Novel correlated $D^0\overline{D}{}^0$ systems for $c/b$ physics and tests of $T/CPT$

Abstract

Decays of charmonia(-like) particles with definite $J^{PC}$ (e.g. ${\chi }_{c1}(3872)$) to a $D^0\overline{D}{}^0$ system and any combination of $C$-definite decay particles, are sources of quantum-correlated $D^0\overline{D}{}^0$ systems with $C=P=\pm 1$. Several $b$-hadron decays also produce quantum-correlated $D^0\overline{D}{}^0$ systems. Advantages of isolating these systems in their $C=+1$ components for amplitude analyses and studies of lineshapes are discussed. Methods to separate the $C=\pm 1$ $D^0\overline{D}{}^0$ components from ${\chi }_{c1}(3872)$ decay samples are presented. Studies of $T$ and $CPT$ conservation in $C=+1$ $D^0\overline{D}{}^0$ systems can be performed with more easily reconstructible final states, when compared to $C=-1$ $D^0\overline{D}{}^0$ systems. Experimental mechanisms that can produce $C=\pm 1$ $D^0\overline{D}{}^0$ systems are described in an appendix.

Comments: 43 pages, 5 figures