content_image/348192.jpg content_image/348197.jpg
<img src='content_image/348192.jpg'>

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 

<img src='content_image/348197.jpg'>

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 → −∞ . 

