The theoretical study of \(D_s^+\to\pi^+\pi^0\pi^0\)

• Published in: arXiv.org
• Main Authors: Luo, Xuan, Xu, Aojia, Li, Ruitian, Sun, Hao
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 01.03.2023
• Subjects: Amplitudes; Charm (particle physics); Decay; Mesons; Quarks
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2212.12284

Inspired by recent BESIII's amplitude analysis on \(D_s^+\to\pi^+\pi^0\pi^0\), we develop a model based on the chiral unitary approach to discribe the \(D_s^+\to\pi^+\pi^0\pi^0\) decay, where \(D_s^+\) decays into a \(\pi^+\) 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 \(f_0(980)\). The dominant amplitudes from resonances \(f_0(1370)\) and \(f_2(1270)\) 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 \(f_2(1430)\) to our model. Our model fits well \(M_{\pi^0\pi^0}\) and \(M_{\pi^+\pi^0}\) invariant mass distributions simultaneously.