Rotational mixing in massive binaries - Detached short-period systems

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Volume 497 / No 1 (April I 2009)

A&A, 497 1 (2009) 243-253

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Table 1:

Key properties of the massive binary evolution models (20 $M_{\hbox {$\odot $ }}$ + 15 $M_{\hbox {$\odot $ }}$ ) as defined and discussed in Sect. 5.1.
$P_{\rm orb}$	$t_{\rm RL}$	$t_{\rm delay}$	$t_{\rm RL} - t_{\rm enh}$	$R/R_{\rm RL}$	X $_{\rm He,~center}$	$\log \epsilon ({\rm N}^{14})$	$^{}{\rm B}_{\rm RL}/^{}{\rm B}_{\rm init}^{a}$	$^{}{\rm C}_{\rm RL}/^{}{\rm C}_{\rm init}^{a}$	$^{}{\rm N}_{\rm RL}/^{}{\rm N}_{\rm init}^{a}$	$\langle \varv_{\rm eq} \rangle^ {b}$	$\varv_{\rm eq,~RL}^{b}$
(d)	(Myr)	(Myr)	(Myr)	( $t=t_{\rm enh}$ )	( $t=t_{\rm RL}$ )	( $t=t_{\rm RL}$ )				(km s^-1)	(km s^-1)
1.1	3.3	1.3	1.0	0.92	0.42	7.12	0.11	0.87	4.17	243	267
1.2	3.9	1.6	1.2	0.90	0.47	7.07	0.08	0.85	3.71	228	260
1.4	5.0	2.1	1.5	0.86	0.55	6.98	0.06	0.82	3.04	203	248
1.6	5.5	2.7	1.0	0.86	0.61	6.89	0.07	0.83	2.45	181	234
1.8	6.0	3.2	0.9	0.86	0.65	6.85	0.07	0.83	2.27	166	228
2.0	6.3	3.7	0.6	0.87	0.69	6.81	0.09	0.86	2.05	152	216
2.2	6.7	4.1	0.5	0.89	0.73	6.79	0.10	0.87	1.96	141	212
2.4	6.9	4.5	0.4	0.90	0.75	6.77	0.11	0.88	1.87	131	207
2.6	7.1	4.9	0.2	0.93	0.78	6.74	0.13	0.90	1.74	123	199
2.8	7.2	5.2	0.1	0.96	0.79	6.73	0.14	0.91	1.69	116	196
3.0	7.3	5.6	0.0	0.99	0.81	6.70	0.15	0.92	1.59	110	190

^a: The surface mass fraction at the onset of Roche-lobe overflow divided by the initial mass fraction of resp. boron (¹⁰B + ¹¹B), carbon (¹²C) and nitrogen (¹⁴N).
^b: The equatorial rotational velocity for the primary star, averaged over time from the onset of hydrogen burning until the start of mass transfer (one before last column) and at the onset of Roche-lobe overflow (last column).

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