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X-ray spectra of quiescent low-mass X-ray binaries containing neutron starscan be fit with atmosphere models to constrain the mass and the radius.Mass-radius constraints can be used to place limits on the equation of state ofdense matter. We perform fits to the X-ray spectrum of a quiescent neutron starin the globular cluster M13, utilizing data from ROSAT, Chandra and XMM-Newton,and constrain the mass-radius relation. Assuming an atmosphere composed ofhydrogen and a 1.4${\rm M}_{\odot}$ neutron star, we find the radius to be$R_{\rm NS}=12.2^{+1.5}_{-1.1}$ km, a significant improvement in precision overprevious measurements. Incorporating an uncertainty on the distance to M13relaxes the radius constraints slightly and we find $R_{\rmNS}=12.3^{+1.9}_{-1.7}$ km (for a 1.4${\rm M}_{\odot}$ neutron star with ahydrogen atmosphere), which is still an improvement in precision over previousmeasurements, some of which do not consider distance uncertainty. We alsodiscuss how the composition of the atmosphere affects the derived radius,finding that a helium atmosphere implies a significantly larger radius.

The radius of the quiescent neutron star in the globular cluster M13