The $π-$Gluon Exchange Interaction Between Constituent Quarks

Details The $π-$Gluon Exchange Interaction Between Constituent Quarks The $π-$Gluon Exchange Interaction Between Constituent Quarks

1998-05-11

arxiv.org/abs/hep-ph/9805280v1

Phys.Rev. C58 (1998) 2928-2938

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 17 pages, 5 Postscript figures

Scientific paper

10.1103/PhysRevC.58.2928

The interaction mediated by irreducible pion and gluon exchange between constituent quarks is calculated and shown to have a strong tensor component, which tends to cancel the pion exchange tensor interaction between quarks. Its spin-spin component is somewhat weaker than the pion exchange spin-spin interaction, while its central and spin-orbit components are small in comparison to the corresponding single gluon exchange interactions. The combination of the $\pi-$gluon exchange interaction with the single pion exchange interaction and a weak gluon exchange interaction between constituent quarks has the qualitative features required for understanding the hyperfine splittings of the spectra of the nucleon and the $\Delta$ resonances.

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