Speaker
Dr
Valery Lyuboshitz
(Joint Institute for Nuclear Research ( Dubna ))
Description
The comparative theoretical analysis of pair correlations of two neutral $K$ mesons and two neutral heavy mesons ( $D, B, B_s$ ), generated in inclusive
processes -- hadron-hadron, hadron--nucleus and nucleus--nucleus collisions -- with strangeness and charm ( beauty ) conservation, is performed . For $K^0$ mesons, relations describing the dependence of the correlations of two short-lived and two long-lived neutral kaons and the correlations of "mixed" pairs $K^0_S K^0_L$ at small relative momenta upon the space-time parameters of the generation region of $K^0$ and $\bar{K}^0$ mesons have been obtained. It is shown that under the strangeness conservation the correlation functions of the pairs $K^0_S K^0_S$ and $K^0_L K^0_L$, produced in the same inclusive process, coincide, and the difference between the correlation functions of the pairs $K^0_S K^0_S$ and $K^0_S K^0_L$ is conditioned exclusively by the production of the pairs of non-identical neutral kaons $K^0 \bar{K}^0$.
For the case of $D^0$, $B^0$ and $B_s^0$ mesons, correlations have the quite analogous character and they are described by quite similar expressions: in particular, just as for $K^0$ mesons, the correlation functions for the pairs of states with the same $CP$ parity ( $R_{SS}=R_{LL}$ ) and for the pairs of states with different $CP$ parity ( $R_{SL}$ ) do not coincide, and the difference between them is conditioned exclusively by the production of the pairs $D^0 \bar{D}^0, B^0 \bar{B}^0, B_s^0 \bar{B}_s^0$. However, contrary to the case of $K^0$ mesons, here the distinction of $CP$-even and $CP$-odd states encounters difficulties -- due to the insignificant differences of their lifetimes and the relatively small
probability of purely $CP$-even and $CP$-odd decay channels, and one may hope that it will become possible at future colliders .
Primary author
Dr
Valery Lyuboshitz
(Joint Institute for Nuclear Research ( Dubna ))
Co-author
Dr
Vladimir Lyuboshitz
(Joint Institute for Nuclear Research, Dubna)
