Chaoticity parameterλin two-pion interferometry in an expanding boson gas model

Abstract

We investigate the chaoticity parameter λ 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 λ in the two-pion interferometry measurements at low pion pair momenta, but influence only slightly the λ value at high pion pair momentum.

Effects of Heat Transfer Analysis Through Boson Femtoscopy with Fraction Order Differentiation

“…Bose Einstein condensation even though has been known long time due to its existence in various system like superfluid helium which verified in various laboratories [22]. We are curious in the analysis of boson gas of indistinguishable pions inside the potential of harmonic oscillator ones that commences from the hadronic medium mean field in the collision of heavy nuclei at higher energy [20,21,23]. The time dependent oscillator potential prescribed by…”

“…where δ = 1.88 and v ex = 0.62 [21]. We will utilize this temperature formula within our calculations which determined with relativistic hydrodynamics and the considered characteristic length l. We have been able to use the parameterized temperature formula in our computations of difference equations which developed through relativistic hydrodynamics for source investigations and will considered the characteristics length l as…”

“…The numerical values of fugacity Z parameter lies between one and zero because the number of coherence particles N co ≥ 0. With the help of aforementioned equations along with energy states of the given oscillator [20,21], we can examine the parameter of fugacity Z with fixed N T and afterwards can measure the coherence and chaotic fractions, respectively. Actually, Bose…”

“…We compute the full three particles interferences, genuine correlations and the normalized interferences by using one and two particle density matrices within the hadronic phase temperature region about 60-170 MeV. The coherence influences of particle production source on the genuine correlations functions significantly in the interferometry measurements at various temperatures and momenta which are explored [20,21].…”

Effect of pion versus kaon interferometry on the chaotic parameter

“…17 In Fig. 1, we plot the unit energy ω and characteristic length a versus temperature system at fixed temperature are always larger than the value of kaon system.…”