出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We address the issue of bound state in the two-nucleon system in lattice QCD with the quenched approximation at the lattice spacing of a = 0.128 fm using a heavy quark mass corresponding to mp = 0.8 GeV. To distinguish a bound state from an attractive scattering state, we investigate the volume dependence of the energy difference between the ground state and the free two-nucleon state 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 us to the conclusion that the measured ground states for not only spin triplet but also singlet channels are bounded. Furthermore the existence of the bound state is confirmed by investigating the properties of the energy for the first excited state obtained by 2×2 diagonalization method. The scattering lengths for both channels are evaluated by the finite volume formula derived by Lüscher.
