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We study harmonically trapped two-species Bose-Einstein condensates withinthe Gross-Pitaevskii formalism. By invoking the Thomas-Fermi approximation, wederive an analytical solution for the miscible ground state in a particularregion of the system's parameter space. This solution furnishes a simpleformula for determining the relative strength of the interspecies interactionfrom a measurement of the density distribution of only one of the two species.Accompanying numerical simulations confirm its accuracy for sufficiently largenumbers of condensed particles. The introduced formula provides acondensate-based scheme that complements the typical experimental methods ofevaluating interspecies scattering lengths from collisional measurements onthermal samples.

Determining the interspecies interaction strength of a two-species Bose-Einstein condensate from the density profile of one species