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Zusammenfassung:
Context. Scaling relations link the physical properties of clusters at cosmic scales. They are used to probe the evolution of large-scale structure, estimate observables of clusters, and constrain cosmological parameters through cluster counts.<br>Aims. We investigate the scaling relations between X-ray observables of the clusters detected in the eFEDS field using Spectrum-Roentgen-Gamma/eROSITA observations taking into account the selection effects and the distributions of observables with cosmic time.<br>Methods. We extract X-ray observables (L<SUB>X</SUB>, L<sub>bol</sub>, T, M<sub>gas</sub>, Y<SUB>X</SUB>) within R<SUB>500<7SUB> for the sample of 542 clusters in the eFEDS field. By applying detection and extent likelihood cuts, we construct a subsample of 265 clusters with a contamination level of <10% (including AGNs and spurious fluctuations) to be used in our scaling relations analysis. The selection function based on the state-of-the-art simulations of the eROSITA sky is fully accounted for in our work.<br>Results. We provide the X-ray observables in the core-included <R<SUB>500<7SUB> and core-excised 0.15 R<SUB>500<7SUB>-R<SUB>500<7SUB> apertures for 542 galaxy clusters and groups detected in the eFEDS field. Additionally, we present our best-fit results for the normalization, slope, redshift evolution, and intrinsic scatter parameters of the X-ray scaling relations between L<SUB>X</SUB> - T, L<SUB>X</SUB> - M<sub>gas</sub>, L<SUB>X</SUB> - Y<SUB>X</SUB>, L<sub>bol</sub> - T, L<sub>bol</sub> - M<sub>gas</sub>, L<sub>bol</sub> - Y<SUB>X</SUB>, and M<sub>gas</sub> - T. We find that the best-fit slopes significantly deviate from the self-similar model at a >4σ confidence level, but our results are nevertheless in good agreement with the simulations including non-gravitational physics, and the recent results that take into account selection effects.<br>Conclusions. The strong deviations we find from the self-similar scenario indicate that the non-gravitational effects play an important role in shaping the observed physical state of clusters. This work extends the scaling relations to the low-mass, low-luminosity galaxy cluster and group regime using eFEDS observations, demonstrating the ability of eROSITA to measure emission from the intracluster medium out to R<SUB>500<7SUB> with survey-depth exposures and constrain the scaling relations in a wide mass-luminosity-redshift range.
