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Phys. Rev. C 76, 045501 (2007) [5 pages]

Exact relativistic β decay endpoint spectrum

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S. S. Masood1,*, S. Nasri2,†, J. Schechter3,‡, M. A. Tórtola4,§, J. W. F. Valle5,**, and C. Weinheimer6,††
1Department of Physics, 2700 Bay Area Boulevard, University of Houston Clear Lake, Houston, Texas 77058, USA
2Institute for Fundamental Theory, University of Florida, Gainesville, Florida, USA
3Department of Physics, Syracuse University, Syracuse, New York 13244-1130, USA
4Departamento de Física and CFTP, Instituto Superior Técnico, Avenida Rovisco Pais 1, P-1049-001 Lisboa, Portugal
5AHEP Group, Institut de Física Corpuscular–C.S.I.C./Universitat de València, Edificio Institutos de Paterna, Apartado 22085, E-46071 Valencia, Spain
6Institut für Kernphysik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Strasse 9, D-48149 Münster, Germany

Received 13 June 2007; published 5 October 2007

The exact relativistic form for the β decay endpoint spectrum is derived and presented in a simple factorized form. We show that our exact formula can be well approximated to yield the endpoint form used in the fit method of the KATRIN Collaboration. We also discuss the three-neutrino case and how information from neutrino oscillation experiments may be useful in analyzing future β decay endpoint experiments.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.76.045501
DOI:
10.1103/PhysRevC.76.045501
PACS:
14.60.Pq, 13.30.-a, 23.40.-s, 23.40.Bw

*masood@uhcl.edu

†snasri@ufl.edu

‡schechte@phy.syr.edu

§mariam@cftp.ist.utl.pt

**valle@ific.uv.es

††weinheimer@uni-muenster.de

 
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