The two-centre shell model for the fission of metallic clusters

Abstract

We calculate potential energies for charged and neutral jellium clusters which fragment in two pieces, in the framework of the liquid drop model plus Strutinsky shell corrections obtained from the two-centre harmonic oscillator. We consider the symmetric fragmentation of Na>> , Na>> , and Na . Good agreement is found with results obtained by self-consistent methods, which are much more involved.

On the ternary fission of atomic clusters

“…The method is known to work well for describing binding, cohesive and ionization energies of metal clusters. It gives results which are close to the results obtained by self-consistent quantal methods as the Kohn-Sham (KS) calculations for spherical jellium or stabilized jellium and to the experimental ones (e.g., [4]- [7] and references therein). Some results for representative spherical sodium clusters -including products of our ternary fission-are presented in table I.…”