Towards a dynamical understanding of the non-$D \bar D$ decay of $\psi(3770)$

TL;DR

This paper explores the non-D D-bar decay modes of psi(3770) into vector and pseudoscalar mesons through meson rescattering, providing quantitative predictions and highlighting the significance of long-range interactions.

Contribution

It introduces a model using effective Lagrangian theory to quantify non-D D-bar decay rates of psi(3770) via meson rescattering, constrained by experimental data.

Findings

Predicted branching ratios for psi(3770) to VP are between 0.41% and 0.64%.

Long-range meson rescattering interactions significantly contribute to psi(3770) decays.

OZI-rule-evading processes are important in understanding psi(3770) non-D D-bar decays.

Abstract

We investigate the $\psi(3770)$ non-$D\bar{D}$ decays into $VP$, where $V$ and $P$ denote vector and pseudoscalar mesons, respectively, via OZI-rule-evading intermediate meson rescatterings in an effective Lagrangian theory. By identifying the leading meson loop transitions and constraining the model parameters with the available experimental data for $\psi(3770)\to J/\psi\eta$, $\phi\eta$ and $\rho\pi$, we succeed in making a quantitative prediction for all $\psi(3770)\to VP$ with $BR_{VP}$ from 0.41% to 0.64%. It indicates that the OZI-rule-evading long-range interactions are still playing a role in $\psi(3770)$ strong decays, and could be a key towards a full understanding of the mysterious $\psi(3770)$ non-$D\bar{D}$ decay mechanism.