Constraints on the neutron star mass in EXO 0748−676. Under the assumption that the companion is filling its Roche lobe, the eclipse measurement of the eclipse duration gives a relation between the mass ratio q=M2/M1 and the inclination of the orbit (Horne 1985). Furthermore, the mass ratio relates to the rotational velocity v sin i and the radial velocity semi-amplitude K2. The dashed lines show curves for specific rotational velocities. Finally, the neutron star mass function relates the neutron star mass to the mass ratio and the radial velocity semi-amplitude, giving the solid lines for specific neutron star masses. The horizontal grey area is excluded by our lower limit on the radial velocity semi-amplitude of Kem= 410 ± 5 km s−1, setting K2 > 405 km s−1, while the diagonal grey area is excluded in order to satisfy that all emission originates between the radial velocity of L1 and the centre of mass of the companion (VL1 < Kem < K2). These constraints dictate that the neutron star is heavier than M1 > 1.27 M⊙. The hashed area is the mass range of M1= 2.10 ± 0.28 M⊙ favoured by the work of Özel (2006).
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