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The theoretical study of $D_s^+\to\pi^+\pi^0\pi^0$

High Energy Physics - Phenomenology 2023-03-02 v3
Authors: Xuan Luo , Aojia Xu , Ruitian Li , Hao Sun
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Abstract

Inspired by recent BESIII's amplitude analysis on Ds+→π+π0π0D_s^+\to\pi^+\pi^0\pi^0, we develop a model based on the chiral unitary approach to discribe the Ds+→π+π0π0D_s^+\to\pi^+\pi^0\pi^0 decay, where Ds+D_s^+ decays into a π+\pi^+ and a quark-antiquark pair through weak decay of charm quark. The interaction of pseudoscalar mesons produced by the hadronization of quark-antiquark pair will lead to dynamically generated f0(980)f_0(980). The dominant amplitudes from resonances f0(1370)f_0(1370) and f2(1270)f_2(1270) in BESIII fit are also included in our model. In addition to above contributions, to obtain a good fit we also add a amplitude from resonance f2(1430)f_2(1430) to our model. Our model fits well Mπ0π0M_{\pi^0\pi^0} and Mπ+π0M_{\pi^+\pi^0} invariant mass distributions simultaneously.

Keywords

Ds decay chiral unitary approach hadronic weak decay dynamically generated resonance amplitude analysis invariant mass distribution

Cite

@article{arxiv.2212.12284,
  title  = {The theoretical study of $D_s^+\to\pi^+\pi^0\pi^0$},
  author = {Xuan Luo and Aojia Xu and Ruitian Li and Hao Sun},
  journal= {arXiv preprint arXiv:2212.12284},
  year   = {2023}
}

Comments

8 pages, 6 figures, 1 table. Updated to match published version

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