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Two Particle States in a Box and the $s$-Matrix in Multi-Channel Scattering

Chuan Liu·Xu Feng·Song He
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Abstract

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 $S$-matrix elements in the continuum is obtained. This result can be viewed as a generalization of the well-known Lüscher's formula which establishes a similar relation in elastic scattering.

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Chuan Liu, Xu Feng, Song He. 2005-08-29. Two Particle States in a Box and the $s$-Matrix in Multi-Channel Scattering. https://doi.org/10.1142/s0217751x06032150

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