Scalar resonance contributions in the $D_{s1}(2460)^{+} \rightarrow D_{s}^{+}π^{+}π^{-}$ reaction

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Autori principali: Wang, Zhong-Yu, Li, Yu-Shuai, Luo, Si-Qiang
Natura: Preprint
Pubblicazione: 2024
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author Wang, Zhong-Yu
Li, Yu-Shuai
Luo, Si-Qiang
author_facet Wang, Zhong-Yu
Li, Yu-Shuai
Luo, Si-Qiang
contents Inspired by the newly observed $T_{c\bar{s}}$ state in the $D_{s1}(2460)^{+} \rightarrow D_{s}^{+}π^{+}π^{-}$ reaction by the LHCb Collaboration, we investigate the amplitude of this decay to explore the origins and properties of the open-charm tetraquark state based on the final state interaction. The invariant mass distributions of $D_{s}^{+}π^{+}$ and $π^{+}π^{-}$ are well reproduced by the $S$-wave scattering amplitudes of the coupled channel systems $D_{s}π$ and $ππ$. However, neither the tree-level nor both the tree-level and $ππ$ coupled channel scattering contributions can describe the experimental data well, which indicates that the $D_{s}π$ coupled channel scattering is required. We find that the $T_{c\bar{s}}$ and $f_{0}(500)$ resonances are dynamically generated from the pseudoscalar-pseudoscalar meson interaction within the chiral unitary approach. In addition, we find the corresponding poles and also calculate the $S$-wave scattering length for the $DK$ channel, which is on the same scale as the result extracted from the experiment. We propose that the $T_{c\bar{s}}$ and $f_{0}(500)$ resonances in the $D_{s1}(2460)^{+} \rightarrow D_{s}^{+}π^{+}π^{-}$ reaction are hadronic molecular type particles.
format Preprint
id arxiv_https___arxiv_org_abs_2412_06446
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Scalar resonance contributions in the $D_{s1}(2460)^{+} \rightarrow D_{s}^{+}π^{+}π^{-}$ reaction
Wang, Zhong-Yu
Li, Yu-Shuai
Luo, Si-Qiang
High Energy Physics - Phenomenology
Inspired by the newly observed $T_{c\bar{s}}$ state in the $D_{s1}(2460)^{+} \rightarrow D_{s}^{+}π^{+}π^{-}$ reaction by the LHCb Collaboration, we investigate the amplitude of this decay to explore the origins and properties of the open-charm tetraquark state based on the final state interaction. The invariant mass distributions of $D_{s}^{+}π^{+}$ and $π^{+}π^{-}$ are well reproduced by the $S$-wave scattering amplitudes of the coupled channel systems $D_{s}π$ and $ππ$. However, neither the tree-level nor both the tree-level and $ππ$ coupled channel scattering contributions can describe the experimental data well, which indicates that the $D_{s}π$ coupled channel scattering is required. We find that the $T_{c\bar{s}}$ and $f_{0}(500)$ resonances are dynamically generated from the pseudoscalar-pseudoscalar meson interaction within the chiral unitary approach. In addition, we find the corresponding poles and also calculate the $S$-wave scattering length for the $DK$ channel, which is on the same scale as the result extracted from the experiment. We propose that the $T_{c\bar{s}}$ and $f_{0}(500)$ resonances in the $D_{s1}(2460)^{+} \rightarrow D_{s}^{+}π^{+}π^{-}$ reaction are hadronic molecular type particles.
title Scalar resonance contributions in the $D_{s1}(2460)^{+} \rightarrow D_{s}^{+}π^{+}π^{-}$ reaction
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2412.06446