2011A&A...527A.128C

PSR J1713+0747 is a binary system comprising millisecond radio pulsar with a spin period of 4.57ms, and a low-mass white dwarf (WD) companion orbiting the pulsar with a period of 67.8 days. Using the general relativistic Shapiro delay, the masses of the WD and pulsar components were previously found to be 0.28±0.03M_☉ and 1.3±0.2M_☉ (68% confidence), respectively. Standard binary evolution theory suggests that PSR J1713+0747 evolved from a low-mass X-ray binary (LMXB). Here, we test this hypothesis. We used a binary evolution code and a WD evolution code to calculate evolutionary sequences of LMXBs that could result in binary millisecond radio pulsars such as PSR J1713+0747. During the mass exchange, the mass transfer is nonconservative. Because of the thermal and viscous instabilities developing in the accretion disk, the neutron star accretes only a small part of the incoming material. We find that the progenitor of PSR J1713+0747 can be modelled as an LMXB including a donor star with mass 1.3-1.6 M_☉ and an initial orbital period ranging from 2.40 to 4.15 days. If the cooling timescale of the WD is 8Gyr, its present effective temperature is between 3870 and 4120K, slightly higher than the observed value. We estimate a surface gravity of Log (g)≃7.38-7.40.