Ground state of a two-dimensional charged-boson system

The ground state of a two-dimensional charged-boson system is investigated over the range of densities 1{}Rₛ{}10 in the self-consistent-field approximation; Rₛ=(a₀²{π}{ρ})^-1/2, where a₀ is the Bohr radius and {ρ} is the number density. Starting with numerical self-consistent calculations of the static structure factor, the elementary excitation, pair-correlation functions, pressure, and ground-state energy are evaluated. These results are compared with those of the two-dimensional and three-dimensional systems obtained from other methods. The ground-state energy is given as E_0=-1.2918Rₛ^-2/3+0.03, which improves that result from the ring-diagram approximation.