Exploring Three Nucleon Forces in Lattice QCD

TL;DR

This paper investigates the three nucleon force using lattice QCD with a new formulation that relies solely on parity-even two-nucleon potentials, overcoming current limitations in lattice calculations.

Contribution

It introduces a novel method to extract three nucleon forces from lattice QCD without requiring parity-odd two-nucleon potentials.

Findings

Identified the three nucleon force in the triton channel.

Developed a linear coordinate configuration for efficient calculation.

Performed lattice simulations with specific parameters at eta=1.95.

Abstract

We study the three nucleon force in Nf=2 dynamical clover fermion lattice QCD, utilizing the Nambu-Bethe-Salpeter wave function of the three nucleon system. Since parity-odd two nucleon potentials are not available in lattice QCD at this moment, we develop a new formulation to extract the genuine three nucleon force which requires only the information of parity-even two nucleon potentials. In order to handle the extremely expensive calculation cost, we consider a specific three-dimensional coordinate configuration for the three nucleons. We find that the linear setup is advantageous, where nucleons are aligned linearly with equal spacings. The lattice calculation is performed with 16^3 x 32 configurations at \beta=1.95, m_\pi=1.13 GeV generated by CP-PACS Collaboration, and the result of the three nucleon force in triton channel is presented.