The $DDσ$, $DDρ$, $D^*D^*σ$ and $D^*D^*ρ$ coupling constants

Hee-Jin Kim, Hyun-Chul Kim

Published 2019-12-25Version 1

We investigate the $\sigma$ and $\rho$ coupling constants for the $DD$ and $D^*D^*$ interactions, based on correlated $2\pi$ exchange in the $DD$ and $D^*D^*$ interactions. Starting from the $D\bar{D}\to \pi\pi$ and $D^*\bar{D}^*\to \pi\pi$ amplitudes derived in the pseudophysical region ($4m_\pi^2\le t \le 52m_\pi^2$) with the $S$- and $P$-wave $2\pi$ correlations considered, we obtain the spectral function for the $DD\to DD$ and $D^*D^*\to D^*D^*$ amplitude with correlated $S$- and $P$-wave $2\pi$ exchange. Using the pole approximation, we estimate the $DD\sigma$, $DD\rho$, $D^*D^*\sigma$, and $D^*D^*\rho$ coupling constants. The results are compared with those of other models.