Search for the proton decay p{yields}K{sup +}{nu} in the large liquid scintillator low energy neutrino astronomy detector LENA

The LENA (Low Energy Neutrino Astronomy) detector is proposed to be a large-volume liquid-scintillator device which will be highly suitable for the investigation of a variety of topics in astrophysics, geophysics and particle physics. In this paper, the potential of such a detector concerning the search for proton decay in the SUSY favored decay channel p{yields}K{sup +}{nu} is investigated. Based on Geant4, Monte Carlo simulations of the proton decay in the LENA detector as well as of the background radiation in the detection energy windows have been developed. From these simulations an efficiency of 65% for the detection of a possible proton decay has been determined. Within ten years of measuring time a lower limit for the proton lifetime, concerning the decay channel investigated, of {tau}>4x10{sup 34} y could be reached.