Nuclear Force from Lattice QCD

By N. Ishii, S. Aoki, T. Hatsuda. 2006

348 citations recorded by the source corpus.

The first lattice QCD result on the nuclear force (the NN potential) is presented in the quenched level. The standard Wilson gauge action and the standard Wilson quark action are employed on the lattice of the size 16^3\times 24 with the gauge coupling beta=5.7 and the hopping parameter kappa=0.1665. To obtain the NN potential, we adopt a method recently proposed by CP-PACS collaboration to study the pi pi scattering phase shift. It turns out that this method provides the NN potentials which are faithful to those obtained in the analysis of NN scattering data. By identifying the equal-time Bethe-Salpeter wave function with the Schroedinger wave function for the two nucleon system, the NN potential is reconstructed so that the wave function satisfies the time-independent Schroedinger equation. In this report, we restrict ourselves to the J^P=0^+ and I=1 channel, which enables us to pick up unambiguously the ``central'' NN potential V_{central}(r). The resulting potential is seen to posses a clear repulsive core of about 500 MeV at short distance (r<0.5 fm). Although the attraction in the intermediate and long distance regions is still missing in the present lattice set-up, our method is appeared to be quite promising in reconstructing the NN potential with lattice QCD.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5df612665f04728727385f128e3abf9da15dd99c

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Citations in the corpus

• Strangeness in nuclei and neutron stars (2020, methodology): “iagrammatic methods (Brueckner-BetheGoldstone expansion [328], the DBHF approach [329, 330] and the self-consistent Green’s function [331]), renormalization group methods [332], and LQCD calculations [225, 235]. The advantage of most of these approaches is the systematic addition of higher-order con”
• Scattering processes and resonances from lattice QCD (2017, methodology): “Lastly we consider the potential method, which has been championed by the HAL QCD collaboration (Aoki et al., 2012a, 2010, 2013; Ishii et al., 2012, 2007).”
• The XYZ states: Experimental and theoretical status and perspectives (2019, neutral): “[889–901].”