Pionic transitions from to D wave charmonia

Xiao-Yu Qi; Qi Wu; Dian-Yong Chen

doi:10.1140/epjc/s10052-023-12151-0

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 1006
https://doi.org/10.1140/epjc/s10052-023-12151-0

Regular Article - Theoretical Physics

Pionic transitions from $Z_{c} (4020)$ to D wave charmonia

Xiao-Yu Qi¹, Qi Wu² and Dian-Yong Chen¹^,3^c

¹ School of Physics, Southeast University, 210094, Nanjing, People’s Republic of China
² Institute of Particle and Nuclear Physics, Henan Normal University, 453007, Xinxiang, China
³ Lanzhou Center for Theoretical Physics, Lanzhou University, 730000, Lanzhou, China

^c chendy@seu.edu.cn

Received: 25 July 2023
Accepted: 15 October 2023
Published online: 6 November 2023

Abstract

In the present work, we investigate the charmed meson loops contributions to the pionic transitions from $Z_{c} {(4020)}^{+}$ $$Z_c(4020)^+$$ to the D wave triplets charmonia by using an effective Lagrangian approach. Our estimations indicate that the predicted branching fraction of $Z_{c} {(4020)}^{+} \to π^{+} ψ (1^{3} D_{J}), J = (1, 2, 3)$ $Z_c(4020)^+ \rightarrow \pi ^+ \psi (1^3D_J), \ J=(1,2,3)$ are much smaller than the one of $Z_{c} {(4020)}^{+} \to π^{+} h_{c}$ $Z_c(4020)^+ \rightarrow \pi ^+ h_c$ . Thus, searching $Z_{c} {(4020)}^{\pm}$ $Z_c(4020)^\pm$ in the $π^{\pm} ψ (1^{3} D_{J})$ $\pi ^\pm \psi (1^3D_J)$ invariant mass distributions is impossible. Thus, the observed peak structures at 4.04 and 4.13 GeV in the $π^{\pm} ψ (3770)$ $\pi ^\pm \psi (3770)$ invariant mass distributions should not come from the contributions of $Z_{c} {(4020)}^{\pm}$ $Z_c(4020)^\pm$ , and further precise experimental measurements of the $e^{+} e^{-} \to π^{+} π^{-} ψ (3770)$ $e^+ e^- \rightarrow \pi ^+ \pi ^- \psi (3770)$ process are needed to decode the nature of these two peak structures.

© The Author(s) 2023

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