Exotic in dense and cold nuclear matter

The way to create and to investigate a dense cold matter droplets in the laboratory is proposed. The reality of this approach are argued. Estimated possible statistic is large enough for detail study of the properties of such a matter. Mechanism of kinematical cooling of the droplet is clarified. Different types of trigger(selection criteria) are proposed to search for different kind of exotic.

Residual correlations between decay products of $pi^0pi^0$ and $pSigma^0$ systems

Residual correlations between decay products due to a combination of both correlations between parents at small relative velocities and small decay momenta are discussed. Residual correlations between photons from pion decays are considered as a new possible source of information on direct photon fraction. Residual correlations in $pgamma$ and $pLambda$ systems due to $pSigma^0$ interaction in final state are predicted based on the $pSigma^0$ low energy scattering parameters deduced from the spin-flavour SU$_6$ model by Fujiwara et al. including effective meson exchange potentials and explicit flavour symmetry breaking to reproduce the properties of the two-nucleon system and the low-energy hyperon-nucleon cross section data. The $pgamma_{Sigma^0}$ residual correlation is concentrated at $k^* approx 70$ Mev/$c$ and its shape and intensity appears to be sensitive to the scattering parameters and space-time dimensions of the source. The $pLambda_{Sigma^0}$ residual correlation recovers the negative parent $pSigma^0$ correlation for $k^* > 70$ Mev/$c$. The neglect of this negative residual correlation would lead to the underestimation of the parent $pLambda$ correlation effect and to an overestimation of the source size.