Z | Absolute metallicity (mass fraction of metals) |
M1 | Initial primary mass |
M2 | Initial secondary mass |
a | Orbital separation (semimajor axis) |
e | Orbital eccentricity |
Porb | Orbital period |
Ps | Spin period of the NS |
MX | Compact object (NS/BH) mass |
M⋆ | Mass of the donor star |
R⋆ | Equatorial radius of the donor star |
vKep | Equatorial Keplerian velocity of the donor star |
vrot | Equatorial rotation velocity of the donor star |
W | ≡ vrot/vKep with the initial value denoted by W0 |
RL1 | Roche lobe size of the donor star at periastron (equation 6) |
Rtrunc | ≡ ftrunca, average tidal truncation radius (equation 7) |
Rcrit | VDD boundary beyond which gas flows are subsonic (equation 8) |
cs | Sound speed in the ionised isothermal VDD |
Σ0 | Base surface density of the VDD |
α | Viscosity 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 |
Lbol | Bolometric luminosity during outbursts |
ϵ | Radiative 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 |
fduty | Effective fraction of time the Be-XRB spends in outbursts |
LX | Outburst X-ray luminosity for a certain band |
ψX | Calibration parameter for the observed LX − Porb relation |
fcorr | Correction factor for outburst luminosity (Section 3.2) |
τ | Lifetime of the Be-XRB |
Mtot | Total 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 |
Z | Absolute metallicity (mass fraction of metals) |
M1 | Initial primary mass |
M2 | Initial secondary mass |
a | Orbital separation (semimajor axis) |
e | Orbital eccentricity |
Porb | Orbital period |
Ps | Spin period of the NS |
MX | Compact object (NS/BH) mass |
M⋆ | Mass of the donor star |
R⋆ | Equatorial radius of the donor star |
vKep | Equatorial Keplerian velocity of the donor star |
vrot | Equatorial rotation velocity of the donor star |
W | ≡ vrot/vKep with the initial value denoted by W0 |
RL1 | Roche lobe size of the donor star at periastron (equation 6) |
Rtrunc | ≡ ftrunca, average tidal truncation radius (equation 7) |
Rcrit | VDD boundary beyond which gas flows are subsonic (equation 8) |
cs | Sound speed in the ionised isothermal VDD |
Σ0 | Base surface density of the VDD |
α | Viscosity 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 |
Lbol | Bolometric luminosity during outbursts |
ϵ | Radiative 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 |
fduty | Effective fraction of time the Be-XRB spends in outbursts |
LX | Outburst X-ray luminosity for a certain band |
ψX | Calibration parameter for the observed LX − Porb relation |
fcorr | Correction factor for outburst luminosity (Section 3.2) |
τ | Lifetime of the Be-XRB |
Mtot | Total 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 |
Z | Absolute metallicity (mass fraction of metals) |
M1 | Initial primary mass |
M2 | Initial secondary mass |
a | Orbital separation (semimajor axis) |
e | Orbital eccentricity |
Porb | Orbital period |
Ps | Spin period of the NS |
MX | Compact object (NS/BH) mass |
M⋆ | Mass of the donor star |
R⋆ | Equatorial radius of the donor star |
vKep | Equatorial Keplerian velocity of the donor star |
vrot | Equatorial rotation velocity of the donor star |
W | ≡ vrot/vKep with the initial value denoted by W0 |
RL1 | Roche lobe size of the donor star at periastron (equation 6) |
Rtrunc | ≡ ftrunca, average tidal truncation radius (equation 7) |
Rcrit | VDD boundary beyond which gas flows are subsonic (equation 8) |
cs | Sound speed in the ionised isothermal VDD |
Σ0 | Base surface density of the VDD |
α | Viscosity 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 |
Lbol | Bolometric luminosity during outbursts |
ϵ | Radiative 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 |
fduty | Effective fraction of time the Be-XRB spends in outbursts |
LX | Outburst X-ray luminosity for a certain band |
ψX | Calibration parameter for the observed LX − Porb relation |
fcorr | Correction factor for outburst luminosity (Section 3.2) |
τ | Lifetime of the Be-XRB |
Mtot | Total 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 |
Z | Absolute metallicity (mass fraction of metals) |
M1 | Initial primary mass |
M2 | Initial secondary mass |
a | Orbital separation (semimajor axis) |
e | Orbital eccentricity |
Porb | Orbital period |
Ps | Spin period of the NS |
MX | Compact object (NS/BH) mass |
M⋆ | Mass of the donor star |
R⋆ | Equatorial radius of the donor star |
vKep | Equatorial Keplerian velocity of the donor star |
vrot | Equatorial rotation velocity of the donor star |
W | ≡ vrot/vKep with the initial value denoted by W0 |
RL1 | Roche lobe size of the donor star at periastron (equation 6) |
Rtrunc | ≡ ftrunca, average tidal truncation radius (equation 7) |
Rcrit | VDD boundary beyond which gas flows are subsonic (equation 8) |
cs | Sound speed in the ionised isothermal VDD |
Σ0 | Base surface density of the VDD |
α | Viscosity 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 |
Lbol | Bolometric luminosity during outbursts |
ϵ | Radiative 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 |
fduty | Effective fraction of time the Be-XRB spends in outbursts |
LX | Outburst X-ray luminosity for a certain band |
ψX | Calibration parameter for the observed LX − Porb relation |
fcorr | Correction factor for outburst luminosity (Section 3.2) |
τ | Lifetime of the Be-XRB |
Mtot | Total 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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