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separable expansion of the three-body kernels. When we represent the AN
interaction in terms of one-channel central potentials fitted to AN scattering
data and assume that the interaction is unaltered when the AN pair is embedded
in the nuclear medium (i.e., whon it binds to a nuclear core), then we find
that the A-4 1+ state is more bound than the 0+ state. That is, we find that
the ground state and excited state are inversely ordered in comparison with
experiment. If we instead model the AN-.EN conversion as a coupling of tne A-
E system to a spatially symmetric T-1/2, J-1/2+ trinucleon core, then we find
a suppression of the off-diagonal (AN-EN) potential which reduces the binding
in the 0+ state more than in the 1+ state. We obtain a model value for the
1+-0+ transition energy of E - 1.4 MeV. That is, E then has the right sign
and correct magnitude. We conclude that the 1 -0 binding energy difference
in the A-4 hypernuclei reflects the spin-dependence of the YN interaction in a
complex manner that cannot be simply represented by one-body equation (e.g.
mean field) approximations to few-body systems.
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