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Particle distribution tail and related energy formula · Around

2009

Particle distribution tail and related energy formula

Combescot, R., Alzetto, F., Leyronas, X.

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We present a simple derivation of the energy formula found by Tan, relative to the single channel hamiltonian relevant for ultracold Fermi gases.

This derivation is generalized to particles with different masses, to arbitrary mixtures, and to two-dimensional space.
We show how, in a field theoretical approach, the $1/k^4$ tail in the momentum distribution and the energy formula arise in a natural way.
As a specific example, we consider quantitative calculations of the energy, from different formulas within the ladder diagrams approximation in the normal state.

Built on

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S. Zhang and A. J. Leggett, arXiv:0809.1892. We have been aware of this paper when our work was essentially completed
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Cited in the paper.

Then

For a very recent review, see S. Giorgini, L. P. Pitaevskii and S. Stringari, Rev.Mod.Phys. 80
2008
Later among the works it cites.
S. Tan, arXiv:cond-mat/0505200; Annals of Physics 323
2008
Later among the works it cites.
E. Braaten and L. Platter, Phys. Rev. Lett. 100
2008
Later among the works it cites.
S. Tan, arXiv:cond-mat/0508320; Annals of Physics 323
2008
Later among the works it cites.

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