Energy- Angular Correlation of Medium Energy Particles Produced in Heavy Ion Collisions.pdf

Energy- Angular Correlation of Medium Energy Particles Produced in Heavy Ion Collisions M.T. Hussein, N.M. Hassan, N.M. Sadek and Jamila Elsweedy Physics Department, Faculty of Science, Cairo University, 12613 Giza, Egypt Abstract The nuclear photo-emulsion technique is used to study the information carried by the medium energy nucleons produced in heavy ion collisions. Multiplicity, energies as well as the angular distribution of this type of particles are measured. Due to the difficulties in measuring the energy only some particles having special criteria could be selected to measure their energy with consenting accuracy. A hypothetical model is proposed to correlate the energy of the produced particles to their emission angles so that it becomes easy to estimate the energy distribution in terms of measured emission angle. The proposed model is constructed upon statistical thermodynamic assumptions. Moreover, two additional base functions are originated that play the role of the statistical angular weight factor and the nuclear density of the compressed nuclear matter at the moment of particle emission. The prediction of the model are compared with complete set of measured data of the reactions of proton, helium, carbon and neon nuclei with the composite emulsion nuclei as target at 4.2 A GeV. 1. Introduction The nuclear emulsion is a good tool in dealing with high energy nuclear reaction. It has the ability to detect and identify particles in the outlet channel of the reaction. The dynamic characteristics of the reaction can be determined perfectly by resume precise measurement of the angular distribution, the energy spectra as well as the charge distribution of the produced particles which carry information about the mechanism of the interaction. Unfortunately, the measurements of the energy of charged particles is a tedious work and requires pursuing their path through the emulsion plates for enough long distance to get accur