Statistical deconvolution of beta spectra: implications for neutrino mass detection

We performed a Monte-Carlo simulation study of β-spectrum of 35S. A statistical deconvolution of the spectrum was then developed to address a priori detectability of heavy neutrino (such as the much-discussed 18 keV) in calorimetric β- measurements. We describe the influence of detector energy resolution and other response parameters on the distortions in the β- spectrum and possible neutrino mass detection. A design of a Xe gas-scintillation proportional detector for precision β- spectroscopy is described. (author)