Pulsars as a probe for the nuclear and quark matter equation of state

Quark Star Masses: effects of quark pairing
– p.12
Add to a free gas of quarks terms from interaction, from pairing and
from an vacuum energy:
Ω CFL = 6 π 2 ∫ ν
0
dp p 2 (p−µ)+ 3 π 2 ∫ ν
+(1−a 4 ) 3µ4
4π − 3∆2 µ 2
2 π 2
where ν = 2µ− √ µ 2 −m 2 s/3.
0
+B eff
dp p 2 ( √ p 2 +m 2 s −µ)
∆: gap energy of the color-superconducting phase
(normally ∆ ≤ 100 MeV)
fix strange quark mass to m s = 100 MeV
set for simplicity a 4 = 0