Intrinsic three-body nuclear interaction from a constituent quark model

TL;DR

This paper investigates the intrinsic three-nucleon interaction at short distances using a constituent quark model with color-spin interaction, finding it vanishes under certain symmetry conditions.

Contribution

It provides a detailed calculation of the intrinsic three-body interaction in a constituent quark model and demonstrates its vanishing in specific symmetry limits.

Findings

Intrinsic three-body interaction vanishes in flavor SU(3) symmetric limit.

Intrinsic three-body interaction also vanishes for flavor-spin quark interactions.

Transformation coefficients between tribaryon and baryon basis are computed.

Abstract

We study the short distance part of the intrinsic three-nucleon interaction in a constituent quark model with color-spin interaction. For that purpose we first calculate the transformation coefficient between the tribaryon configuration and their corresponding three baryon basis. Using a formula for the intrinsic three-body interaction in terms of a tribaryon configuration, we find that after subtracting the corresponding two-baryon contributions, the intrinsic three-body interaction vanishes in flavor SU(3) symmetric limit for all quantum numbers for the three nucleon states. We further find that the intrinsic three-body interaction also vanishes for flavor-spin type of quark interaction.