Dynamics study of $Z^+(4430)$ and X(3872) in molecular picture

Understand

In this talk, we review our recent work about the dynamical studies of $Z^+(4430)$ and X(3872).

• $Z^+(4430)$ can not be explained as a $D_1'D^*$ or $D_1D^*$ molecular state only considering one pion exchange potential without the cutoff, which needs to be confirmed by introducing sigma exchange potential and adding the cutoff in the effective potential.
• One also excludes the possibility of X(3872) as a $DD^*$ molecular state by one pion and one sigma exchanges with the cutoff.
• Fortunately there exists an S-wave $BB^*$ bound state with $J^{PC}=1^{++}$.