GLYPH<Minus> 0.8 GLYPH<Minus> 0.6 GLYPH<Minus> 0.4 GLYPH<Minus> 0.2 0.0 20 40 60 80 100 Attractive bosons PSfrag replacements ξ T /µ FIG. 17: The energy per particle scaling function ξ for attractive bosons as a function of T /µ . At the critical point it is still quite large: ξ ( z$_{c}$ ) = 12 . 6. The ratio η/s reaches its minimum near z$_{c}$ , and is quite large compared to the attractive case: The repulsive boson case is similar to the repulsive fermion, except that now there are only positive density solutions to the eq. (83) for µ/T < − log 2. Figure 22 compares the density for bosons verses fermions. The maximum density for bosons, which could again possibly signify a critical point at z$_{c}$ ≈ e − 1 . 45 = 0 . 235, is half that 37 B. Repulsive Bosons η s ≥ 22 . 6 ℏ 4 πk$_{B}$ (99)