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Integral Equations in Neutrino Mass Searches from Beta Decay

2019
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Journal of Applied Mathematics and Physics
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A new mathematical model for elucidating neutrino mass from beta decay is proposed. It is based upon the solutions of transformed Fredholm and Abel integral equations. In principle, theoretical beta-particle spectra can consist of several neutrino-mass eigenstates. Integration of the beta spectrum with a normalized instrumental response function results in the Fredholm integral equation of the first kind. This equation is then transformed to yield a solution in a form of superposition of

doi:10.4236/jamp.2019.71004
fatcat:6p5skoxjxvdttg4symlipffiq4