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Recent photoemission experiments have measured E vs. k for a single holepropa- gating in antiferromagnetically aligned Sr_2CuO_2Cl_2. Comparisons with(i) the t - t' - J model, for which the carrier is a spinless vacancy, and (ii)a strong-coupling version of the three-band Emery model, for which the carrieris a S = 1/2 hole moving on the Oxygen sublattice, have demonstrated that ifone wishes to describe the quasiparticle throughout the entire first Brillouinzone the three-band model is superior. Here we present a new variational wavefunc- tion for a single Oxygen hole in the three-band model: it utilizes aclassical representation of the antiferromagnetically ordered Cu-spinbackground but explicitly includes the quantum fluctuations of the lowestenergy doublet of the Cu-O-Cu bond containing the Oxygen hole. We find thatthis wave function leads to a quasiparticle dispersion for physical exchangeand hopping parame- ters that is in excellent agreement with the measured ARPESdata. We also obtain the average spin of the Oxygen hole, and thus deduce thatthis spin is only quenched to zero at certain wave vectors, helping to explainthe inadequacy of the t - t' - J model to match the experimentally observeddisper- sion relation everywhere in the first Brillouin zone.Comment: 18 pages, RevTeX, 4 Postscript figures. uuencoded. Submitted to Z.  Phys.

Theory of a single Oxygen hole propagating in Sr2CuO2Cl2: the spin of the quasiparticles in CuO2 planes