GLYPH<Minus> 4 GLYPH<Minus> 2 0 2 4 0.2 0.4 0.6 0.8 1.0 Density for attractive fermions PSfrag replacements n/mT µ/T FIG. 2: Density of the attractive fermionic case as a function of µ/T . The above value for ˜ ξ as µ/T → −∞ was determined numerically, however it turns out to equal 12 log 2 /π $^{2}$. Equation (37) then shows that the energy per particle ϵ$_{1}$ = T , which simply means that in the limit µ/T → −∞ the gas is effectively classical. This feature will be encountered in other cases below. The single particle energy scaling function ξ has the behaviour shown in Figure 8. It has the limiting behavior The value ξ (0) = 1 is consistent with the arguments in [10]. It diverges as T /µ → 0 − due to the vanishing density at µ/T → −∞ . lim T/µ → 0 $_{+}$ξ = 1 , lim T/µ $_{→±∞}$ξ = 2 . 25593 (67) 22