Constraining neutron star matter from the slope of the mass-radius curves (2025)

Physical Review D

covering particles, fields, gravitation, and cosmology
  • Highlights
  • Recent
  • Accepted
  • Collections
  • Authors
  • Referees
  • Search
  • Press
  • About
  • Editorial Team

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
  • Article
  • References
  • No Citing Articles

PDFHTMLExport Citation

Constraining neutron star matter from the slope of the mass-radius curves (1)

Abstract
Authors
Article Text
  • INTRODUCTION
  • DATASET
  • RESULTS
  • CONCLUSIONS
  • ACKNOWLEDGMENTS
  • APPENDICES
  • References

    Constraining neutron star matter from the slope of the mass-radius curves (2)

    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 M(R) 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 M(R) curve with a negative slope at 1.4M predicts a 2M neutron star radius below 12km. Furthermore, a maximum mass below 2.3M is obtained if the M(R) slope is negative in the whole range of masses above 1M, and a maximum mass above 2.4M requires the M(R) 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.

    • Constraining neutron star matter from the slope of the mass-radius curves (3)
    • Constraining neutron star matter from the slope of the mass-radius curves (4)
    • Constraining neutron star matter from the slope of the mass-radius curves (5)
    • Constraining neutron star matter from the slope of the mass-radius curves (6)
    • Constraining neutron star matter from the slope of the mass-radius curves (7)
    • Constraining neutron star matter from the slope of the mass-radius curves (8)
    • Constraining neutron star matter from the slope of the mass-radius curves (9)

    4 More

    • 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)

    Gravitation, Cosmology & Astrophysics

    Authors & Affiliations

    Márcio Ferreira* and Constança Providência

    • *Contact author: marcio.ferreira@uc.pt
    • Contact author: cp@uc.pt

    Article Text (Subscription Required)

    Click to Expand

    References (Subscription Required)

    Click to Expand

    Issue

    Vol. 110, Iss. 6 — 15 September 2024

    Constraining neutron star matter from the slope of the mass-radius curves (10)
    Reuse & Permissions
    Access Options
    Constraining neutron star matter from the slope of the mass-radius curves (13)

    Authorization Required

    Other Options
    • Buy Article »
    • Find an Institution with the Article »

    ×

    Download & Share

    PDFExportReuse & Permissions

    ×

    Images

    • Constraining neutron star matter from the slope of the mass-radius curves (14)

      Figure 1

      M(R) sequences for nuclear models discussed in the Introduction.

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (15)

      Figure 2

      Sequences M(R) (left) and M(Λ) (right) for the set of EOSs satisfying dM/dR<0 (top) and dM/dR0 (bottom) with (dark) and without (light) astrophysical constraints (see text for details). Maximum masses vary between 2.01Mmax/M2.20 at a 90% CI for dM/dR<0 even if astrophysical constraints are imposed, and 2.01Mmax/M2.43 (2.01Mmax/M2.60) for dM/dR0, imposing (not imposing) astrophysical constraints. The boundaries of the different regions specify the extremes (minimum/maximum).

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (16)

      Figure 3

      Pressure as a function of baryon density for the set dM/dR<0 (blue) and dM/dR0 (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).

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (17)

      Figure 4

      Speed of sound squared as a function of baryon density for the set dM/dR<0 (blue) and dM/dR0 (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 (nmax) at the Mmax.

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (18)

      Figure 5

      The normalized matter trace anomaly as a function of baryon density for the set dM/dR<0 (blue) and dM/dR0 (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 (nmax) at the Mmax.

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (19)

      Figure 6

      The probability distribution functions for the normalized matter trace anomaly (top) and speed of sound squared (bottom) at the central densities of Mmax. We display the sets dM/dR<0 (blue) and dM/dR0 (red) with (dark) and without (light) astrophysical constraints. The 50% CIs for Δ(nmax) are 0.070+0.0530.051 (dM/dR<0, without restrictions), 0.057+0.0490.052 (dM/dR<0, with restrictions), 0.032+0.0730.081 (dM/dR0, without restrictions), and 0.008+0.0660.073 (dM/dR0, with restrictions).

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (20)

      Figure 7

      Same plots as in Fig.2, but showing explicitly the M(R) sequences for the EOS with positive Δ(n) for 0<n<1.2fm3.

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (21)

      Figure 8

      Scatter plot of dM/dR|M=1.4M vs R(2.0M) (top) and the respective R(2.0M) PDF (bottom). The colors indicate the dM/dR|M=1.4M value: negative (blue), positive but finite (red), and (black), both with (dark colors) and without (light colors) astrophysical constraints.

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (22)

      Figure 9

      Scatter plot of dM/dR|M=1.4M vs {Mmax,Rmax} (top panels) and the respective {Mmax,Rmax} PDFs (bottom panels). The colors indicate the dM/dR|M=1.4M value: negative (blue), positive but finite (red), and (black), both with (dark colors) and without (light colors) astrophysical constraints.

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (23)

      Figure 10

      Scatter plot of dM/dR|M=1.4M vs Λ(1.4M) (top) and the respective Λ(1.4M) PDF (bottom). The colors indicate the dM/dR|M=1.4M value: negative (blue), positive but finite (red), and (black), both with (dark colors) and without (light colors) astrophysical constraints.

      Reuse & Permissions

    • Constraining neutron star matter from the slope of the mass-radius curves (24)

      Figure 11

      The PDFs of the radius of 2.0M (left) and the tidal deformability of a 1.4M (right), with (bottom) and without (top) astrophysical constraints applied for dM/dR|M=1.2M (dark colors) and dM/dR|M=1.8M (light colors) values: negative (blue), positive but finite (red), and (black).

      Reuse & Permissions

    ×

    Constraining neutron star matter from the slope of the mass-radius curves (2025)

    References

    Top Articles
    Latest Posts
    Recommended Articles
    Article information

    Author: Terence Hammes MD

    Last Updated:

    Views: 5799

    Rating: 4.9 / 5 (69 voted)

    Reviews: 92% of readers found this page helpful

    Author information

    Name: Terence Hammes MD

    Birthday: 1992-04-11

    Address: Suite 408 9446 Mercy Mews, West Roxie, CT 04904

    Phone: +50312511349175

    Job: Product Consulting Liaison

    Hobby: Jogging, Motor sports, Nordic skating, Jigsaw puzzles, Bird watching, Nordic skating, Sculpting

    Introduction: My name is Terence Hammes MD, I am a inexpensive, energetic, jolly, faithful, cheerful, proud, rich person who loves writing and wants to share my knowledge and understanding with you.