  The aims of the reported work are to provide new insights into the quantum
dot optical properties confined in an inverse of a quadratic Hellmann
potential. The Schr\"odinger equation is solved using the Nikiforov-Uvarov (NU)
method, in order to obtain the analytical expressions of the eigenenergies and
the eigenfunctions. The linear together with the third-order nonlinear changes
in absorption coefficients and refractive index are investigated using the
density matrix formalism. The absorption coefficients and the refractive index
changes are strong related to the structure parameters and the optical
intensity.
