Study of isospin correlation in high energy S + Pb and Pb + Pb interactions with a magnetic-interferometric-emulsion-chamber. Final report

This report describes the research results of the study of high energy heavy-ion interactions and multi-cluster correlations at the University of Alabama in Huntsville (UAH). This study has been performed as the CERN experiments, EMU05, EMU09 and EMU16, and a part of the RHIC PHENIX and its MVD Collaboration work. Physics objectives and methods are described in chapters 1, 2, 3 and Appendices A1 and A2. The experimental set-up, measurements, an the data analyses at UAH are described in chapters 4 through 10 and Appendices. The UAH research was a quest for high density state of nuclear matter, in terms of finding analysis methods of multi-isospin correlations. The present work emphasized a study of the fluctuation of the particle density, discriminating the isospin for exploring the Disoriented Chiral Condensate (DCC). The analysis methods developed are: (1) Chi-square density test; (2) Run-test; (3) G-test; (4) Fourier analysis; and (5) Lomb`s Periodogram. The application of these methods for central collision events in 2,000 GeV/n S + Pb and 167 GeV/n Pb + Pb produced interesting DCC correlations for a few events. However, further investigation of fluctuations with Monte Carlo method guided them to understand various hidden degree of freedoms in such analyses. The results of the analysis of the experimental data in comparison with the Monte Carlo data did not support the DCC process as compelling. The developed methods evolved for a plan to investigate the DCC in the PHENIX. The study has obtained several mathematical analysis methods from the CERN EMU05/16 experiments for a possible use in RHIC experiments