Journal
COMPUTER PHYSICS COMMUNICATIONS
Volume 184, Issue 1, Pages 117-123Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2012.09.004
Keywords
Lattice QCD; Hadron-hadron interactions; Multi-baryon correlators; Contraction algorithms
Funding
- Foreign Postdoctoral Researcher Program at RIKEN
- MEXT [24740146, 23740227]
- Large Scale Simulation Program of KEK [12-11]
- SPIRE (Strategic Program for Innovative REsearch)
- Grants-in-Aid for Scientific Research [24740146, 23740227] Funding Source: KAKEN
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We propose a novel algorithm for calculating multi-baryon correlation functions on the lattice. By considering the permutation of quarks (Wick contractions) and color/spinor contractions simultaneously, we construct a unified index list for the contraction where the redundancies in the original contraction are eliminated. We find that a significant reduction in the computational cost of correlators is achieved, e.g., by a factor of 192 for H-3 and He-3 nuclei, and a factor of 20736 for the He-4 nucleus, without assuming isospin symmetry. A further reduction is possible by exploiting isospin symmetry, and/or interchange symmetries associated with sink baryons, if such symmetries exist. Extensions for systems with hyperons are presented as well. (C) 2012 Elsevier B.V. All rights reserved.
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