Some insights into the newly observed $Z_c(4100)$ in $B^0\to \eta_c K^+ \pi^-$ by LHCb

The newly reported exotic signal $Z_c(4100)$ by the LHCb Collaboration in the invariant mass spectrum of $\eta_c\pi^-$ in $B^0\to \eta_c K^+ \pi^-$ has been a new experimental evidence for an exotic meson containing four constituent quarks. Although the present experimental information is very limited, we show that its correlations with some existing exotic candidates can be recognized. This signal can be either caused by final state interaction effects or a $P$-wave resonance state arising from the $D^*\bar{D}^*$ interaction. For the latter option its neutral partner will have exotic quantum numbers of $I^G(J^{PC})=1^-(1^{-+})$. This signal, if confirmed, would provide important clues for dynamics for producing multiquark systems in $B$ meson decays and $e^+e^-$ annihilations.