Production of Mesons as a Shock Wave Problem

Multi-meson production in two-nucleon collision is described as a shock wave process which is governed by a non-linear wave equation. Since one deals with big quantum numbers, these quantum processes may be approximately described by means of the correspondece prin- ciple. Analysing solutions to the non-linear wave equation one can get the energy and angular distribution for dierent meson sorts. An analysis of experimental data on the -meson production obtained in last years tells us that a collision of two nucleons of high energy produces a big number of mesons. The fact that the strong interaction of nucleons with mesons and, in particular, of mesons with themselves results in such a multiple production was established long time ago (4). In oder to give a quantitative estimation of the energy dissipation in meson field one can compare this process with a turbulence flow (5). Some other way as Fermi did (3) is to consider the temperature balance in a moment of collision. It allows to calculate the energy distribution of mesons. The present consideration of the problem is based on the point of view that was suggested by author in 1939 in connection with the Yukawa theory (4). The meson production is considered as a shock wave process which