  We report on the first calculation of excited baryons with a chirally
symmetric Hamiltonian, modeled after Coulomb gauge QCD (or upgraded from the
Cornell meson potential model to a field theory in all of Fock-space) showing
the insensitivity to chiral symmetry breaking. As has recently been understood,
this leads to doubling between two hadrons of equal spin and opposite parity.
As a novelty we show that three-quark, for example Delta states, group into
quartets with two states of each parity, all four states having equal angular
momentum J. Diagonalizing the chiral charge expressed in terms of quarks we
show that the quartet is slightly split into two parity doublets by the tensor
force, all splittings decreasing to zero high in the spectrum. Our specific
calculation is for the family of maximum-spin excitations of the Delta baryon.
We provide a model estimate of the experimental accuracy needed to establish
Chiral Symmetry Restoration in the high spectrum.
  We suggest that a measurement of masses of high-partial wave Delta resonances
with an accuracy of 50 MeV should be sufficient to unambiguously establish the
approximate degeneracy, and test the concept of running quark mass in the
infrared.
