4,930 research outputs found
Two Particle States in a Box and the -Matrix in Multi-Channel Scattering
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.
A relation between the exact energy eigenvalue in the box and the two-channel
-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.Comment: 4 pages, typeset with ws-ijmpa.cls. Talk presented at International
Conference on QCD and Hadronic Physics, June 16-20, 2005, Beijing, China. One
reference adde
- …