Analytical and numerical study of the burn performance in central ignition

Neutrons energy deposition and energy gain of deuterium-tritium fusion targets in the central ignition inertial confinementfusion scheme are studied by numerical calculations. these calculations are based on a description of thestagnation phase where the rate of change of energy in the hot spot is determined by the competition of the energylosses due to thermal conduction and radiation with the heating due to compressional work and alpha particle energydeposition. as a result, the target gain is obtained as a function of the beam energy input on the target, for differentvalues of the isentrope parameter α and hydrodynamic coupling coefficient (eta). results show that the growth procedureof target gain decreases with the incident driver energy, whereas, increase in the hydrodynamic coupling coefficientcauses the target gain increases considerably. in addition, the neutrons deposition energy is calculated by themcnp code. our calculations show that the neutrons energy deposition causes the target gain decreases considerably,in comparison with a case that the deposited energy of neutrons is ignored, as the percent of gain reduction is10% for low values of the incident driver energy and 50% for high values of it.