Table 1.

Key physical quantities.

ZAbsolute metallicity (mass fraction of metals)
M1Initial primary mass
M2Initial secondary mass
aOrbital separation (semimajor axis)
eOrbital eccentricity
PorbOrbital period
PsSpin period of the NS
MXCompact object (NS/BH) mass
MMass of the donor star
REquatorial radius of the donor star
vKepEquatorial Keplerian velocity of the donor star
vrotEquatorial rotation velocity of the donor star
Wvrot/vKep with the initial value denoted by W0
RL1Roche lobe size of the donor star at periastron (equation 6)
Rtruncftrunca, average tidal truncation radius (equation 7)
RcritVDD boundary beyond which gas flows are subsonic (equation 8)
csSound speed in the ionised isothermal VDD
Σ0Base surface density of the VDD
αViscosity parameter of the VDD
|$\dot{M}_{\rm ej}$|Mass ejection rate of the O/B star
|$\dot{M}_{\rm acc}$|Peak/outburst accretion rate in the Be-XRB
LbolBolometric luminosity during outbursts
ϵRadiative efficiency
|$\dot{M}_{\rm Edd}$|Eddington limit of accretion rate (equation 15)
η|$\equiv \dot{M}_{\rm acc}/\dot{M}_{\rm Edd}$|⁠, Eddington ratio during outbursts
fdutyEffective fraction of time the Be-XRB spends in outbursts
LXOutburst X-ray luminosity for a certain band
ψXCalibration parameter for the observed LXPorb relation
fcorrCorrection factor for outburst luminosity (Section 3.2)
τLifetime of the Be-XRB
MtotTotal stellar mass underlying the Be-XRB population
|$\mathcal {N}_{\rm X}$|Number of Be-XRBs in the outburst phase per unit SFR
|$\mathcal {L}_{\nu }$|Specific X-ray luminosity per unit SFR
|$\mathcal {L}_{\rm X}$|X-ray luminosity per unit SFR for a certain band
ZAbsolute metallicity (mass fraction of metals)
M1Initial primary mass
M2Initial secondary mass
aOrbital separation (semimajor axis)
eOrbital eccentricity
PorbOrbital period
PsSpin period of the NS
MXCompact object (NS/BH) mass
MMass of the donor star
REquatorial radius of the donor star
vKepEquatorial Keplerian velocity of the donor star
vrotEquatorial rotation velocity of the donor star
Wvrot/vKep with the initial value denoted by W0
RL1Roche lobe size of the donor star at periastron (equation 6)
Rtruncftrunca, average tidal truncation radius (equation 7)
RcritVDD boundary beyond which gas flows are subsonic (equation 8)
csSound speed in the ionised isothermal VDD
Σ0Base surface density of the VDD
αViscosity parameter of the VDD
|$\dot{M}_{\rm ej}$|Mass ejection rate of the O/B star
|$\dot{M}_{\rm acc}$|Peak/outburst accretion rate in the Be-XRB
LbolBolometric luminosity during outbursts
ϵRadiative efficiency
|$\dot{M}_{\rm Edd}$|Eddington limit of accretion rate (equation 15)
η|$\equiv \dot{M}_{\rm acc}/\dot{M}_{\rm Edd}$|⁠, Eddington ratio during outbursts
fdutyEffective fraction of time the Be-XRB spends in outbursts
LXOutburst X-ray luminosity for a certain band
ψXCalibration parameter for the observed LXPorb relation
fcorrCorrection factor for outburst luminosity (Section 3.2)
τLifetime of the Be-XRB
MtotTotal stellar mass underlying the Be-XRB population
|$\mathcal {N}_{\rm X}$|Number of Be-XRBs in the outburst phase per unit SFR
|$\mathcal {L}_{\nu }$|Specific X-ray luminosity per unit SFR
|$\mathcal {L}_{\rm X}$|X-ray luminosity per unit SFR for a certain band
Table 1.

Key physical quantities.

ZAbsolute metallicity (mass fraction of metals)
M1Initial primary mass
M2Initial secondary mass
aOrbital separation (semimajor axis)
eOrbital eccentricity
PorbOrbital period
PsSpin period of the NS
MXCompact object (NS/BH) mass
MMass of the donor star
REquatorial radius of the donor star
vKepEquatorial Keplerian velocity of the donor star
vrotEquatorial rotation velocity of the donor star
Wvrot/vKep with the initial value denoted by W0
RL1Roche lobe size of the donor star at periastron (equation 6)
Rtruncftrunca, average tidal truncation radius (equation 7)
RcritVDD boundary beyond which gas flows are subsonic (equation 8)
csSound speed in the ionised isothermal VDD
Σ0Base surface density of the VDD
αViscosity parameter of the VDD
|$\dot{M}_{\rm ej}$|Mass ejection rate of the O/B star
|$\dot{M}_{\rm acc}$|Peak/outburst accretion rate in the Be-XRB
LbolBolometric luminosity during outbursts
ϵRadiative efficiency
|$\dot{M}_{\rm Edd}$|Eddington limit of accretion rate (equation 15)
η|$\equiv \dot{M}_{\rm acc}/\dot{M}_{\rm Edd}$|⁠, Eddington ratio during outbursts
fdutyEffective fraction of time the Be-XRB spends in outbursts
LXOutburst X-ray luminosity for a certain band
ψXCalibration parameter for the observed LXPorb relation
fcorrCorrection factor for outburst luminosity (Section 3.2)
τLifetime of the Be-XRB
MtotTotal stellar mass underlying the Be-XRB population
|$\mathcal {N}_{\rm X}$|Number of Be-XRBs in the outburst phase per unit SFR
|$\mathcal {L}_{\nu }$|Specific X-ray luminosity per unit SFR
|$\mathcal {L}_{\rm X}$|X-ray luminosity per unit SFR for a certain band
ZAbsolute metallicity (mass fraction of metals)
M1Initial primary mass
M2Initial secondary mass
aOrbital separation (semimajor axis)
eOrbital eccentricity
PorbOrbital period
PsSpin period of the NS
MXCompact object (NS/BH) mass
MMass of the donor star
REquatorial radius of the donor star
vKepEquatorial Keplerian velocity of the donor star
vrotEquatorial rotation velocity of the donor star
Wvrot/vKep with the initial value denoted by W0
RL1Roche lobe size of the donor star at periastron (equation 6)
Rtruncftrunca, average tidal truncation radius (equation 7)
RcritVDD boundary beyond which gas flows are subsonic (equation 8)
csSound speed in the ionised isothermal VDD
Σ0Base surface density of the VDD
αViscosity parameter of the VDD
|$\dot{M}_{\rm ej}$|Mass ejection rate of the O/B star
|$\dot{M}_{\rm acc}$|Peak/outburst accretion rate in the Be-XRB
LbolBolometric luminosity during outbursts
ϵRadiative efficiency
|$\dot{M}_{\rm Edd}$|Eddington limit of accretion rate (equation 15)
η|$\equiv \dot{M}_{\rm acc}/\dot{M}_{\rm Edd}$|⁠, Eddington ratio during outbursts
fdutyEffective fraction of time the Be-XRB spends in outbursts
LXOutburst X-ray luminosity for a certain band
ψXCalibration parameter for the observed LXPorb relation
fcorrCorrection factor for outburst luminosity (Section 3.2)
τLifetime of the Be-XRB
MtotTotal stellar mass underlying the Be-XRB population
|$\mathcal {N}_{\rm X}$|Number of Be-XRBs in the outburst phase per unit SFR
|$\mathcal {L}_{\nu }$|Specific X-ray luminosity per unit SFR
|$\mathcal {L}_{\rm X}$|X-ray luminosity per unit SFR for a certain band
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