T. Barnes et al., NN CORE INTERACTIONS AND DIFFERENTIAL CROSS-SECTIONS FROM ONE GLUON EXCHANGE, Physical review. C. Nuclear physics, 48(2), 1993, pp. 539-552
We derive nonstrange baryon-baryon scattering amplitudes in the nonrel
ativistic quark model using the ''quark Born diagram'' formalism. This
approach describes the scattering as a single interaction, here the o
ne-gluon-exchange (OGE) spin-spin term followed by constituent interch
ange, with external nonrelativistic baryon wave functions attached to
the scattering diagrams to incorporate higher-twist wave-function effe
cts. The short-range repulsive core in the NN interaction has previous
ly been attributed to this spin-spin interaction in the literature; we
find that these perturbative constituent-interchange diagrams do inde
ed predict repulsive interactions in all I, S channels of the nucleon-
nucleon system, and we compare our results for the equivalent short-ra
nge potentials to the core potentials found by other authors using non
perturbative methods. We also apply our perturbative techniques to the
NDELTA and DELTADELTA systems: Some DELTADELTA channels are found to
have attractive core potentials and may accommodate ''molecular'' boun
d states near threshold. Finally we use our Born formalism to calculat
e the NN differential cross section, which we compare with experimenta
l results for unpolarized proton-proton elastic scattering. We find th
at several familiar features of the experimental differential cross se
ction are reproduced by our Born-order result.