On the pair correlations of neutral K, D, B and B_s mesons with close momenta produced in inclusive multiparticle processes

1 Jun 2016, 17:10
20m
Room III

Room III

Speaker

Valery V. Lyuboshitz (Dubna)

Summary

The phenomenological structure of inclusive cross-sections of the production of two neutral $K$ mesons in hadron--hadron, hadron--nucleus
and nucleus--nucleus collisions is theoretically investigated taking into account the strangeness conservation in strong and electromagnetic
interactions. Relations describing the dependence
of the correlations of two short-lived and two long-lived neutral kaons $K^0_S K^0_S$,
$K^0_L K^0_L$ 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, involving the contributions of Bose statistics and S-wave
strong final-state interaction, 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 comparison, the theoretical analysis of analogous correlations for the pairs of neutral heavy mesons $D^0$, $B^0$ and $B_s^0$, generated in multiple inclusive processes with charm ( beauty ) conservation, is performed as well ( neglecting, just as for the case of $K^0$ mesons, the weak effects of $CP$ violation ). These correlations 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 with different $CP$ parity ($R_{SL}$) do not coincide, and the difference between them is conditioned exclusively by the production of pairs $D^{0}\bar{D}^{0}$,
$B^{0}\bar{B}^{0}$ and $B_s^{0}\bar{B}_s^{0}$ .
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. Nevertheless, one may hope that it will become possible at future colliders.

Primary author

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