Breaking and restoration of rotational symmetry for irreducible tensor operators on the lattice

Bing-Nan Lu, Timo A. Lähde, Dean Lee, and Ulf-G. Meißner
Phys. Rev. D 92, 014506 – Published 23 July 2015

Abstract

We study the breaking of rotational symmetry on the lattice for irreducible tensor operators and practical methods for suppressing such breaking. We illustrate the features of the general problem using an α cluster model for Be8. We focus on the lowest states with nonzero angular momentum and examine the matrix elements of multipole moment operators. We show that reduced matrix elements are well reproduced by averaging over all possible orientations of the quantum state. This averaging is performed in terms of a sum of matrix elements weighted by the Clebsch-Gordan coefficients of each orientation. For our α cluster model, we find that the effects of rotational symmetry breaking can be largely eliminated for lattice spacings of a1.7fm, and we expect similar improvement for lattice Monte Carlo calculations.

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  • Received 22 April 2015

DOI:https://doi.org/10.1103/PhysRevD.92.014506

© 2015 American Physical Society

Authors & Affiliations

Bing-Nan Lu1,*, Timo A. Lähde1, Dean Lee2, and Ulf-G. Meißner3,1,4

  • 1Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 2Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA
  • 3Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
  • 4JARA-High Performance Computing, Forschungszentrum Jülich, D-52425 Jülich, Germany

  • *b.lu@fz-juelich.de

See Also

Breaking and restoration of rotational symmetry on the lattice for bound state multiplets

Bing-Nan Lu, Timo A. Lähde, Dean Lee, and Ulf-G. Meißner
Phys. Rev. D 90, 034507 (2014)

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Vol. 92, Iss. 1 — 1 July 2015

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