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

Abstract

Abstract Decays of charmonia(-like) particles with definite JPC (e.g. χc1(3872)) to a $$ {D}^0{\overline{D}}^0 $$ D 0 D ¯ 0 system and any combination of C-definite decay particles, are sources of quantum-correlated $$ {D}^0{\overline{D}}^0 $$ D 0 D ¯ 0 systems with C = P = ±1. Several b-hadron decays also produce quantum-correlated $$ {D}^0{\overline{D}}^0 $$ D 0 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 = ±1 $$ {D}^0{\overline{D}}^0 $$ D 0 D ¯ 0 components from χc1(3872) decay samples are presented. Studies of T and CPT conservation in C = +1 $$ {D}^0{\overline{D}}^0 $$ D 0 D ¯ 0 systems can be performed with more easily reconstructible final states, when compared to C = −1 $$ {D}^0{\overline{D}}^0 $$ D 0 D ¯ 0 systems. Experimental mechanisms that can produce C = ±1 $$ {D}^0{\overline{D}}^0 $$ D 0 D ¯ 0 systems are described in an appendix.