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Three fermions in a box · Around

2008

Three fermions in a box

Luu, Thomas

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I calculate finite-volume effects for three identical spin-1/2 fermions in a box assuming short-ranged repulsive interactions of `natural size'.

This analysis employs standard perturbation theory in powers of 1/L, where L^3 is the volume of the box.
I give results for the ground states in the A_1, T_1, and E cubic representations.

Built on

J. Slater, Quantum theory of molecules and solids, Vol. 1 , McGraw-Hill, New York 1963
1963
Earlier work this paper cites.
M. L u ¨ \ddot{\mbox{u}} scher, Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. 2. Scattering States , Commun. Math. Phys. , 105
1986
Earlier work this paper cites.
S. Beane et al., Nucleon nucleon scattering from fully-dynamical lattice QCD , Phys. Rev. Lett. 97
2006
Earlier work this paper cites.

Similar

S. Beane, W. Detmold, and M. Savage, n-Boson Energies at Finite Volume and Three-Boson Interactions , Phys. Rev. D76
2007
Cited alongside, same era.
S. Beane, K. Orginos, and M. Savage, Hadronic Interactions from Lattice QCD , Int. J. Mod. Phys. E17
2008
Cited alongside, same era.
S. Beane et al., Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction , Phy. Rev. Lett. 100
2008
Cited alongside, same era.

Then

W. Detmold et al., Kaon Condensation with Lattice QCD (2008) hep-lat/0807.1856
2008
Closest in time.
W. Detmold and M. Savage, The Energy of n Identical Bosons in a Finite Volume at O(L -7
2008
Closest in time.
Luu et al., in preparation (2009)
Original
2009
Closest in time.

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