Estimating the peak energy of Swift gamma-ray bursts using supervised machine learning

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Volume 708 (April 2026)

A&A, 708 (2026) A148

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Table 4.

Properties of BAT GRBs with redshift (extract).

GRB	T₉₀	F_p	S_γ	α	β	z	E_p, z	log E_iso	log L_iso
	(s)	(ph cm⁻² s⁻¹)	(10⁻⁷ erg cm⁻²)				(keV)	(erg)	(erg s⁻¹)
GRB050126	24.80	0.71 ± 0.17	8.38 ± 0.80	−1	−2.25	1.29	$362_{- 94}^{+ 188}$ $Mathematical equation: $ 362 ^{+ 188 }_{- 94 } $$	$51 . 84_{- 0.04}^{+ 0.04}$ $Mathematical equation: $ 51.84 ^{+ 0.04 }_{- 0.04 } $$	$51 . 04_{- 0.10}^{+ 0.10}$ $Mathematical equation: $ 51.04 ^{+ 0.10 }_{- 0.10 } $$
GRB050315	95.60	1.93 ± 0.22	32.20 ± 1.46	−1	−2.25	1.949	$139_{- 15}^{+ 12}$ $Mathematical equation: $ 139 ^{+ 12 }_{- 15 } $$	$52 . 82_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ 52.82 ^{+ 0.02 }_{- 0.02 } $$	$50 . 28_{- 0.05}^{+ 0.05}$ $Mathematical equation: $ 50.28 ^{+ 0.05 }_{- 0.05 } $$
GRB050318	32.00	3.16 ± 0.20	10.80 ± 0.77	−1	−2.25	1.44	$83_{- 12}^{+ 20}$ $Mathematical equation: $ 83 ^{+ 20 }_{- 12 } $$	$52 . 12_{- 0.03}^{+ 0.03}$ $Mathematical equation: $ 52.12 ^{+ 0.03 }_{- 0.03 } $$	$50 . 18_{- 0.03}^{+ 0.03}$ $Mathematical equation: $ 50.18 ^{+ 0.03 }_{- 0.03 } $$
GRB050401	33.30	10.70 ± 0.92	82.20 ± 3.06	−1	−2.25	2.9	$410_{- 43}^{+ 55}$ $Mathematical equation: $ 410 ^{+ 55 }_{- 43 } $$	$53 . 56_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ 53.56 ^{+ 0.02 }_{- 0.02 } $$	$51 . 47_{- 0.04}^{+ 0.04}$ $Mathematical equation: $ 51.47 ^{+ 0.04 }_{- 0.04 } $$
GRB050505	58.90	1.85 ± 0.31	24.90 ± 1.79	−1	−2.25	4.27	$522_{- 69}^{+ 105}$ $Mathematical equation: $ 522 ^{+ 105 }_{- 69 } $$	$53 . 29_{- 0.03}^{+ 0.03}$ $Mathematical equation: $ 53.29 ^{+ 0.03 }_{- 0.03 } $$	$51 . 09_{- 0.07}^{+ 0.07}$ $Mathematical equation: $ 51.09 ^{+ 0.07 }_{- 0.07 } $$
GRB210420B^*	158.80	0.50 ± 0.20	15.00 ± 2.00	−1	−2.25	1.4	467	$52 . 22_{- 0.06}^{+ 0.06}$ $Mathematical equation: $ 52.22 ^{+ 0.06 }_{- 0.06 } $$	$51 . 04_{- 0.17}^{+ 0.17}$ $Mathematical equation: $ 51.04 ^{+ 0.17 }_{- 0.17 } $$
GRB210504A^*	135.06	0.90 ± 0.20	27.00 ± 2.00	−1	−2.25	2.077	545	$52 . 76_{- 0.03}^{+ 0.03}$ $Mathematical equation: $ 52.76 ^{+ 0.03 }_{- 0.03 } $$	$51 . 69_{- 0.10}^{+ 0.10}$ $Mathematical equation: $ 51.69 ^{+ 0.10 }_{- 0.10 } $$
GRB210517A^*	3.06	1.50 ± 0.20	1.50 ± 0.30	−1	−2.25	2.486	334	$51 . 70_{- 0.09}^{+ 0.09}$ $Mathematical equation: $ 51.70 ^{+ 0.09 }_{- 0.09 } $$	$50 . 45_{- 0.06}^{+ 0.06}$ $Mathematical equation: $ 50.45 ^{+ 0.06 }_{- 0.06 } $$
GRB211023B^*	1.30	2.20 ± 0.30	1.70 ± 0.30	−1	−2.25	0.862	133	$50 . 89_{- 0.08}^{+ 0.08}$ $Mathematical equation: $ 50.89 ^{+ 0.08 }_{- 0.08 } $$	$49 . 47_{- 0.06}^{+ 0.06}$ $Mathematical equation: $ 49.47 ^{+ 0.06 }_{- 0.06 } $$
GRB211024B^*	603.50	0.90 ± 0.20	68.00 ± 3.00	−1	−2.25	1.1137	481	$52 . 72_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ 52.72 ^{+ 0.02 }_{- 0.02 } $$	$51 . 10_{- 0.10}^{+ 0.10}$ $Mathematical equation: $ 51.10 ^{+ 0.10 }_{- 0.10 } $$

Notes. Only a portion of this table is shown here for guidance. The full table is available at the CDS. An asterisk (*) denotes GRBs in the generalization set. The columns α and β represent the low-energy and high-energy photon indices, respectively. For BAT GRBs that can only be fitted with a PL model, we adopted α = −1 and β = −2.25 of the Band function to calculate the values of E_iso and L_iso. If the best-fit spectral model is CPL, only the low-energy photon index is listed.

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