Nuclear force in Lattice QCD

TL;DR

This study uses quenched lattice QCD to analyze baryon-baryon interactions, extracting nuclear forces and examining the roles of quark exchanges and Pauli-blocking effects in inter-baryon interactions.

Contribution

It provides a detailed lattice QCD analysis of the nuclear force, including contributions from specific Feynman diagrams and effects like quark exchange and Pauli blocking.

Findings

Inter-baryon force as a function of distance was obtained.

Quark-exchange diagrams significantly influence the nuclear force.

Pauli-blocking effects were isolated and analyzed.

Abstract

We perform the quenched lattice QCD analysis on the nuclear force (baryon-baryon interactions). We employ $20^3\times 24$ lattice at $\beta=5.7$ ($a\simeq 0.19$ fm) with the standard gauge action and the Wilson quark action with the hopping parameters $\kappa=0.1600, 0.1625, 0.1650$, and generate about 200 gauge configurations. We measure the temporal correlators of the two-baryon system which consists of heavy-light-light quarks. We extract the inter-baryon force as a function of the relative distance $r$. We also evaluate the contribution to the nuclear force from each ``Feynman diagram'' such as the quark-exchange diagram individually, and single out the roles of Pauli-blocking effects or quark exchanges in the inter-baryon interactions.