Bose Einstein and Fermi Dirac interferometry in particle physics

Abstract

The application of the Bose-Einstein and Fermi-Dirac interferometry to multi-hadron final states of particle reactions is reviewed. The underlying theoretical concepts of particle interferometry is presented where a special emphasis is given to the recently proposed Fermi-Dirac correlation analysis. The experimental tools used for the interferometry analyses and the interpretation of their results are discussed in some details. In particular the interpretation of the dimension r, as measured from the interferometry analysis, is investigated and compared to that measured in heavy-ion collisions. Finally the similarity between the dependence of r on the hadron mass and the interatomic separation on the atomic mass in Bose condensates is outlined.

Centrality dependence of pion freeze-out radii in Pb-Pb collisions atsNN=2.76 TeV

“…Two-pion correlations at low relative momentum were first shown to be sensitive to the interaction volume of the emitting source inp + p collisions by Goldhaber et al 50 years ago [13]. Since then, they were studied in e + + e − [14], hadronand lepton-hadron [15], and heavy-ion [16][17][18][19][20][21][22][23][24][25] collisions. Especially in the heavy-ion case, two-particle femtoscopy has been developed into a precision tool to probe the dynamically generated spatial structure of the emitting system.…”

Multiplicity, Jet, and Transverse Mass dependence of Bose-Einstein Correlations in e+e−- Annihilation

“…It has been suggested, on several grounds [17], that r should depend on the particle mass as r ∝ 1/ √ m. Values of r found at  for various types of particle are shown in Fig. 2.…”

Neutral kaon correlations in <FONT FACE=Symbol>Ö</FONT>S NN = 200 GeV Au+Au collisions at RHIC

“…On the other hand, the K 0 andK 0 are two different particles and one may not expect correlations if one K 0 s comes from K 0 and the other one fromK 0 . Nevertheless, it can be shown [24] (see also [25][26][27]) that only the symmetric part of the K 0K0 amplitude contributes to the K 0 s K 0 s system and thus also leads to a Bose-Einstein enhancement at small relative momentum (on the contrary, only the anti-symmetric part of the K 0K0 amplitude contributes to the K 0 s K 0 l system and leads to the "Fermi-Dirac like" suppression). The K 0 s K 0 s correlation thus includes a unique interference term that may provide additional space-time information.…”