Phase coherence oscillation of holes in La2-x(Sr)xCuO4, dynamics of single holes in the CuO plane and the typical pairing time

Following the recently suggested vortex/antivortex-mediated pairing mechanism in La2-x(Sr)xCuO4, it is proposed here, as a possibility, that single holes, induced by low doping, reside in a symmetric double well potential (DWP), formed by the vortex/antivortex excitation. An oscillatory behaviour is then predicted, originating from the oscillation in the probability to find the hole in either of the potential wells. It is further shown that the existence of such a DWP excitation gives rise to a simple mechanism for the movement of a single hole within the antiferromagnetic background. The typical time for pairing is then calculated in terms of the barrier height of the DWP.