Context : PSR J1713+0747 is a binary system comprising millisecond radio pulsar with a spin period of 4.57 ms , 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 \pm 0.03 M _ { \odot } and 1.3 \pm 0.2 M _ { \odot } ( 68 % confidence ) , respectively .

Aims : Standard binary evolution theory suggests that PSR J1713+0747 evolved from a low-mass X-ray binary ( LMXB ) .
Here , we test this hypothesis .

Methods : 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 .

Results : 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 _ { \odot } and an initial orbital period ranging from 2.40 to 4.15 days .
If the cooling timescale of the WD is 8 Gyr , its present effective temperature is between 3870 and 4120 K , slightly higher than the observed value .
We estimate a surface gravity of { Log } ( g ) \approx 7.38 - 7.40 .

Conclusions :