The scalar field dark matter ( SFDM ) model proposes that galaxies form by condensation of a scalar field ( SF ) very early in the universe forming Bose-Einstein Condensates ( BEC ) drops , i.e. , in this model haloes of galaxies are gigantic drops of SF . Here big structures form like in the LCDM model , by hierarchy , thus all the predictions of the LCDM model at big scales are reproduced by SFDM . This model predicts that all galaxies must be very similar and exist for bigger redshifts than in the LCDM model . In this work we show that BEC dark matter haloes fit high-resolution rotation curves of a sample of thirteen low surface brightness galaxies . We compare our fits to those obtained using a Navarro-Frenk-White and Pseudo-Isothermal ( PI ) profiles and found a better agreement with the SFDM and PI profiles . The mean value of the logarithmic inner density slopes is \alpha = - 0.27 \pm 0.18 . As a second result we find a natural way to define the core radius with the advantage of being model-independent . Using this new definition in the BEC density profile we find that the recent observation of the constant dark matter central surface density can be reproduced . We conclude that in light of the difficulties that the standard model is currently facing the SFDM model can be a worthy alternative to keep exploring further .