Mainz 2012 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 10: Struktur und Dynamik von Kernen

HK 10.4: Talk

Monday, March 19, 2012, 17:45–18:00, RW 3

Topological phases for bound states moving in a finite volume — •Shahin Bour Bour¹, Dean Lee², Hans-Werner Hammer¹, Ulf-G. Meißner¹, and Sebastian König¹ — ¹Helmholtz-Institut für Strahlen- und Kernphysik und Bethe-Center for Theoretical Physics, Universität Bonn — ²Department of Physics, North Carolina State University, Raleigh, NC 27695, USA

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.

[1] Phys. Rev. D 84, 091503(R) (2011), arXiv:1107.1272v2