connection with the cosmic ray event at energy $10^{16}$ eV (in the target rest system $E_t$) with the ring-like structure first observed [@23]. This energy just corresponds to LHC energies. The partons emitting such gluons move with high energy in the forward direction. With ${\rm Re} F(E_t)$ fitted to experimental data and dispersion relation predictions at high energies one can expect (see [@1; @2]) that the excess of $n$ over 1 behaves as $$\Delta n_R(E_t)\approx \frac {a\nu_h}{E_t}\theta (E_t-E_{th}).   \label{nh}$$ Here, $a\approx 2\cdot 10^{-3}$ GeV is a parameter of ${\rm Re} F(E_t)$ obtained from experiment (with dispersion relations used) and $\nu _h$ is the parton density for high energy region. It can differ from $\nu $ used at low energies. $\Delta n_R(E_t)$ is small and decreases with energy for constant $\nu _h$. It would imply that the medium reminds a gas but not a liquid for very high energy gluons, i.e. it becomes more transparent.

The angles of the cone emission in c.m.s. of LHC experiments must be very large nevertheless (first estimates in [@2] are 60$^o$ - 70$^o$), i.e. the peaks can be seen in the pionization region at central pseudorapidities. In more detail it is discussed in [@1; @2; 