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The most massive neutron stars constrain the behavior of ultra-dense matter, with larger masses possible only for increasingly stiff equations of state. Here, we present evidence that the black-widow pulsar, PSR B1957+20, has a high mass. We took spectra of its strongly irradiated companion and found an observed radial-velocity amplitude of Kobs = 324 ± 3 km s-1. Correcting this for the fact that, due to the irradiation, the center of light lies inward relative to the center of mass, we infer a true radial-velocity amplitude of K2 = 353 ± 4 km s-1 and a mass ratio q = MPSR/M2 = 69.2 ± 0.8. Combined with the inclination i = 65° ± 2° inferred from models of the light curve, our best-fit pulsar mass is MPSR = 2.40 ± 0.12 M☉. We discuss possible systematic uncertainties, in particular, in the light curve modeling. Taking an upper limit of i 85° based on the absence of radio eclipses at high frequency, combined with a conservative lower limit to the motion of the center of mass, K2 343 km s-1 (q 67.3), we infer a lower limit to the pulsar mass of MPSR 1.66 M☉
Kerkwijk et al. (Tue,) studied this question.