Calculation of Helium nuclei in quenched lattice QCD

Abstract

We present results for the binding energies for ^4He 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 ground state energy of the nucleus channel 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.

12 pages, 4 figures, Talk given at the XXVIII International Symposium on Lattice Field Theory, June 14-19 2010, Villasimius, Italy

References in corpus (11)

• Nuclear Force from Lattice QCD
• Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Nuclear Physics from lattice QCD at strong coupling
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• Dependence of nuclear binding on hadronic mass variation
• High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
• Helium Nuclei in Quenched Lattice QCD
• High Statistics Analysis using Anisotropic Clover Lattices: (III) Baryon-Baryon Interactions
• Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
• The study of the Three Nucleon Force in full QCD Lattice calculations