Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-12-08
Phys.Rev.D81:111504,2010
Physics
High Energy Physics
High Energy Physics - Lattice
4 pages, 3 figures
Scientific paper
10.1103/PhysRevD.81.111504
We present results for the binding energies for He and ^3He nuclei calculated in quenched lattice QCD at the lattice spacing of a = 0.128 fm with a heavy quark mass corresponding to m_pi = 0.8 GeV. Enormous computational cost for the nucleus correlation functions is reduced by avoiding redundancy of equivalent contractions stemming from permutation symmetry of protons or neutrons in the nucleus and various other symmetries. To distinguish a bound state from an attractive scattering state, we investigate the volume dependence of the energy difference between the nucleus and the free multi-nucleon states by changing the spatial extent of the lattice from 3.1 fm to 12.3 fm. A finite energy difference left in the infinite spatial volume limit leads to the conclusion that the measured ground states are bounded. It is also encouraging that the measured binding energies and the experimental ones show the same order of magnitude.
for the PACS-CS Collaboration
Kuramashi Yoshinobu
Ukawa Akira
Yamazaki Tadashi
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