The hadronic decay of vector charmonium

Abstract

The extraction of decay parameters using lattice techniques is a computationally expensive task, requiring several volumes and group irreps to relate the spectrum on a lattice simulation to the infinite volume scattering. In this project we employ an alternative method based on a narrow-width approximation to extract the hadronic mixing $<\bar{D}D|\ddot{I}ˆ(3770)>$, which is needed to compute the decay $\hat{I}“(\ddot{I}ˆ(3770)\to \bar{D}D)$ between the second excited state of vector charmonium and a pair of $D$-mesons in a $p$-wave. We carry out our lattice simulations on two CLS ensembles at $m_{\ddot{I}}€\sim 440\text{MeV}$ and $a\sim 0.066\text{fm}$ and obtain results compatible with experiment. Furthermore, we interpret our results analytically using the ${}^3{P}_0$ quark model.

9 pages, 5 figures, 4 tables, contribution to the 41st International Symposium on Lattice Field Theory (LATTICE2024), 28 July - 3 August 2024, Liverpool, United Kingdom