Effects of the Scattering Length on the Yrast Spectrum for a Two-Component Bose--Einstein Condensates

We study the energy eigenvalue and the yrast states for a harmonically two-component weak-interacting Bose--Einstein condensate (BEC) when the intra-species and interspecies scattering length are different. The energy shift for different energy eigenvalues related to intra- and interspecies scattering lengths is calculated with the perturbation method. The actual yrast spectrum is more complicated than that when intra-species and interspecies scattering length are equal. The degenerated features disappear and so do the perfect symmetric features.