Probing millisecond magnetar formation in binary neutron star mergers through X-ray follow-up of gravitational wave alerts

Open Access

Table 2.

Detection rate of GW events with a localization accuracy ≤50 deg² (first column) and of the millisecond magnetar (i.e., GW + EM) depending on the GW detector configuration.

	GW detection rate (yr⁻¹)	Low M_TOV rate (yr⁻¹)	High M_TOV rate (yr⁻¹)
O4	1.7 $_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ ^{+0.01}_{-0.01} $$	0.01 $_{- 0.01}^{+ 0.03}$ $Mathematical equation: $ ^{+0.03}_{-0.01} $$	0.15 $_{- 0.04}^{+ 0.04}$ $Mathematical equation: $ ^{+0.04}_{-0.04} $$

O5	13.53 $_{- 0.94}^{+ 0.95}$ $Mathematical equation: $ ^{+0.95}_{-0.94} $$	0.01 $_{- 0.01}^{+ 0.04}$ $Mathematical equation: $ ^{+0.04}_{-0.01} $$	0.99 $_{- 0.30}^{+ 0.31}$ $Mathematical equation: $ ^{+0.31}_{-0.30} $$

ET Δ 10 km	42.80 $_{- 5.48}^{+ 5.94}$ $Mathematical equation: $ ^{+5.94}_{-5.48} $$	0.34 $_{- 0.34}^{+ 0.86}$ $Mathematical equation: $ ^{+0.86}_{-0.34} $$	6.85 $_{- 2.74}^{+ 3.26}$ $Mathematical equation: $ ^{+3.26}_{-2.74} $$
ET Δ 10 km + 1 CE 40 km	21769.28 $_{- 131.96}^{+ 146.72}$ $Mathematical equation: $ ^{+146.72}_{-131.96} $$	64.58 $_{- 6.92}^{+ 7.83}$ $Mathematical equation: $ ^{+7.83}_{-6.92} $$	751.66 $_{- 24.66}^{+ 24.91}$ $Mathematical equation: $ ^{+24.91}_{-24.66} $$

Notes. These results were obtained assuming a 10¹⁵ G magnetar, and showing the prediction for the lowest M_TOV EoS (Shen, M_TOV = 2.18 M_⊙; second column) and our highest M_TOV EoS (DDME2, M_TOV = 2.48 M_⊙; third column). The statistical uncertainties were obtained using the bootstrap method.

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