We present an analysis of the light curves of SAX J1808.4-3658 during its 1998 and 2002 outbursts. We assume a hot spot model where the X-rays are originate from the surface of the neutron star. We obtain 80%, 90%, 2 σ and 3 σ limits on the mass and radius of SAX J1808.4-3658, which suggest a soft equation of state. At the 3 σ level, the radius must satisfy R < 11.9 km which rules out very stiff equations of state. At the 2 σ level, the radius must satisfy R < 11.6 km, ruling out equations of state with more moderate stiffness
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