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Table 3.

Monte Carlo mass–radius constraints for representative fixed blocking factors.

No blocking (ℬ = 0) Intermediate blocking (ℬ = 0.5) Intermediate blocking (ℬ = 0.7) High blocking (ℬ = 0.9)

β sol. β+ sol. β sol. β+ sol. β sol. β+ sol. β sol. β+ sol.
M NS a Mathematical equation: $ M_{\mathrm{NS}}^{a} $ 0.207 ...b 0.405 ...b 0.647 ...b 1.86 2.61
R NS c Mathematical equation: $ R_{\mathrm{NS}}^{c} $ 5.69 ...b 7.85 ...b 10.35 ...b 17.3 11.6
Sol.d 99.9 0.4 97.2 4.4 86.3 11.6 29.6 11.8
Causalitye 0.0 99.5 0.0 92.8 0.0 74.7 0.0 17.8
Unphys.f 0.1 0.1 2.8 2.8 13.7 13.7 70.4 70.4

Notes. a Most probable value of neutron star mass (in solar masses). b Not reported because the solution acceptance fraction is too low to yield a statistically significant estimate. c Most probable value of neutron star radius (in kilometers). d Acceptance fraction in the entire MC sampling, defined for each solution branch as the fraction of realizations that yield a real algebraic solution and satisfy the causality condition. e Fraction in the entire MC sampling that violates the causality condition. f Fraction in the entire MC sampling for which no algebraic solution exists. Each sampled blocking factor is based on 2 × 106 Monte Carlo realizations. A single MC sample can produce two solutions. The β+ solution lies closer to the causality limit (β = 1/2.94) than the β solution.

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