Nuclear forces in the parity odd sector and the LS forces

TL;DR

This study pioneers the extraction of nucleon-nucleon potentials, including spin-orbit forces, in the parity odd sector using lattice QCD, providing initial insights into these interactions.

Contribution

First attempt to determine NN potentials in the parity odd sector with spin-orbit forces via lattice QCD methods.

Findings

Qualitative agreement with phenomenological potentials

Successful extraction of central, tensor, and spin-orbit potentials

Initial results with large statistical errors

Abstract

In this paper, we report our first attempt at determining NN potentials in the parity odd sector including the spin-orbit force in lattice QCD, employing the method to extract successfully parity even NN potentials from Nambu-Bethe-Salpeter (NBS) wave functions through the Schr\"odinger equation. Using Nf = 2 CP-PACS gauge configurations on a 16^3 x 32 lattice at a = 0.16 fm and m_\pi \cong 1.1 GeV, we calculate central, tensor and spin-orbit potentials in the parity odd sector. Although statistical errors are still large, we observe that the qualitative features of these potentials roughly agree with those of phenomenological potentials.