$D^*\bar{D}_1(2420)$ and $D\bar{D}'^*(2600)$ interactions and the charged charmonium-like state $Z(4430)$

TL;DR

This paper investigates the interactions between specific meson pairs using a one-boson-exchange model, identifying potential bound states related to the $Z(4430)$, but finds no such states in another meson pair.

Contribution

It provides a theoretical analysis of meson interactions, proposing a possible explanation for the $Z(4430)$ as a bound state of $D^*ar{D}_1(2420)$.

Findings

Bound state solutions for $D^*ar{D}_1(2420)$ suggest a possible relation to $Z(4430)$.

No bound states found for $Dar{D}'^*(2600)$ interaction.

The model supports the molecular interpretation of certain exotic states.

Abstract

The $D^*\bar{D}_1(2420)$ and $D\bar{D}'^*(2600)$ interactions are studied in a one-boson-exchange model. Isovector bound state solutions with spin parity $J^P=1^{+}$ are found from the $D^*\bar{D}_1(2420)$ interaction, which may be related to the observed charged charmonium-like state $Z(4430)$. There is no bound state solution found from the $D\bar{D}'^*(2600)$ interaction.