Berechnung der Neutronenemission eines mit einer Hohlpinchentladung erzeugten D-T-Plasmas

The number of neutrons per discharge which are emitted during the collapse of a hollow D-T-z-pinch is calculated. In the system of differential equations describing the radial acceleration of the cylinder by Lorentz-forces the internal pressure of the sheath is incorporated. Due to the pressure-term it is possible to calculate the time dependance of density, temperature and reactionrate within the sheath. Using a capacitor bank of 200 kJoule at 100 kV and a hollow cylinder of 30 cm initial radius and 10 cm height the emission of 3·1013 neutrons is expected during the implosion phase, lasting a few nsec. The optimization of the experimental parameters for maximum neutron emission is given.