physics - Phenomenology Nuclear Theory We study the interaction of the $n \bar {D}_{s1}(2460)$ and $n \bar {D}_{s1}(2536)$ systems from the perspective that the $D_{s1}(2460)$ and $D_{s1}(2536)$ states are molecular states of $K D^*$ and $K^*D$, respectively. We use an improved version of the fixed center approximation to the Faddeev equations which fulfills exact elastic unitarity at the threshold of the systems. We predict the existence of resonant states below threshold and also determine the scattering length, effective range and correlation functions of these systems, showing that the results contain important information to test the assumed molecular nature of the two $D_{s1}$ states. |
| title | Correlation functions for $n\,\bar{D}_{s1}(2460)$ and $n\,\bar{D}_{s1}(2536)$ |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2508.05825 |