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Table 2

Final mass fractions of explosive nucleosynthesis in the outflows associated with GRBs at r = 3rsch for cases A1-3 and B1-3.

Cases (r = 3) A1r = 3 A2r = 3 A3r = 3 B1r = 3 B2r = 3 B3r = 3
T0 [K] 3.58E+10 3.44E+10 3.24E+10 3.23E+10 3.11E+10 2.92E+10
ρ0 [g cm-3] 4.39E+08 3.04E+08 1.71E+08 2.79E+08 1.93E+08 1.09E+08

Prot 6.30E-01 6.47E-01 6.80E-01 6.49E-01 6.62E-01 6.87E-01
Neut 1.06E-30 1.04E-30 1.32E-28 1.10E-30 1.04E-30 1.02E-30
4He 2.69E-01 3.02E-01 3.08E-01 2.70E-01 2.99E-01 3.02E-01
14N 6.23E-09 7.74E-09 1.03E-08 6.99E-09 8.11E-09 5.79E-09
15N 1.86E-09 3.21E-09 8.71E-09 2.69E-09 4.25E-09 5.09E-09
14O 4.82E-07 3.57E-07 1.21E-07 4.25E-07 3.06E-07 1.08E-07
15O 2.88E-07 2.90E-07 2.01E-07 3.27E-07 3.17E-07 2.10E-07
16O 4.93E-08 1.49E-07 2.26E-07 4.16E-08 1.28E-07 1.98E-07
17O 3.49E-09 1.15E-08 3.74E-08 3.90E-09 1.24E-08 2.14E-08
18O 8.02E-11 1.44E-10 2.32E-10 1.06E-10 1.67E-10 8.48E-11
17F 2.45E-07 4.86E-07 4.07E-07 2.16E-07 4.29E-07 3.74E-07
18F 1.09E-06 1.13E-06 3.74E-07 1.13E-06 1.05E-06 2.52E-07
19F 3.17E-11 5.32E-11 1.27E-10 4.46E-11 7.07E-11 8.26E-11
18Ne 1.54E-06 7.87E-07 1.35E-08 1.16E-06 5.36E-07 3.52E-08
19Ne 6.14E-10 6.19E-10 3.44E-10 6.80E-10 6.60E-10 3.87E-10
20Ne 1.64E-11 2.83E-11 1.32E-11 1.24E-11 2.14E-11 1.01E-11
21Ne 5.51E-11 4.27E-11 1.34E-12 5.15E-11 3.05E-11 1.83E-13
21Na 1.55E-09 6.79E-10 4.83E-12 1.11E-09 3.88E-10 1.13E-12
22Na 1.58E-06 1.79E-06 1.21E-06 1.75E-06 1.78E-06 7.38E-07
22Mg 6.32E-06 3.93E-06 3.84E-07 5.32E-06 3.06E-06 5.31E-07
23Mg 1.36E-07 1.50E-07 1.32E-07 1.63E-07 1.61E-07 1.38E-07
24Mg 4.85E-08 3.81E-08 4.68E-08 4.56E-08 4.04E-08 4.17E-08
25Mg 6.60E-08 7.22E-08 8.38E-08 7.97E-08 7.95E-08 5.44E-08
23Al 2.86E-10 4.84E-11 1.75E-15 1.49E-10 1.77E-11 8.20E-14
24Al 9.69E-08 3.68E-08 3.34E-09 6.44E-08 2.91E-08 9.59E-09
25Al 5.73E-07 3.48E-07 7.06E-08 5.34E-07 2.97E-07 8.46E-08
26Al 1.52E-08 2.00E-08 3.29E-08 2.14E-08 2.52E-08 2.95E-08
27Al 7.05E-09 1.09E-08 2.94E-08 1.10E-08 1.51E-08 2.46E-08
24Si 7.66E-12 3.66E-15 2.40E-29 3.34E-13 4.80E-17 2.40E-29
25Si 8.08E-09 3.07E-10 2.08E-18 2.34E-09 5.45E-11 2.81E-15
26Si 2.96E-08 2.01E-08 2.66E-09 3.06E-08 1.90E-08 6.80E-09
27Si 3.65E-08 2.88E-08 1.01E-08 4.17E-08 3.03E-08 1.77E-08
28Si 7.03E-06 2.93E-06 8.69E-08 4.32E-06 1.46E-06 7.14E-08
29Si 2.45E-06 2.53E-06 2.66E-07 2.66E-06 2.06E-06 8.55E-08
30Si 1.77E-07 3.12E-07 5.23E-07 2.40E-07 3.72E-07 2.18E-07
27P 1.03E-09 8.43E-11 5.62E-18 4.57E-10 2.42E-11 1.01E-14
28P 3.65E-07 1.45E-08 3.25E-17 8.31E-08 1.88E-09 3.03E-14
29P 1.24E-05 6.34E-06 9.01E-08 9.38E-06 3.94E-06 6.04E-08
30P 4.61E-05 4.82E-05 1.61E-05 5.00E-05 4.50E-05 1.11E-05
31P 8.33E-07 1.23E-06 1.80E-06 1.12E-06 1.52E-06 1.42E-06
28S 2.95E-09 7.99E-12 2.80E-29 2.21E-10 2.20E-13 2.80E-29
29S 8.26E-08 1.77E-09 6.11E-19 1.68E-08 1.77E-10 5.69E-17
30S 3.68E-05 1.70E-05 1.07E-07 2.74E-05 1.08E-05 4.14E-07
31S 1.91E-06 1.48E-06 2.02E-07 1.91E-06 1.37E-06 4.01E-07
32S 3.33E-06 1.75E-06 1.00E-06 2.65E-06 1.59E-06 9.40E-07
33S 3.85E-06 4.29E-06 2.63E-06 4.58E-06 4.49E-06 1.75E-06
34S 2.82E-05 3.82E-05 2.14E-05 3.50E-05 3.94E-05 1.41E-05
31Cl 9.80E-10 9.94E-12 6.79E-21 1.69E-10 8.21E-13 3.10E-29
32Cl 1.63E-07 8.85E-09 1.82E-15 4.97E-08 2.24E-09 1.29E-12
33Cl 9.88E-06 5.47E-06 2.78E-07 8.44E-06 4.21E-06 4.65E-07
34Cl 6.46E-05 4.23E-05 9.42E-07 5.71E-05 3.11E-05 2.37E-06
35Cl 1.98E-06 2.73E-06 3.35E-06 2.59E-06 3.25E-06 3.00E-06
32Ar 8.60E-11 3.30E-14 3.20E-29 3.46E-12 4.04E-16 3.20E-29
33Ar 4.19E-08 7.70E-10 8.18E-19 8.59E-09 8.10E-11 3.30E-29
34Ar 4.11E-05 1.41E-05 1.84E-08 2.74E-05 7.58E-06 1.44E-07
35Ar 2.64E-06 1.84E-06 1.16E-07 2.53E-06 1.58E-06 3.41E-07
36Ar 3.41E-06 3.18E-06 2.47E-06 3.70E-06 3.37E-06 2.44E-06
37Ar 1.09E-05 1.34E-05 5.73E-06 1.39E-05 1.34E-05 4.33E-06
38Ar 2.90E-07 3.54E-07 2.57E-07 3.31E-07 3.52E-07 1.19E-07
36K 1.99E-07 2.69E-08 4.50E-14 9.46E-08 9.52E-09 1.39E-11
37K 1.15E-05 5.82E-06 4.48E-08 9.62E-06 3.87E-06 1.71E-07
38K 1.86E-04 1.30E-04 2.06E-05 1.66E-04 1.01E-04 1.46E-05
39K 5.61E-05 7.44E-05 4.53E-05 6.77E-05 7.86E-05 3.73E-05
36Ca 2.06E-11 8.45E-15 3.60E-29 8.37E-13 1.01E-16 3.60E-29
37Ca 8.62E-08 2.03E-09 2.17E-18 1.91E-08 2.29E-10 1.06E-16
38Ca 2.18E-05 3.18E-06 1.90E-11 9.67E-06 1.04E-06 1.13E-09
39Ca 2.52E-05 1.28E-05 3.57E-08 1.96E-05 8.21E-06 2.86E-07
40Ca 1.13E-05 1.40E-05 1.74E-05 1.46E-05 1.66E-05 1.87E-05
41Ca 1.22E-05 7.27E-06 7.72E-07 1.25E-05 5.51E-06 6.56E-07
42Ca 1.14E-04 8.01E-05 6.82E-06 1.02E-04 5.72E-05 4.12E-06
43Ca 1.04E-09 1.61E-09 2.04E-09 1.41E-09 1.84E-09 1.08E-09
40Sc 2.30E-08 5.90E-10 1.00E-18 5.70E-09 7.60E-11 7.95E-17
41Sc 3.52E-06 5.33E-07 2.49E-11 1.82E-06 2.05E-07 5.31E-10
42Sc 5.16E-05 1.11E-05 1.07E-09 2.68E-05 4.27E-06 1.11E-08
43Sc 2.03E-05 1.84E-05 5.03E-06 2.19E-05 1.63E-05 4.01E-06
45Sc 2.82E-09 3.36E-09 2.25E-09 3.14E-09 3.17E-09 1.14E-09
41Ti 4.02E-11 6.00E-15 4.10E-29 1.07E-12 8.31E-17 4.10E-29
42Ti 9.93E-07 2.07E-08 7.49E-18 1.89E-07 2.06E-09 1.80E-15
43Ti 3.28E-06 7.13E-07 2.53E-11 1.83E-06 2.94E-07 8.84E-10
44Ti 8.50E-06 6.91E-06 2.31E-06 8.56E-06 6.25E-06 2.00E-06
45Ti 4.73E-05 3.12E-05 4.37E-06 3.99E-05 2.27E-05 3.33E-06
46Ti 2.99E-04 2.33E-04 3.26E-05 2.85E-04 1.85E-04 2.01E-05
47Ti 8.95E-09 1.65E-08 3.45E-08 1.36E-08 2.15E-08 1.87E-08
44V 7.35E-10 1.71E-12 4.40E-29 6.07E-11 4.86E-14 4.40E-29
45V 9.20E-06 1.59E-06 4.77E-11 4.25E-06 5.52E-07 1.19E-09
46V 6.34E-05 1.05E-05 2.90E-11 3.08E-05 3.34E-06 1.61E-09
47V 2.38E-05 2.54E-05 1.16E-05 2.85E-05 2.57E-05 9.31E-06
48V 3.79E-10 5.07E-10 1.02E-09 4.77E-10 6.33E-10 6.37E-10
49V 2.17E-08 2.88E-08 3.07E-08 2.58E-08 3.05E-08 1.54E-08
46Cr 6.52E-06 3.55E-07 1.35E-15 1.94E-06 6.15E-08 9.45E-13
47Cr 3.39E-06 8.59E-07 3.64E-11 2.13E-06 3.89E-07 1.28E-09
48Cr 3.07E-05 2.46E-05 1.22E-05 3.05E-05 2.43E-05 1.03E-05
49Cr 7.65E-05 5.59E-05 1.31E-05 6.84E-05 4.57E-05 9.58E-06
50Cr 8.21E-05 5.62E-05 1.65E-05 7.93E-05 5.01E-05 1.23E-05
51Cr 1.35E-09 2.79E-09 1.51E-08 2.41E-09 4.40E-09 1.04E-08
47Mn 3.24E-11 2.56E-14 4.70E-29 1.77E-12 4.59E-16 4.70E-29
48Mn 4.03E-08 4.55E-10 1.22E-19 6.19E-09 3.66E-11 4.80E-29
49Mn 6.02E-06 7.29E-07 8.33E-13 2.45E-06 2.08E-07 8.29E-11
50Mn 4.51E-06 2.92E-07 6.43E-15 1.57E-06 6.31E-08 3.28E-12
51Mn 4.53E-06 5.35E-06 6.82E-06 6.22E-06 6.62E-06 6.79E-06
52Mn 2.20E-09 1.81E-09 2.07E-09 1.98E-09 1.59E-09 1.50E-09
53Mn 2.84E-07 2.65E-07 1.13E-07 2.78E-07 2.21E-07 5.84E-08
49Fe 1.73E-11 1.46E-15 4.90E-29 2.50E-13 4.22E-17 4.90E-29
50Fe 1.05E-07 9.02E-10 9.51E-20 1.49E-08 6.01E-11 5.00E-29
51Fe 1.38E-07 1.76E-08 4.82E-15 7.11E-08 5.82E-09 2.07E-12
52Fe 6.74E-05 3.32E-05 9.61E-06 4.75E-05 2.32E-05 9.70E-06
53Fe 1.62E-04 9.11E-05 9.22E-06 1.28E-04 5.95E-05 6.83E-06
54Fe 5.16E-04 3.52E-04 3.76E-05 4.61E-04 2.71E-04 2.20E-05
55Fe 7.21E-09 1.08E-08 1.18E-08 9.70E-09 1.26E-08 5.58E-09
51Co 6.75E-05 5.90E-05 3.52E-05 7.49E-05 5.99E-05 3.18E-05
52Co 7.29E-09 9.73E-12 5.20E-29 3.87E-10 1.88E-13 5.20E-29
53Co 2.27E-06 7.09E-08 4.43E-17 4.87E-07 8.46E-09 3.29E-14
54Co 6.25E-06 1.43E-07 2.45E-17 1.28E-06 1.37E-08 2.60E-15
55Co 4.96E-04 4.34E-04 1.18E-04 5.16E-04 4.04E-04 7.90E-05
56Co 1.60E-07 1.40E-07 1.23E-07 1.66E-07 1.41E-07 7.49E-08
57Co 3.46E-08 2.39E-08 1.45E-08 3.69E-08 2.44E-08 8.72E-09
51Ni 4.89E-06 1.51E-06 5.42E-08 3.83E-06 1.08E-06 2.87E-08
54Ni 2.58E-07 1.57E-09 1.27E-20 2.93E-08 7.02E-11 5.40E-29
55Ni 2.32E-06 7.32E-08 3.61E-17 5.63E-07 9.15E-09 7.78E-15
56Ni 7.69E-02 4.17E-02 9.97E-03 6.31E-02 3.43E-02 8.51E-03
57Ni 4.81E-03 1.98E-03 2.98E-04 4.02E-03 1.60E-03 2.57E-04
58Ni 1.64E-03 5.79E-04 4.22E-05 1.40E-03 4.40E-04 2.56E-05
59Ni 5.63E-05 3.28E-05 8.84E-06 6.44E-05 3.28E-05 4.19E-06
60Ni 8.52E-09 1.15E-08 6.25E-08 1.27E-08 1.64E-08 3.20E-08
57Cu 1.99E-05 2.72E-07 1.00E-16 3.72E-06 2.87E-08 2.28E-14
58Cu 4.42E-03 8.31E-04 6.52E-06 2.76E-03 4.74E-04 8.01E-06
59Cu 4.80E-03 1.65E-03 1.09E-04 4.27E-03 1.31E-03 7.32E-05
60Cu 2.20E-05 1.84E-05 2.70E-05 2.59E-05 2.13E-05 1.93E-05
61Cu 4.68E-09 5.63E-09 2.57E-08 7.06E-09 8.34E-09 2.35E-08
62Cu 3.78E-12 4.73E-12 2.29E-11 5.80E-12 7.07E-12 2.06E-11
63Cu 8.00E-12 1.29E-11 1.08E-10 1.24E-11 1.94E-11 6.18E-11
58Zn 1.62E-08 1.47E-12 5.80E-29 3.55E-10 1.11E-14 5.80E-29
59Zn 1.03E-05 9.26E-08 5.16E-18 1.94E-06 7.62E-09 1.40E-16
60Zn 2.67E-03 1.47E-03 5.79E-04 2.64E-03 1.38E-03 5.79E-04
61Zn 3.79E-07 2.82E-07 3.41E-07 4.52E-07 3.39E-07 4.40E-07
62Zn 1.27E-07 9.45E-08 1.19E-07 1.50E-07 1.13E-07 1.50E-07
63Zn 3.56E-08 3.46E-08 7.45E-08 4.30E-08 4.17E-08 5.97E-08
64Zn 5.79E-10 5.18E-10 4.28E-09 6.87E-10 6.58E-10 3.14E-09
62Ga 9.78E-12 2.23E-14 6.20E-29 9.38E-13 7.91E-16 6.20E-29
63Ga 1.02E-06 6.41E-07 3.36E-07 1.03E-06 6.17E-07 3.86E-07
64Ga 1.64E-07 9.06E-08 2.00E-07 1.53E-07 9.33E-08 2.05E-07
65Ga 9.02E-11 7.05E-11 4.80E-10 1.07E-10 9.27E-11 6.32E-10
62Ge 3.12E-07 7.67E-08 8.26E-09 2.33E-07 6.04E-08 7.28E-09
63Ge 8.61E-12 3.91E-15 6.30E-29 3.52E-13 5.11E-17 6.30E-29
64Ge 9.20E-06 3.20E-06 1.88E-06 6.89E-06 2.67E-06 2.68E-06
65Ge 2.51E-09 1.20E-09 2.04E-09 2.34E-09 1.27E-09 3.85E-09
66Ge 1.12E-09 5.56E-10 1.15E-09 1.07E-09 6.02E-10 2.09E-09
67Ge 2.13E-10 1.12E-10 2.48E-10 1.93E-10 1.09E-10 2.81E-10
67As 8.40E-09 2.68E-09 1.49E-09 5.93E-09 2.08E-09 2.40E-09
68As 1.81E-09 9.65E-10 1.71E-09 1.72E-09 9.69E-10 2.14E-09
68Se 5.52E-08 1.87E-08 8.55E-09 4.25E-08 1.52E-08 1.51E-08
69Se 3.66E-11 1.72E-11 2.35E-11 3.48E-11 1.78E-11 5.41E-11
70Se 8.73E-12 4.10E-12 6.11E-12 8.38E-12 4.28E-12 1.30E-11
71Br 1.16E-10 3.93E-11 1.46E-11 8.80E-11 3.13E-11 2.76E-11
72Br 1.29E-11 7.38E-12 2.12E-11 1.33E-11 8.39E-12 3.01E-11
70Kr 4.51E-11 6.86E-12 6.23E-13 2.96E-11 4.83E-12 8.56E-13
72Kr 1.93E-10 6.75E-11 4.71E-11 1.55E-10 6.17E-11 9.61E-11

Notes. For 1 M total matter ejected from outflows, the values of mass fractions listed here are also the values for these nuclides’ ejected mass. The radioactive decay reactions are considered within the dynamic process [ t0,tf) but not including the final step (tf), which can prevent some decayed species listed here from precipitously dropping to zero in the final step tf.

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