Steiner, Andrew W., Heinke, Craig O., Bogdanov, Slavko, Li, Cheng K., Ho, Wynn C.G., Bahramian, Arash and Han, Sophia
(2018)
Constraining the mass and radius of neutron stars in globular clusters.
*Monthly Notices of the Royal Astronomical Society*, 476 (1), 421-435.
(doi:10.1093/mnras/sty215).

## Abstract

We analyze observations of eight quiescent low-mass X-ray binaries in globular clusters and combine them to determine the neutron star mass-radius curve and the equation of state of dense matter. We determine the effect that several uncertainties may have on our results, including uncertainties in the distance, the atmosphere composition, the neutron star maximum mass, the neutron star mass distribution, the possible presence of a hotspot on the neutron star surface, and the prior choice for the equation of state of dense matter. The distance uncertainty is implemented in a new Gaussian blurring method which can be directly applied to the probability distribution over mass and radius.We find that the radius of a 1.4 solar mass neutron star is most likely from 10 to 14 km and that tighter constraints are only possible with stronger assumptions about the nature of the neutron stars, the systematics of the observations, or the nature of dense matter. Strong phase transitions in the equation of state are preferred, and in this case, the radius is likely smaller than 12 km. However, radii larger than 12 km are preferred if the neutron stars have uneven temperature distributions.

**Comb_MR - Accepted Manuscript**

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- Faculties (pre 2018 reorg) > Faculty of Physical Sciences and Engineering (pre 2018 reorg) > Physics & Astronomy (pre 2018 reorg) > Astronomy Group (pre 2018 reorg)

Current Faculties > Faculty of Engineering and Physical Sciences > School of Physics and Astronomy > Physics & Astronomy (pre 2018 reorg) > Astronomy Group (pre 2018 reorg)

School of Physics and Astronomy > Physics & Astronomy (pre 2018 reorg) > Astronomy Group (pre 2018 reorg) - Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences

School of Mathematical Sciences - Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg)

Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg)

School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg)

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