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A NICER View of PSR J0030+0451: Implications for the Dense Matter Equation of State

  • Authors: G. Raaijmakers, T. E. Riley, A. L. Watts, S. K. Greif, S. M. Morsink, K. Hebeler, A. Schwenk, T. Hinderer, S. Nissanke, S. Guillot, Z. Arzoumanian, S. Bogdanov, D. Chakrabarty, K. C. Gendreau, W. C. G. Ho, J. M. Lattimer, R. M. Ludlam, and M. T. Wolff

2019 The Astrophysical Journal Letters 887 L22.

  • Provider: AAS Journals

Caption: Figure 3.

The 68% and 95% highest-density credible regions of the PSR J0030+0451 likelihood function (normalized by a flat joint density) are bounded by the blue contours: the ST+PST model is featured in the upper panels, and the ST+CST model is featured in the lower panels. The black contours are identical to those shown in Figure 1, being associated with a population-level prior transformed to mass–radius space; here we show how this prior is updated as a result of our analysis of PSR J0030+0451. To provide context, we are considering the implications for a hypothetical future analysis of data from a different pulsar ﹩{ \mathcal S }﹩ (i.e., not PSR J0030+0451). We assume that the EoS of all matter (core to crust) is shared between ﹩{ \mathcal S }﹩ and PSR J0030+0451; as a joint prior for the EoS of matter in ﹩{ \mathcal S }﹩, we thus invoke the joint posterior distribution of EoS parameters conditional on NICER observations of PSR J0030+0451. We assume the central density of ﹩{ \mathcal S }﹩ is drawn from the same population-level density ﹩p({\varepsilon }_{c}| \mathrm{EoS})﹩ as PSR J0030+0451. We then transform the joint prior of the EoS parameters and central density of ﹩{ \mathcal S }﹩ to the joint space of the mass and radius of ﹩{ \mathcal S };﹩ we render the two-dimensional regions enclosing 68% and 95% of the updated prior mass in green. We note that the updated prior distributions are still mostly dominated by the prior for PSR J0300+0451, with slightly more support for higher radii in the ST+CST model.

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