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Table 4:

Type-I X-ray burst-ignition conditionsa.

Model
$\dot m^b$ $Z_{\rm CNO}$ X0c $Q_{\rm b}$ $y_{{\rm ign},9}$ $T_{{\rm ign},8}$ $\langle X\rangle$ $X_{\rm b}$ $Q_{\rm nuc}$ E40 $\Delta t$
  $(\%~\dot m_{\rm Edd})$                   (days)
Pure helium accretiond
1 2.2 0.02 0 0.5 1.8 1.4 0 0 1.6 3.4 6.5
2 2.2 0.02 0 0.3 7.4 1.2 0 0 1.6 14 27
3 2.2 0.02 0 0.7 0.84 1.5 0 0 1.6 1.6 3.1
Accretion hydrogen-rich material
4 2.2 0.02 0.7 0.5 0.13 2.0 0.38 0.07 3.1 0.49 0.48
5 0.69 0.02 0.7 0.5 1.6 1.4 0.01 0 1.64 3.2 19
6 2.2 0.001 0.7 0.1 0.67 1.7 0.62 0.54 4.1 3.3 2.5
7 2.2 0.001 0.7 0.5 0.53 1.8 0.63 0.43 4.1 2.7 2.0
a Models 1, 5, and 6 provide a good match to the observed burst energy of $3.5\times 10^{40}\ {\rm erg}$. In addition, models 1 and 6 have an accretion rate that matches the value inferred from the persistent luminosity; b we define $\dot m_{\rm Edd}=1.8\times 10^5\ {\rm
g\ cm^{-2}\ s^{-1}}$, the local accretion rate onto a $1.4\ M_\odot$, $R=11.2\ {\rm km}$ neutron star, which infers an accretion luminosity equal to the empirically-derived Eddington luminosity $3.8\times 10^{38}\ {\rm erg\ s^{-1}}$ from Kuulkers et al. (2003); c the hydrogen mass fractions are: in the accreted material X0, at the base of the layer at ignition $X_{\rm b}$, and the mass-weighted mean value in the layer at ignition $\langle X\rangle$; d note that the ignition conditions for pure helium accretion do not depend on the choice of $Z_{\rm CNO}$.

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