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The red dwarf pair GJ65AB: inflated, spinning twins of Proxima

The nearby red dwarf binary GJ65AB (UB+BL Ceti, M5.5Ve+M6Ve) is a cornerstone system to probe the physics of very low mass stars. We present new interferometric measurements of the angular diameters of the two components of GJ65AB with the PIONIER instrument in the H band: thetaUD (A) = 0.558 +/- 0.008 +/- 0.020 mas and thetaUD (B) = 0.539 +/- 0.009 +/- 0.020 mas. They translate into limb-darkened angular diameters of LD (A) = 0.573 +/- 0.021 mas and LD (B) = 0.554 +/- 0.022 mas. From the known parallax, the radii are R(A) = 0.165 +/- 0.006 Rsun and R(B) = 0.159 +/- 0.006 Rsun (sigma(R)/R = 4%). We also observed GJ65AB with the VLT/NACO adaptive optics and refine the orbital parameters and infrared magnitudes of the system. We derive masses for the two components of m(A) = 0.1225 +/- 0.0043 Msun and m(B) = 0.1195 +/- 0.0043 Msun (sigma(m)/m = 4%). To derive the radial and rotational velocities of the two stars, as well as their relative metallicity with respect to Proxima, we also present new individual UVES high resolution spectra. Placing GJ65 A&B in the mass-radius diagram shows that their radii are larger respectively by 14 +/- 4% and 12 +/- 4% compared to expectations from the models by Baraffe et al. (2015). Following Chabrier et al. (2007), we propose that this discrepancy is caused by the inhibition of convective energy transport by a strong internal magnetic field generated by dynamo effect in these two fast rotating stars. A comparison with the almost identical twin but slowly-rotating Proxima strengthens this hypothesis, as the radius of Proxima does not appear inflated compared to models.