A Break in the Highest Energy Cosmic Ray Spectrum: A Signature of New Physics?

Abstract

Recent experimental data from the Fly's Eye and the Akeno array seem to indicate significant structure in the ultrahigh energy cosmic ray spectrum above $10^{18}\eV$. A statistically significant dip has been established at about $5\times10^{18}\eV$. In addition, each experiment observed a different superhigh energy event above $10^{20}\eV$ separated from the rest of the data by about half a decade in energy. In this article we discuss what this implies for the existence or non-existence of the ``Greisen-Zatsepin-Kuz'min cutoff'', a long lasting and still open question in cosmic ray physics. This cutoff, caused by energy losses in the cosmic microwave background, is predicted to occur at a few times $10^{19}\eV$ if cosmic rays are produced by shock acceleration of lower energy particles at extragalactic distances. We show that from the spectral point of view, sources nearer than a few $\Mpc$ are still consistent with the data at the $1σ$ level, provided these sources accelerate particles beyond $3\times10^{20}\eV$. However, persistence of the apparent gap in the existing data at the level of a 4 times higher total exposure would rule out a wide range of acceleration models at $98\%$ C.L., whether they rely on nearby or extragalactic sources. This might hint to the existence of a ``top down'' mechanism which produces an additional hard component of ultrahigh energy particles directly, say, by decay from some higher energy scale in contrast to bottom up acceleration of charged particles. In this scenario a cutoff followed by a pronounced spectral flattening and possibly even a gap could naturally be formed.