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The scaling function b has the same expression as in eq. (55), with the above c . The density now is 

The energy per particle scaling functions now take the form: 

and 

For this bosonic case, there is only a solution to eq. (83) for z ≤ z$_{c}$ ≈ . 34, or µ/T ≤ − 1 . 08. The density is shown in Figure 13, and note that it has a maximum. 

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