Topological phases for bound states moving in a finite volume

We show that bound states moving in a finite periodic volume have an energy correction which is topological in origin and universal in character. The topological volume corrections contain information about the number and mass of the constituents of the bound states. These results have broad applica...

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Bibliographic Details
Published inarXiv.org
Main Authors Bour, Shahin, König, Sebastian, Lee, Dean, H -W Hammer, Ulf-G Meißner
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.11.2011
Subjects
Cold atoms
Mathematical analysis
Nuclei (nuclear physics)
Nucleons
Physics - High Energy Physics - Lattice
Physics - High Energy Physics - Phenomenology
Physics - Nuclear Theory
Physics - Quantum Gases
Topology
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Summary:We show that bound states moving in a finite periodic volume have an energy correction which is topological in origin and universal in character. The topological volume corrections contain information about the number and mass of the constituents of the bound states. These results have broad applications to lattice calculations involving nucleons, nuclei, hadronic molecules, and cold atoms. We illustrate and verify the analytical results with several numerical lattice calculations.
ISSN:2331-8422
DOI:10.48550/arxiv.1107.1272