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Interaction for the trapped fermi gas from a unitary transformation of the exact two-body spectrum

Jimmy Rotureau (Institutionen för fundamental fysik, Subatomär fysik)
European Physical Journal D : Atomic, Molecular and Optical Physics (1434-6060). Vol. 67 (2013), 7,
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: SHORT-RANGE INTERACTIONS, LARGE SCATTERING LENGTH, EFFECTIVE-FIELD THEORY, IMPENETRABLE BOSONS, 3-BOSON SYSTEM, 3-BODY PROBLEM, SHELL-MODEL, FORCES, C-12



Denna post skapades 2013-08-22.
CPL Pubid: 182009

 

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Institutioner (Chalmers)

Institutionen för fundamental fysik, Subatomär fysik (2005-2013)

Ämnesområden

Fysik
Optik

Chalmers infrastruktur

 


Projekt

Denna publikation är ett resultat av följande projekt:


Ab initio approach to nuclear structure and reactions (++) (ANSR) (EC/FP7/240603)