Spin 1/2 Fermions in the Unitary Limit

dc.creatorKohler, H. S.
dc.date2007-01-02
dc.date2007-05-07
dc.date.accessioned2026-07-07T07:59:39Z
dc.date.available2026-07-07T07:59:39Z
dc.descriptionThe energy shift due to the interaction of two particles in a large box is proportional to the free particle scattering phase-shift. This provides an approximation to the effective interaction referred to as the phase-shift approximation. For a many-body fermion system this effective interaction has to be corrected for the Pauli-blocking. It is used to calculate the energy of a spin 1/2 fermion system as a function of the two-body scattering length and effective range. In the unitary limit with scattering length going to infinity and effective range going to zero the energy is 0.540 (in the units of the non-interactiong fermi gas energy) with a pp-ladder summation. Including hh-ladders the energy is 0.570. A smooth crossover from the BCS to the BEC region is observed. Pairing is not included.
dc.description11 pages and 4 figures; This paper will be revised due to a error in computer-program
dc.identifierhttps://arxiv.org/abs/nucl-th/0701006
dc.identifierhttp://arxiv.org/abs/nucl-th/0701006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128446
dc.subjectNuclear Theory
dc.subjectAstrophysics
dc.subjectOther Condensed Matter
dc.titleSpin 1/2 Fermions in the Unitary Limit
dc.typetext

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