Abstract

From the data collected in the Compact Muon Solenoid (CMS) Pb-Pb nucleon collisions experiment, the two-pion Bose-Einstein correlation functions for different combination of same charges and different charges are plotted. The influence of repulsion and attraction through Coulomb interaction between charged pions is reduced after applying the standard Gamow-factor Coulomb correction on Gaussian function C(Qinv). According to the Yano-koonin-Podgoretski parametrization, the five-dimensional components of the invariant momentum difference between two pions are calculated. One of the five components, the momentum difference in the transverse plane QT, can be further divided into Qside and Qout. Q0, Qlong, Qside and Qout were then separately plotted and fitted with the Gaussian function. The sizes of pion source or the effective interferometric source can be extracted from the fitting finally.

Highlights

  • The Large Hadron Collider (LHC) was founded with the expectation that it would provide answers to some of the most fundamental questions in physics, such as the existence of the Higgs boson, supersymmetry, and dark matter

  • Pb-Pb nucleon collisions in the Compact Muon Solenoid (CMS) experiment, one of the two general-purpose detectors built on the LHC

  • Our data analysis is based on the data collected by detectors in the CMS Pb-Pb collisions experiment

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Summary

Research Background

Particle accelerators became an essential part of physics research in the late 1960 s when scientists first found evidence of the existence of quarks, through the deep inelastic scattering experiments at the Stanford Linear. TH=150 MeV (exceeding 1.66 10 Kelvin), at relativistic energy The produced particles, such as the pions in the CMS Pb-Pb collisions, are in the QGP state. The measured momenta of pions are used for the calculation of the four-momentum difference Q and the Bose-Einstein correlation function. This principle can be applied to the calculation of the typical distance between the deconfined elementary particles, quarks, and gluons, within the Quark Gluon Plasma (QGP). The invariant momentum Qinv of different pion pairs in the same (Signal) and different (Background) events were separately calculated and counted into the functions S(Q) and B(Q) This subsequently produced the Bose-Einstein correlation function C(Q), which was refined with the Gamow factor. Yano-Koonin-Podgoretski parametrization [4], the invariant momentum difference was divided into the five components Q0, Q/ /, Q , Y , K

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