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We analyze the ground-state properties of an artificial atom made out ofrepulsive bosons attracted to a center for the case that all the interactionsare short-ranged. Such bosonic atoms could be created by optically trappingultracold particles of alkali vapors; we present the theory describing howtheir properties depend on experimentally adjustable strength of ``nuclear''attraction and interparticle repulsion. The binding ability of the short-rangepotential increases with space dimensionality - only a limited number ofparticles can be bound in one dimension, while in two and three dimensions thenumber of bound bosons can be chosen at will. Particularly in three dimensionswe find an unusual effect of enhanced resonant binding: for not very stronginterparticle repulsion the equilibrium number of bosons bound to a nuclearpotential having a sufficiently shallow single-particle state increases withoutbound as the nuclear potential becomes less attractive. As a consequence of thecompeting nuclear attraction enhanced by the Bose statistics and interparticlerepulsions, the dependence of the ground-state energy of the atom on the numberof particles has a minimum whose position is experimentally tunable. Thisimplies a staircase dependence of the equilibrium number of bound bosons onexternal parameters which may be used to create a single-atom pipette - anarrangement which allows the transport of atoms into and out of a reservoir,one at a time.Comment: 17 pages, 9 figure

Ground-state properties of artificial bosonic atoms, Bose interaction blockade, and the single-atom pipette