Speaker
Description
Two-hadron wave functions lacking a well-defined $G$ parity contain both $C$-even and $C$-odd components. We study how this mixing affects the femtoscopic correlation functions (CFs) of the $D^{0}D^{*-}$, $D^{*0}D^{-}$, $D^{0}D_s^{*-}$ and $D^{*0}D_s^-$ systems, which become sensitive not only to the strong interaction in the $C$-odd sector associated with the exotic states $Z_c(3900)$ and its strange partner $Z_{cs}(3985)$, but also to $C$-even dynamics responsible for the isovector partner $W_{c1}$ of the $X(3872)$. Using a nonrelativistic effective field theory constrained by heavy-quark spin symmetry, we analyze the impact of $C$-mixing on the $D^{(*)0}D^{(*)-}$ and $D^{(*)0}D_s^{(*)-}$ CFs within the coupled-channel systems $J/\psi\pi^- \text{--} D^0D^{*-} \text{--} D^{*0}D^-$ and $J/\psi K^- \text{--} D^{*0}D_s^- \text{--} D^{0}D_s^{*-}$, respectively. We show that $C$-mixing induces sizable modifications of the CFs at low relative momenta, thereby providing new constraints on the effective $D^{(*)}\bar{D}^{(*)}_{(s)}$ interactions in the $C$-even sector.