Calculation of the binding energy of a biexciton in a cylindrical quantum dot with a morse potential

In the current article the biexciton states in a cylindrical quantum dot in the strong size quantization regime have been discussed and the stability of the biexciton has been shown. A cylindrical quantum dot is confined in the axial direction by the parabolic potential, and in the radial direction by the Morse potential. The dependences of the ground state energy state of the biexciton on the geometric parameters of the quantum dot are calculated using the Heisenberg uncertainty principle. The dependence of the biexciton binding energy on the frequency of the parabolic potential is plotted. The lifetime of an exciton and biexciton in a cylindrical quantum dot is estimated for various parameters of the quantum dot