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We report the discovery of a binary millisecond pulsar (namely PSRJ1641+3627F or M13F) in the globular cluster M13 (NGC 6205) and timingsolutions of M13A to F using observations made with the Five-hundred-metreAperture Spherical radio Telescope (FAST). PSR J1641+3627F has a spin period of3.00 ms and an orbital period of 1.4 days. The most likely companion mass is0.16 M$_{\odot}$. M13A to E all have short spin periods and small periodderivatives. We also confirm that the binary millisecond pulsar PSRJ1641$+$3627E (also M13E) is a black widow with a companion mass around 0.02M$_{\odot}$. We find that all the binary systems have low eccentricitiescompared to those typical for globular cluster pulsars and that they decreasewith distance from the cluster core. This is consistent with what is expectedas this cluster has a very low encounter rate per binary.

Discovery and timing of pulsars in the globular cluster M13 with FAST