Analytic approximations to the ground-state energy of closed-shell quantum dots (number of electrons from 2 to 210) are presented in the form of two-point Padé approximants. These Padé approximants are constructed from the small- and large-density limits of the energy. We estimated that the maximum error, reached for intermediate densities, is $<~3\%.$ Within the present approximation the ground state is found to be unpolarized.

• Received 24 July 1997

DOI:https://doi.org/10.1103/PhysRevB.56.15740