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Collective flows of protons and deuterons in Au + Au collisions at $E_{beam}$ = 1.23$A$ GeV by the IQMD model

Collective flows of protons and deuterons for Au + Au collisions at beam energy $E_{beam}$ = 1.23 $A$ GeV were simulated by an Isospin dependent Quantum Molecular Dynamics (IQMD) model. Two coalescence models, namely naive coalescence and dynamical coalescence models, for the formation of deuterons are compared. After reasonable match of rapidity spectra of protons and deuterons to the High Acceptance DiElectron Spectrometer (HADES) data is reached, we apply an event-plane method to calculate the first four-order collective flow coefficients as well as the ratios of $<v_4>/<v_2>^2$ and $<v_3>/<v_1><v_2>$, and observe the number of constituent nucleon scaling among protons and deuterons. In addition, the dependence of $ε_n$ and $v_n$ as well as the ratio $<v_n>$/$ε_n$ on the centrality is obtained. Lastly, we further investigate the Pearson coefficients $corr(v_n,v_m)$ between the first four harmonic flows for protons and deuterons as a function of rapidity and centrality.