Abstract.
We construct and apply to \(\beta \) decays a truly neutral local quantum field that is entirely based upon momentum space Majorana spinors. We make the observation that theory with momentum space Majorana spinors of real C parities is equivalent to Dirac’s theory. For imaginary C parities, the neutrino mass can drop out from the single \(\beta \) decay trace and reappear in \(0\nu \beta\beta \), a curious and in principle experimentally testable signature for a non-trivial impact of Majorana framework in polarization experiments.
Similar content being viewed by others
References
M.E. Peskin, D.V. Schroeder, An Introduction to Quantum Field Theory (Westview Press, New York, 1995) pp. 68-76.
E. Majorana, Nuovo Cimento 14, 171 (1937).
B. Kayser, F. Gibat-Debu, F. Perrier, The Physics of Massive Neutrinos\/, Lect. Notes Phys. Vol. 25 (World Scientific, Singapore, 1989).
E.D. Commins, P.H. Bucksbaum, Weak Interactions of Leptons and Quarks (Cambridge University Press, 1983).
B. Kayser, Phys. Rev. D 30, 1023 (1984).
M. Kirchbach, C. Jasso, L. Noriega, Neutral fermion phenomenology with Majorana spinors\/, E-Print Archive: hep-ph/0310297.
P. Ramond, Field Theory: A Modern Primer (Addison-Wesley, Redwood City, CA, 1989) p. 20.
Fayyazudin, Riazuddin, A Modern Introduction to Particle Physics\/ (World Scientific, Singapore, 2000) pp. 325-330, Appendix A.8.
Stefan Pokorski, Gauge Field Theories, 2nd edition (Cambridge University Press, 2000) pp. 26-29.
S.M. Bilenky, B.M. Pontecorvo, Phys. Rep. 42, 224 (1978).
S. Esposito, N. Tancredi, Eur. Phys. J. C 4, 221 (1998).
J. Hladik, Spinors in Physics\/ (Springer-Verlag, New York, 1999).
M. Kirchbach, D.V. Ahluwlaia, Phys. Lett. B 529, 124 (2002).
D.V. Ahluwalia, Int. J. Mod. Phys. A 11, 1855 (1996); D.V. Ahluwalia, T. Goldman, M.B. Johnson, Acta Phys. Pol. B 25, 1267 (1994).
V.V. Dvoeglazov, Int. J. Theor. Phys. 34, 2467 (1995).
Judah Eisenberg, Walter Greiner, Nuclear Theory\/, Vol. 2 (North Holland Publ. Comp., Amsterdam, London, 1970) Chapt. 9.
J. Bonn et al. \/, Nucl. Phys. B 91, 273 (2001); J. Bonn, in Particles and Fields\/, edited by J.L. Diaz-Cruz, J. Engelfried, M. Kirchbach, M. Mondragon, AIP Conf. Proc. 623, 189 (2002).
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by G. Orlandini
Received: 11 November 2003, Revised: 20 April 2004, Published online: 12 October 2004
PACS:
11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries - 14.60.St Non-standard-model neutrinos, right-handed neutrinos, etc.
Rights and permissions
About this article
Cite this article
Kirchbach, M., Compean, C. & Noriega, L. Beta decays with momentum space Majorana spinors. Eur. Phys. J. A 22, 149–155 (2004). https://doi.org/10.1140/epja/i2003-10230-0
Issue Date:
DOI: https://doi.org/10.1140/epja/i2003-10230-0