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Two-pion Hanbury-Brown-Twiss (HBT) correlations for p+p and central Pb+Pbcollisions at the Large-Hadron-Collider (LHC) energies are investigated withthe ultra-relativistic quantum molecular dynamics model combined with acorrelation afterburner. The transverse momentum dependence of thePratt-Bertsch HBT radii $R_{long}$, $R_{out}$, and $R_{side}$ is extracted froma three-dimensional Gaussian fit to the correlator in the longitudinalco-moving system. In the p+p case, the dependence of correlations on thecharged particle multiplicity and formation time is explored and the dataallows to constrain the formation time in the string fragmentation to $\tau_f\leq 0.8$ fm/c. In the Pb+Pb case, it is found that $R_{out}$ is overpredictedby nearly 50%. The LHC results are also compared to data from the STARexperiment at RHIC. For both energies we find that the calculated$R_{out}/R_{side}$ ratio is always larger than data, indicating that theemission in the model is less explosive than observed in the data.

UrQMD calculations of two-pion HBT correlations in p+p and Pb+Pb collisions at LHC energies