A NuSTAR observation of the reflection spectrum of the low mass X-ray binary 4U 1728-34

We report on a simultaneous NuSTAR and Swift observation of the neutron star low-mass X-ray binary 4U 1728-34. We identified and removed four Type I X-ray bursts during the observation in order to study the persistent emission. The continuum spectrum is hard and well described by a black body with $kT=$ 1.5 keV and a cutoff power law with $Gamma=$ 1.5 and a cutoff temperature of 25 keV. Residuals between 6 and 8 keV provide strong evidence of a broad Fe K$alpha$ line. By modeling the spectrum with a relativistically blurred reflection model, we find an upper limit for the inner disk radius of $R_{rm in}leq2 R_{rm ISCO}$. Consequently we find that $R_{rm NS}leq23$ km, assuming $M=1.4{mbox{$rm,M_{mathordodot}$}}$ and $a=0.15$. We also find an upper limit on the magnetic field of $Bleq2times10^8$ G.