This title appears in the Scientific Report :
2014
Please use the identifier:
http://hdl.handle.net/2128/8563 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevD.90.034507 in citations.
Breaking and restoration of rotational symmetry on the latticefor bound state multiplets
Breaking and restoration of rotational symmetry on the latticefor bound state multiplets
We explore the breaking of rotational symmetry on the lattice for bound state energies and practicalmethods for suppressing this breaking. We demonstrate the general problems associated with latticediscretization errors and finite-volume errors using anαcluster model for8Be and12C. We consider the t...
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Personal Name(s): | Lu, Bing-Nan |
---|---|
Lähde, Timo (Corresponding Author) / Lee, Dean / Meissner, Ulf-G. | |
Contributing Institute: |
JARA - HPC; JARA-HPC Theorie der starken Wechselwirkung; IKP-3 Theorie der Starken Wechselwirkung; IAS-4 |
Published in: | Physical Review D Physical review / C, 90 90 (2014 2014) 3 3, S. 034507 034507 |
Imprint: |
Woodbury, NY
Inst.
2014
2014-08-26 2014-08-01 |
DOI: |
10.1103/PhysRevD.90.034507 |
Document Type: |
Journal Article |
Research Program: |
Hadron Structure and Dynamics (HSD) |
Subject (ZB): | |
Link: |
OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevD.90.034507 in citations.
We explore the breaking of rotational symmetry on the lattice for bound state energies and practicalmethods for suppressing this breaking. We demonstrate the general problems associated with latticediscretization errors and finite-volume errors using anαcluster model for8Be and12C. We consider the twoand threeα-particle systems and focus on the lowest states with nonzero angular momentum which splitinto multiplets corresponding to different irreducible representations of the cubic group. We examine thedependence of such splittings on the lattice spacing and box size. We find that lattice spacing errors areclosely related to the commensurability of the lattice with the intrinsic length scales of the system. We alsoshow that rotational symmetry breaking effects can be significantly reduced by using improved latticeactions, and that the physical energy levels are accurately reproduced by the weighted averages of the spinmultiplets. |