HD 23472: A multi-planetary system with three super-Earths and two potential super-Mercuries

We report the characterisation of a multi-planetary system composed of five exoplanets orbiting the K-dwarf HD~23472 (TOI-174). In addition to the two super-Earths that were previously confirmed, we confirm and characterise three Earth-size planets in the system using ESPRESSO radial velocity observations. The planets of this compact system have periods of $P_d \sim 3.98\,$, $P_e \sim 7.90\,$, $P_f \sim 12.16\,$, $P_b \sim 17.67,\,$ and $P_c \sim 29.80\,$days and radii of $R_d \sim 0.75\,$ , $R_e \sim 0.82,$, $R_f \sim 1.13\,$, $R_b \sim 2.01,\,$ and, $R_c \sim 1.85\,$ \REarth. Because of its small size, its proximity to planet d's transit, and close resonance with planet d, planet e was only recently found. The planetary masses were estimated to be $M_d =0.54\pm0.22$, $M_e =0.76\pm0.30$, $M_f =0.64_{-0.39}^{+0.46}$, $M_b = 8.42_{-0.84}^{+0.83}$, and $M_c = 3.37_{-0.87}^{+0.92}$ \MEarth. These planets are among the lightest planets, with masses measured using the radial velocity method, demonstrating the very high precision of the ESPRESSO spectrograph. We estimated the composition of the system's five planets and found that their gas and water mass fractions increase with stellar distance, suggesting that the system was shaped by irradiation. The high density of the two inner planets ($\rho_d = 7.5_{-3.1}^{+3.9}$ and $\rho_e = 7.5_{-3.0}^{+3.9}\, \mathrm{g.cm^{-3}}$) indicates that they are likely to be super-Mercuries. This is supported by the modelling of the internal structures of the planets, which also suggests that the three outermost planets have significant water or gas content If the existence of two super-Mercuries in the system is confirmed, this system will be the only one known to feature two super-Mercuries, making it an excellent testing bed for theories of super-Mercuries formation. (Abridged)