NEW DEFORMED SINGLE-PARTICLE SHELL MODEL

We present a new single-particle shell model, derived by solving the Schrödinger equation for a semi-spheroidal potential well. It may be used to study atomic clusters deposited on a planar surface. By assuming opacity of the surface only the negative parity states of the Z(z) component of the wave function are allowed, so that new magic numbers are obtained. The maximum degeneracy is reached at a superdeformed semi-spheroidal prolate shape whose magic numbers are identical to those obtained at the spherical shape of the spheroidal harmonic oscillator.