Fig. 5.
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Mass-radius relations for NSs with a purely hadronic core (dashed blue line), hybrid stars without DM (dash-dotted red line), and hybrid stars including DM for different S particle masses (solid colored lines). The colored regions represent observational constraints for comparison. The 1-σ M-R constraint from the NICER analysis of PSR J0740+6620 is shown in turquoise (Dittmann et al. 2024b). The updated 95% and 68% credible NICER results for PSR J0030+0451 are displayed as nested light and dark cyan regions (Vinciguerra et al. 2023). The hatched magenta and green regions show the high-mass BW pulsar PSR J0952-0607 (Romani et al. 2022) and PSR J0348+0432 (Antoniadis et al. 2013), respectively. The credible intervals for HESS J1731-347 are shown as nested green regions, representing the 68% (inner) and 90% (outer) levels based on X-ray spectral modeling (Doroshenko et al. 2023). The M-R constraints for PSR J0437-4715 are represented by overlapping dark and light blue regions, corresponding to the 68% (inner) and 90% (outer) credible intervals (Choudhury et al. 2024a). The nested light and dark maroon regions show the most recent NICER analysis for the mass and radius of PSR J0614-3329, 95% and 68% credible results, respectively (Mauviard et al. 2025a). The zoomed-in region (a) highlights that all RIC EOSs including S DM pass through the 95% credible region of PSR J0614–3329, whereas the RIC_DD2Y-T and DD2Y-T curves do not satisfy this constraint. The zoomed-in region (b) illustrates that for S masses larger than 1930 MeV, the NS radius lies outside the 68% credible region for PSR J0437–4715.
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