Di-$J/\ddot{I}ˆ$ structures from the quark Pauli-blocking effect

Abstract

The double-charmonium scattering states such as $J/\ddot{I}ˆJ/\ddot{I}ˆ$, $\hat{I}{\cdot }_{c}J/\ddot{I}ˆ$, and $\hat{I}{\cdot }_c\hat{I}{\cdot }_c$ are investigated by a simplified quark cluster model. It is found that the quark Pauli-principle over the $c\bar{c}c\bar{c}$ system causes a rapid increase and a node in the two-meson phase shifts. The increase is not large enough to be regarded as a resonance, but if it is seen experimentally, that is most likely the quark Pauli-blocking effect.

8 pages, 6 figures, QCHSC24 proceedings