Abstract
The energy dependence is investigated for a wide set of space-time characteristics derived from Bose–Einstein correlations of secondary pion pairs produced in proton-proton and nucleus-nucleus interactions. Analytic functions suggested for smooth approximations of the energy dependence of emission region parameters demonstrate reasonable agreement with all available experimental results for proton-proton collisions while the approximations correspond to most of experimental data for nucleus-nucleus collisions at energies above 5 GeV. Estimations for a wide set of space-time quantities are obtained for energies for the Future Circular Collider (FCC) project based on the smooth approximations. The space particle densities at freeze-out are derived also from estimations for the volume of the emission region and for total multiplicity at FCC energies. Estimations for charged particle density and its critical value allow the possibility of lasing behavior for secondary pions in nucleus-nucleus collisions at FCC energy. The mathematical formalism is presented for study of the peak shape of correlation function for general case of central-symmetrical Lévy–Feldheim distribution.
Highlights
When two energetic particles or nuclei collide, some matter is created in finite space-time volume
Energy dependence is investigated for main Bose–Einstein correlations (BEC) parameters from the set G1 derived in the framework of 3D Gaussian approach in p + p collisions as well as for the set of important additional observables G2
Smooth curves calculated for energy dependence of the set G2 of additional BEC parameters agree with corresponding experimental data at least of qualitative level
Summary
When two energetic particles or nuclei collide, some matter is created in finite space-time volume. Study of source geometry in new energy domain with help of BEC seems important for better understanding of both the equation of state (EOS) of strongly interacting matter and general dynamic features of soft processes. The peak shape carries information, in particular, about the possible complex highly irregular geometry of the source [10, 11], the UA(1) symmetry restoration in high energy heavy ion reactions [12], and so forth. The paper is focused on the study of azimuthally integrated BEC of secondary charged pions produced in strong interactions, especially, on the space-time extent of pion emission region and the possible novel features of multiparticle production mechanism (pion laser) at FCC energies.
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