Two Particle States in an Asymmetric Box

Details Two Particle States in an Asymmetric Box Two Particle States in an Asymmetric Box

2003-11-25

arxiv.org/abs/hep-lat/0311035v4

Phys.Lett. B587 (2004) 100-104

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, typos corrected from version 2

Scientific paper

10.1016/j.physletb.2004.02.068

The exact two-particle energy eigenstates in an asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum are obtained. These results can be viewed as a generalization of the corresponding formulae in a cubic box obtained by L\"uscher before. In particular, the s-wave scattering length is related to the energy shift in the finite box. Possible applications of these formulae are also discussed.

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