A simple model is proposed to explain the recently found wave-like enhancement of the
ΛΛˉ pair production near the threshold at the
e−e+ annihilation, which allows extracting model-independent scattering parameters and spectral information for the
ΛΛˉ pair from the oscillatory nature of the measured cross section. In particular, it predicts a single bound state of
ΛΛˉ with a binding energy of
εΛΛˉ=(36±5)MeV. The model is a generalization of the formulas obtained in our earlier work [1] to explain the effect of wave-like amplification found in it near the threshold of fusion reactions screened by a muon or electron. The analysis allows us to conclude that the effect of wave-like amplification is an integral feature of any two-particle near-threshold reaction. In this regard, it seems promising to investigate, within the framework of our model, the oscillatory nature of the electromagnetic form factors of hyperons and nucleons extracted in experiments on
e−e+ annihilation. A natural further development of the model could be its generalization to processes of producing various hadron pairs in
e−e+ annihilation.
We consider a situation in which observations themselves can significantly increase a particle transmission probability through a high barrier compared with the particle tunneling probability (a barrier anti-Zeno effect). This may explain the results of cold fusion experiments that have been reported by other authors for various systems. We examine the anti-Zeno effect as a model of a barrier of a special shape, which is similar to the form of barriers to nuclear fusion in a solid, and moreover, has an analytic solution. We have deduced formulas that demonstrate conditions that increase the barrier permeability. Numerical estimates of the particle flows through the barrier are carried out for the conditions of cold fusion experiments.