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Constraining neutron star matter from the slope of the mass-radius curves
Márcio Ferreira and Constança Providência
Phys. Rev. D 110, 063018 – Published 10 September 2024
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Abstract
We analyze the implications of information about local derivatives from the mass-radius diagram in neutron star matter. It is expected that the next generation of gravitational wave and electromagnetic detectors will allow the determination of the neutron star radius and mass with a small uncertainty. Observations of neutron stars clustered around a given neutron star mass allow the estimation of local derivatives in the diagram, which can be used to constrain neutron star properties. From a model-independent description of the neutron star equation of state, it is shown that a curve with a negative slope at predicts a neutron star radius below 12km. Furthermore, a maximum mass below is obtained if the slope is negative in the whole range of masses above , and a maximum mass above requires the slope to be positive in some range of masses. Constraints on the mass-radius curve of neutron stars will place strong constraints on microscopic models.
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- Received 18 June 2024
- Accepted 14 August 2024
DOI:https://doi.org/10.1103/PhysRevD.110.063018
© 2024 American Physical Society
Physics Subject Headings (PhySH)
- Research Areas
Nuclear matter in neutron stars
Gravitation, Cosmology & Astrophysics
Authors & Affiliations
Márcio Ferreira* and Constança Providência†
- CFisUC, Department of Physics, University of Coimbra, P-3004–516 Coimbra, Portugal
- *Contact author: marcio.ferreira@uc.pt
- †Contact author: cp@uc.pt
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Issue
Vol. 110, Iss. 6 — 15 September 2024
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Images
Figure 2
Sequences (left) and (right) for the set of EOSs satisfying (top) and (bottom) with (dark) and without (light) astrophysical constraints (see text for details). Maximum masses vary between at a 90% CI for even if astrophysical constraints are imposed, and () for , imposing (not imposing) astrophysical constraints. The boundaries of the different regions specify the extremes (minimum/maximum).
Figure 3
Pressure as a function of baryon density for the set (blue) and (red) with (bottom) and without (top) astrophysical constraints. The darker bands represent 90% credible intervals (CI), while the lighter bands show the extremes (minimum/maximum).
Figure 4
Speed of sound squared as a function of baryon density for the set (blue) and (red) with (bottom) and without (top) astrophysical constraints. The lighter bands represent the 90% CI, the darker bands the 50% CI, and the solid lines the median. The vertical bands specify the 65% CI for the central densities () at the .
Figure 5
The normalized matter trace anomaly as a function of baryon density for the set (blue) and (red) with (bottom) and without (top) astrophysical constraints. The lighter bands represent the 90% CI, the darker bands the 50% CI, and the solid lines the median. The vertical bands specify the 65% CI for the central densities () at the .
Figure 6
The probability distribution functions for the normalized matter trace anomaly (top) and speed of sound squared (bottom) at the central densities of . We display the sets (blue) and (red) with (dark) and without (light) astrophysical constraints. The 50% CIs for are (, without restrictions), (, with restrictions), (, without restrictions), and (, with restrictions).
Figure 7
Same plots as in Fig.2, but showing explicitly the sequences for the EOS with positive for .
Figure 8
Scatter plot of vs (top) and the respective PDF (bottom). The colors indicate the value: negative (blue), positive but finite (red), and (black), both with (dark colors) and without (light colors) astrophysical constraints.
Figure 9
Scatter plot of vs (top panels) and the respective PDFs (bottom panels). The colors indicate the value: negative (blue), positive but finite (red), and (black), both with (dark colors) and without (light colors) astrophysical constraints.
Figure 10
Scatter plot of vs (top) and the respective PDF (bottom). The colors indicate the value: negative (blue), positive but finite (red), and (black), both with (dark colors) and without (light colors) astrophysical constraints.
Figure 11
The PDFs of the radius of (left) and the tidal deformability of a (right), with (bottom) and without (top) astrophysical constraints applied for (dark colors) and (light colors) values: negative (blue), positive but finite (red), and (black).