Chaoticity parameter $\lambda$ in two-pion interferometry in an expanding boson gas model

Abstract

We investigate the chaoticity parameter $\lambda$ in two-pion interferometry in an expanding boson gas model. The degree of Bose-Einstein condensation of identical pions, density distributions, and Hanbury-Brown-Twiss (HBT) correlation functions are calculated for the expanding gas within the mean-field description with a harmonic oscillator potential. The results indicate that a sources with thousands of identical pions may exhibit a degree of Bose-Einstein condensation at the temperatures during the hadronic phase in relativistic heavy-ion collisions. This finite condensation may decrease the chaoticity parameter $\lambda$ in the two-pion interferometry measurements at low pion pair momenta, but influence only slightly the $\lambda$ value at high pion pair momentum.

18 pages, 11 figures

References in corpus (5)

• Two and Three-Pion Quantum Statistics Correlations in Pb-Pb Collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV at the LHC
• Chaoticity Parameter Lambda in Hanbury-Brown Twiss Interferometry
• Cosmological dynamics of $f(R)$ gravity scalar degree of freedom in Einstein frame
• Two-particle interferometry for the sources undergoing first-order QCD phase transition in high energy heavy ion collisions
• Chaotic parameter $\lambda$ in Hanbury-Brown-Twiss interferometry in an anisotropic boson gas model

Cited by in corpus (2)

• Pion transverse-momentum spectrum and elliptic anisotropy of partially coherent source
• Long-range azimuthal correlations for partially coherent pion emission in proton-proton collisions