Abstract
In this paper, we search for the correlations between the intrinsic properties of galaxies and the Bose–Einstein condensate (BEC) under the scheme of a scalar field dark matter (SFDM) at the temperature of condensation greater than zero. According to this paradigm the BEC is distributed in several states. Based on the galactic rotation curves collected in SPARC dataset, we observe that the SFDM parameters present a weak correlation with the most of the galaxy properties, having only a correlation with those related to neutral hydrogen emissions. In addition, we found evidence to the support of self-interaction between the different BEC states proposing that, in future studies, the crossed terms in SFDM equations must be considered. Finally, we find a null correlation with galaxy distances giving support to the nonhierarchy of SFDM formation.
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