Journal
EUROPEAN PHYSICAL JOURNAL D
Volume 67, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1140/epjd/e2013-40156-8
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Funding
- European Research Council [ERC StG 240603]
- US NSF [PHY-0854912]
- US DOE [DE-FG02-04ER41338]
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We study systems of few two-component fermions interacting in a Harmonic Oscillator trap. The fermion-fermion interaction is generated in a finite basis with a unitary transformation of the exact two-body spectrum given by the Busch formula. The few-body Schrodinger equation is solved with the formalism of the No-Core Shell Model. We present results for a system of three fermions interacting at unitarity as well as for finite values of the S-wave scattering length a(2) and effective range r(2). Unitary systems with four and five fermions are also considered. We show that the many-body energies obtained in this approach are in excellent agreement with exact solutions for the three-body problem, and results obtained by other methods in the other cases.
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