Three Baryon Interaction Generated by Determinant Interaction of Quarks

TL;DR

This paper investigates the three-baryon interaction generated by the determinant interaction of quarks, revealing its repulsive nature in certain systems and its potential implications for hypernuclear physics.

Contribution

It provides a calculation of the three-baryon potential from the KMT interaction using a quark-cluster model, highlighting its characteristics and potential experimental relevance.

Findings

The three-baryon potential is repulsive for $NN\Lambda$ and $N\Lambda\Lambda$ systems.

The potential strength and range are comparable to lattice QCD results for $NNN$ systems.

The contribution to $\Lambda$ potential in nuclear matter is quantified, but not enough to solve the hyperon puzzle.

Abstract

We discuss the three-baryon interaction generated by the determinant interaction of quarks, known as the Kobayashi-Maskawa-'t Hooft (KMT) interaction. The expectation value of the KMT interaction operator is calculated in fully-antisymmetrized quark-cluster model wave functions for one-, two- and three-octet baryon states. The three-baryon potential from the KMT interaction is found to be repulsive for $NN\Lambda$ and $N\Lambda\Lambda$ systems, while it is zero for the $NNN$ system. The strength and range of the three-baryon potential are found to be comparable to those for the $NNN$ three-body potential obtained in lattice QCD simulations. The contribution to the $\Lambda$ single particle potential in nuclear matter is found to be 0.28 MeV and 0.73 MeV in neutron matter and symmetric nuclear matter at normal nuclear density, respectively. These repulsive forces are not enough to solve the hyperon puzzle, but may be measured in high-precision hyperisotope experiments.