Two particle states and the S-matrix elements in multi-channel scattering

By Song He, Xu Feng, Chuan Liu. 2005

174 citations recorded by the source corpus.

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 Luscher's formula which establishes a similar relation in elastic scattering.

Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f0f4522bc95bf39a0131bc891d8654a8b26730d8

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

• Scattering processes and resonances from lattice QCD (2017, unknown): “2012; He et al., 2005; Kim et al., 2005; Lage et al., 2009; Leskovec and Prelovsek, 2012; Li and Liu, 2013; Li and Wu, 2015; Liu et al., 2006; Luscher, 1986b, 1991; Rummukainen and Gottlieb, 1995).”
• Microscopic clustering in light nuclei (2017, background): “e mixing, multichannel scattering, boosted frames and all possible types of boundary conditions, see e.g. Refs. (Bernard et al., 2008; Bour et al., 2011; Briceno et al., 2013; Gockeler et al., 2012; He et al., 2005; Konig et al., 2011, 2012; Lage et al., 2009; Li et al., 2014; Li and Liu, 2013; Li a”