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Cluster states of Fermions in the single l-shell model

Andras Csordas·Eva Szoke·Peter Szepfalusy
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Abstract

The paper concerns the ground state structure of the partly filled l-shell of a fermionic gas of atoms of spin s in a spherically symmetric spin independent trap potential. At particle numbers N=n(2s+1), n=1,2,...,2l+1 the basic building blocks are clusters consisting of (2s+1) atoms, whose wave functions are completely symmetric and antisymmetric in space and spin variables, respectively. The creation operator of a cluster is constructed whose repeated application to the vacuum leads to the multi-cluster state. Ground state energy expressions are derived for the n-cluster states at different l,s values and interpreted in simple terms.

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Andras Csordas, Eva Szoke, Peter Szepfalusy. 2005-11-30. Cluster states of Fermions in the single l-shell model. https://arxiv.org/abs/cond-mat/0511734

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