Condensate density inHe4II as inferred from the structure factor

Recent experiments on the structure factor in liquid ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ find a loss of spatial order below $T_{\lambda }$ Although Hyland, Rowlands, and Cummings interpret such behavior as a direct consequence of Bose-Einstein condensation, a weakly interacting Bose gas at low temperature is shown to provide a clear counterexample to their proposed form for the pair-correlation function.