This paper reports measurements of two-pion Bose-Einstein (HBT) correlations in Be+Be collisions at a beam momentum of 150 by the experiment at the CERN SPS accelerator. The obtained momentum space correlation functions can be well described by a Lévy distributed source model. The transverse mass dependence of the Lévy source parameters is presented, and their possible theoretical interpretations are discussed. The results show that the Lévy exponent is approximately constant as a function of , and far from both the Gaussian case of or the conjectured value at the critical endpoint, . The radius scale parameter shows a slight decrease in , which can be explained as a signature of transverse flow. Finally, an approximately constant trend of the intercept parameter as a function of was observed, different from measurement results at RHIC.

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