In the flavor SU(3) symmetric limit, the intrinsic three-nucleon interaction in a constituent quark model vanishes after subtracting two-baryon contributions.
Tribaryon configurations and the inevitable three nucleon repulsions at short distance
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abstract
We decompose the tribaryon configuration in terms of SU(3) flavor and spin state and analyse their color-spin-flavor wave function following Pauli principle. By comparing the color-color and color-spin interactions of compact tribaryon configuration against the lowest three nucleon threshold within a constituent quark model, we show that the three nucleon forces have to be repulsive at short distance for all possible quantum numbers and all values of the SU(3) symmetry breaking parameter. Our work identifies the origin of the repulsive nuclear three body forces including the hyperons at short distance that are called for from phenomenological considerations starting from nuclear matter to the maximum mass of a neutron star.
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Intrinsic three-body nuclear interaction from a constituent quark model
In the flavor SU(3) symmetric limit, the intrinsic three-nucleon interaction in a constituent quark model vanishes after subtracting two-baryon contributions.