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The first detections of black hole - neutron star mergers (GW200105 andGW200115) by the LIGO-Virgo-Kagra Collaboration mark a significant scientificbreakthrough. The physical interpretation of pre- and post-merger signalsrequires careful cross-examination between observational and theoreticalmodelling results. Here we present the first set of black hole - neutron starsimulations that were obtained with the numerical-relativity code BAM. Ourinitial data are constructed using the public LORENE spectral library whichemploys an excision of the black hole interior. BAM, in contrast, uses themoving-puncture gauge for the evolution. Therefore, we need to ``stuff'' theblack hole interior with smooth initial data to evolve the binary system intime. This procedure introduces constraint violations such that the constraintdamping properties of the evolution system are essential to increase theaccuracy of the simulation and in particular to reduce spurious center-of-massdrifts. Within BAM we evolve the Z4c equations and we compare ourgravitational-wave results with those of the SXS collaboration and resultsobtained with the SACRA code. While we find generally good agreement with thereference solutions and phase differences $\lesssim 0.5$ rad at the moment ofmerger, the absence of a clean convergence order in our simulations does notallow for a proper error quantification. We finally present a set of differentinitial conditions to explore how the merger of black hole neutron star systemsdepends on the involved masses, spins, and equations of state.

Black-Hole Neutron Star Simulations with the BAM code: First Tests and Simulations