Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-04-25
JHEP 0507:011,2005
Physics
High Energy Physics
High Energy Physics - Lattice
18 pages, no figures. minor changes compared with previous version
Scientific paper
10.1088/1126-6708/2005/07/011
Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions in all three directions. A relation between the exact energy eigenvalue in the box and the two-channel $S$-matrix elements in the continuum is obtained. This result can be viewed as a generalization of the well-known L\"uscher's formula which establishes a similar relation in elastic scattering.
Feng Xu
He Song
Liu Chuan
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