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L - Florence Theory Group - Infn

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Consider 2 fermions with m 1 = M, m 2 = 0 at the same<br />

chemical potential µ. . The Fermi momenta are<br />

2<br />

pF1 = µ −<br />

M<br />

2<br />

pF2<br />

To form a BCS condensate one needs common momenta<br />

of the pair pF comm<br />

p<br />

comm<br />

F<br />

Grand potential at T = 0<br />

for a single fermion<br />

=<br />

µ<br />

−<br />

2<br />

M<br />

4µ<br />

pF<br />

3<br />

d p r<br />

Ω = 2∫<br />

) 3<br />

( 2π)<br />

0<br />

=<br />

µ<br />

( ε(<br />

p − µ )

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