Cluster states of fermions in the single l-shell model

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Abstract

The paper deals with 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 and applied also to create multi cluster states. Ground state energy expressions are derived for the n-cluster states at different l, s values and interpreted in simple terms.

Original languageEnglish
Pages (from-to)113-124
Number of pages12
JournalEuropean Physical Journal D
Volume42
Issue number1
DOIs
Publication statusPublished - Apr 2007

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fermions
ground state
atoms
traps
wave functions
operators
gases
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Cluster states of fermions in the single l-shell model. / Csordás, A.; Szöke, É; Szépfalusy, P.

In: European Physical Journal D, Vol. 42, No. 1, 04.2007, p. 113-124.

Research output: Contribution to journalArticle

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