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Scattering between fermion pairs in the BEC/BCS crossover

J Tempere and J T Devreese

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We investigate how the interactions between correlated pairs of fermions in a superfluid Fermi gas are related to the atom–atom interactions in this gas. To obtain an expression linking the pair–pair scattering length apair to the atom–atom scattering length as, a Landau–Ginzburg expansion of the free energy with respect to the order parameter is performed and the resulting interaction energy is identified with a contact interaction between pairs. We find that apair/as derived in this way is strongly influenced by many-body effects and is not constant throughout the BEC/BCS transition. This result is related to the behaviour of the Landau–Ginzburg parameters in conventional BCS superconductors. The effect of fluctuations of the order parameter on the pair–pair scattering length are discussed.


PACS

74.20.Fg BCS theory and its development

74.20.De Phenomenological theories (two-fluid, Ginzburg-Landau, etc.)

74.40.+k Fluctuations (noise, chaos, nonequilibrium superconductivity, localization, etc.)

Subjects

Superconductivity

Dates

Issue 10 (28 May 2006)

Received 29 November 2005, in final form 3 January 2005

Published 2 May 2006



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