Lévy Distributions for One-Dimensional Analysis of the Bose–Einstein Correlations

Figure 5

Dependence of 1D BEC radius (a, b) and strength of correlations (c, d) for Cauchy distribution on low (a, c) and high (b, d) limits of integration in the system of (8a) and (8b) for fixed values of the parameters for Gaussian parametrization: and  fm. The solid lines correspond to the indicated values of the for -dependence (a, c) and to shown values of the for -dependence (b, d). The dashed lines correspond to the calculations based on system (10a) and (10b) for -dependence (a, c) and on system (11a) and (11b) for -dependence (b, d). The thin dotted lines are the ultimate levels  fm (a, b) and (c, d) calculated with help of (6a) and (6b) for given values of the set of Gaussian parameters .

(a)

(b)

(c)

(d)