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Table 7

Input and output parameters for the MC simulations used to finally estimate the mass of the NSs hosted in the ten HMXBs.

Input Output


Source Kx Kopt q Ω i Mns Mopt Ropt RL/a a


km s-1 km s-1 deg M M R R

LMC X-4 407.8(3) 35(2)a 0.086(4) 0.97(13)a 59.3(9) 1.57(11) 18(1) 7.4(4) 0.59(1) 14.2(2)j
Cen X-3 414.317(9) 28(2)a 0.066(5) 0.75(13)a 65(1) 1.57(16) 24(1) 11.4(7) 0.63(1) 20.2(4)
4U 1700-377* 435(10) 19(1)b 0.043(2) 0.47(4)cc 62(1) 1.96(19) 46(5) 22(2) 0.694(6) 35(1)
4U 1538-522 316(10) 20(3)c 0.06(1) 0.91(20)k 67(1) 1.02(17) 16(2) 13(1) 0.53(3) 22(1)j
SMC X-1 299.631(5) 20(1)a 0.067(4) 0.91(20)a 62(2) 1.21(12) 18(2) 15(1) 0.61(2) 27.9(7)j
SAX J1802.7-2017 324(5) 24(3)d 0.07(1) 0.91(20)m 72(2) 1.57(25) 22(2) 18(1) 0.61(2) 33(1)
XTE J18f55-026 289(5) 20(3)l 0.07(1) 0.91(20)m 71(2) 1.41(24) 21(2) 22(2) 0.63(3) 40(1)j
Vela X-1 278.1(3) 23(2)e 0.081(5) 0.67(4)hi 72.8(4) 2.12(16) 26(1) 29(1) 0.595(6) 59.6(7)j
EXO 1722-363 226(2) 25(5)f 0.11(2) 0.91(20)m 68(2) 1.91(45) 18(2) 26(2) 0.58(3) 52(2)
OAO 1657-415 222.60(6) 21(4)g 0.09(1) 0.91(20)m 67.9(9) 1.74(30) 17.5(8) 25(2) 0.52(2) 53.1(8)j

Notes. We indicate in brackets the uncertainties at 1σ c.l. on the last digits of each reported value.

(cc)

vrotsin i = 150(10) km s-1 (Clark et al., 2002);

(j)

evaluated at periastron;

(k)

we used the same Ω as for SMC X-1 since the values of vrotsin i for these systems are compatible to within the uncertainties (see also Rawls et al. 2011);

(l)

we assumed a value of Kopt derived from the average of the other systems in this table with properties close to XTE J1855-026;

(m)

we assume a conservative Ω value to be close to the Roche lobe radius;

(*)

we treat 4U 1700-377 differently, since the project semi-major axis, axsini, is unknown; see Sect. 5.1.

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