It was shown recently that fluorescence cross-correlation spectroscopy (FCCS) can be performed using a single laser wavelength for excitation (SW-FCCS) [L. C. Hwang and T. Wohland, Chem. Phys. Chem 5, 549 (2004).]. This method simplifies the FCCS setup since it does not require the simultaneous alignment of two lasers to the same focal spot. But up to now the method was shown to work only with dyes possessing large Stokes' shifts, and thus was limited to the use of quantum dots and tandem dyes. In this work we show that standard organic dyes with overlapping emission spectra, for instance fluorescein and tetramethylrhodamine, can be used as fluorescent pairs in SW-FCCS. As a biological model system for ligand-receptor interactions we studied the binding of biotin to streptavidin. To investigate the applicability of SW-FCCS for binding studies we adapt the existing FCCS theory for SW-FCCS and calculate limits for the measurement of dissociation constants in dependence on sample concentration, sample purity, and spectral cross talk between the different detection channels.