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To constrain the equation of state of super-nuclear density matter and probethe interior composition of the X-ray pulsar in SAX J1808.4-3658. In ourestimation, we consider both its persistent 2.49 ms X-ray pulsations discoveredby Wijnands and van der Klis from using the Rossi X-ray Timing Explorer, whichis interpreted to come from an accreting-powered millisecond X-ray pulsar inthe low mass X-ray binaries, and the corresponding mass-radius data analyzed ofthe light curves of SAX J1808.4-3685 during its 1998 and 2005 outbursts byLeahy et al. from assuming a hot spot model where the X-rays are originatedfrom the surface of the neutron star.

Interior matter estimates of the X-ray pulsar in SAX J1808.4-3658 from mass-radius and rotation measurements