Testing the fossil field hypothesis: could strongly magnetized OB stars produce all known magnetars?

Stars of spectral types O and B produce neutron stars (NSs) after supernova explosions. Most of NSs are strongly magnetized including normal radio pulsars with B proportional to 10(12) G and magnetars with B proportional to 10(14) G. A fraction of 7-12 per cent of massive stars are also magnetized with B proportional to 10(3) G and some are weakly magnetized with B proportional to 1 G. It was suggested that magnetic fields of NSs could be the fossil remnants of magnetic fields of their progenitors. This work is dedicated to study this hypothesis. First, we gather all modern precise measurements of surface magnetic fields in O, B, and A stars. Secondly, we estimate parameters for lognormal distribution of magnetic fields in B stars and found mu(B) = 2.83 +/- 0.1 log(10) (G), sigma(B) = 0.65 +/- 0.09 for strongly magnetized and mu(B) = 0.14 +/- 0.5 log(10) (G), sigma = 0.7(-0.27)(+0.57) for weakly magnetized. Third, we assume that the magnetic field of pulsars and magnetars have 2.7-dex difference in magnetic fields and magnetars represent 10 per cent of all young NSs and run population synthesis. We found that it is impossible to simultaneously reproduce pulsars and magnetars populations if the difference in their magnetic fields is 2.7 dex. Therefore, we conclude that the simple fossil origin of the magnetic field is not viable for NSs