Physical Interpretation of the Dirac Neutrino with Electromagnetic Mass

Héctor Torres-Silva

Escuela de Ingeniería Eléctrica Electrónica, Universidad de Tarapacá, Arica, Chile.

DOI: 10.4236/jemaa.2013.57046                

Abstract

The usual choice of an orthogonal set of four plane-wave solutions of the free-particle Dirac equation does not lend itself readily to direct and complete physical interpretation in the case of Dirac neutrino particle. A different choice of solutions can be made which yields a direct physical interpretation at all energies. Besides the separation of positive and negative energy states there is a further separation of states for which the spin is respectively parallel or antiparallel to the direction of the momentum vector. This can be obtained from the Maxwell’s equation without charges and current in the configuration. Scenery of our study is at high temperature T where coexist electron-positron pair and neutrino-antineutrino pair, (i.e., T≥1 MeV). Taking into consideration the possibility of negative mass, we can describe the observed behavior of antimatter in response to electromagnetic fields by assuming that the anti Dirac neutrino has a negative mass, so a new causal symmetry can be obtained.

Keywords

Chiral Neutrino; Dirac Equation; Maxwell System

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	G. Drexlin, et al., “Current Direct Neutrino Mass Ex periments,” Advances in High Energy Physics Vol. 2013, 2013, Article ID: 293986. doi:10.1155/2013/293986
[2]	J. Lesgourgues and S. Pastor, “Massive Neutrinos and Cosmology,” Physics Reports, Vol. 429, No. 6, 2006, pp. 307-379. doi:10.1016/j.physrep.2006.04.001
[3]	A. Cho, “The Sterile Neutrino: Fertile Concept or Dead End?” Science, Vol. 334, No. 6054, 2011, pp. 304-306. doi:10.1126/science.334.6054.304
[4]	D. V. Forero, M. Tortola and J. W. F. Valle, “Global Status of Neutrino Oscillation Parameters after Neutrino 2012,” Physical Review D, Vol. 86, No. 7, 2012, Article ID: 073012.. doi:10.1103/PhysRevD.86.073012
[5]	G. L. Fogli, E. Lisi, A. Marrone, D. Montanino, A. Palazzo and A. M. Rotunno, “Global Analysis of Neutrino Masses, Mixings, and Phases: Entering the Era of Leptonic CP Violation Searches,” Physical Review D, Vol. 86, No. 1, 2012, Article ID: 013012.
[6]	M. C. Gonzalez-Garcia and M. Maltoni, “Phenomenology with Massive Neutrinos,” Physics Reports, Vol. 460, No. 1-3, 2008, pp. 1-129. doi:10.1016/j.physrep.2007.12.004
[7]	A. G. Cohen, S. L. Glashow and Z. Ligeti, “Disentangling Neutrino Oscillations,” Physics Letters B, Vol. 678, No. 2, 2009, pp. 191-196. doi:10.1016/j.physletb.2009.06.020
[8]	Z. Maki, M. Nakagawa and S. Sakata, “Remarks on the Unified Model of Elementary Particles,” Progress of Theoretical Physics, Vol. 28, No. 5, 1962, pp. 870-880. doi:10.1143/PTP.28.870
[9]	J. W. F. Valle, “Neutrino Physics Overview,” Journal of Physics: Conference Series, Vol. 53, No. 1, 2006, p. 473. doi:10.1088/1742-6596/53/1/031
[10]	S. M. Neamtan, “On the Physical Interpretation of Solutions of the Dirac Equation for a Free Particle,” American Journal of Physics, Vol. 20, No. 7, 1952, pp. 450-451. doi:10.1119/1.1933275
[11]	P. A. M. Dirac, “A Theory of Electrons and Protons,” Proceedings of the Royal Society A, Vol. 126, No. 801, 1930, pp. 360-365. doi:10.1098/rspa.1930.0013
[12]	P. A. M. Dirac, “Theory of Electrons and Positrons,” Nobel Lecture, December 12, 1933.
[13]	W. Pauli, “The Connection between Spin and Statistics,” Physical Review, Vol. 58, No. 8, 1940, pp. 716-730. doi:10.1103/PhysRev.58.716
[14]	C. D. Anderson, “The Apparent Existence of Easily Def lectable Positives,” Science, Vol. 76, No. 1967, 1932, pp. 238-239. doi:10.1126/science.76.1967.238
[15]	C. D. Anderson, “The Positive Electron,” Physical Re view, Vol. 43, 1933, pp. 491-494. doi:10.1103/PhysRev.43.491
[16]	C. D. Anderson, “The Discovery of Antimatter,” World Scientific, Singapore, 1999.
[17]	C. Chu and T. Ohkawa, “Transverse Electromagnetic Waves with E B” Physical Review Letters, Vol. 48, 1982, pp. 837-838. doi:10.1103/PhysRevLett.48.837
[18]	H. Zaghloul, H. A. Buckmaster and K. Volk, “Comment on ‘Invariants of the Electromagnetic Field and Electromagnetic Waves’,” American Journal of Physics, Vol. 56, No. 3, 1988, p. 274. doi:10.1119/1.15664
[19]	H. Torres-Silva, “Chiral Transverse Electromagnetic Standing Waves with E II H in the Dirac Equation and the Spectra of the Hydrogen Atom,” In: A. Akdagli, Ed., Behavior of Electromagnetic Waves in Different Media and Structures, Book Intech, 2011, pp. 301-324.
[20]	H. Torres-Silva and D. Torres, “Chiral Current in a Graphene Battery,” Journal of Electromagnetic Analysis and Applications, Vol. 4, No. 10, 2012, pp 426-431. doi:10.4236/jemaa.2012.410059
[21]	H. Torres-Silva, “Chiral Dirac Equation Derived from Quaternionic Maxwell’s Systems,” Journal of Electromagnetic Analysis and Applications, Vol. 5, No. 3, 2013. doi:10.4236/jemaa.2013.53017
[22]	C. Itzykson and J.-B. Zuber, “Quantum Field Theory,” McGraw-Hill, New York, 1980.
[23]	P. M. A. Dirac, “The Quantum Theory of the Electron,” Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 117, No. 778, 1928, pp. 610-617.
[24]	E. Majorana, “Teoria Simmetrica Dell’ Elettrone E Del Positrone,” Il Nuovo Cimento, Vol. 14, No. 4, 1937, pp. 171-184. doi:10.1007/BF02961314
[25]	W. Pauli, “Zur Quantenmechanik des Magnetischen Elektrons,” Zeitschrift für Physik A Hadrons and Nuclei, Vol. 43, No. 9-10, 1927, pp. 601-623. doi:10.1007/BF01397326
[26]	C. Giunti and C. W. Kim, “Fundamentals of Neutrino Physics and Astrophysics,” Oxford University Press, Ox ford, 2007.
[27]	S. Bilenky, “Introduction to the Physics of Massive and mixed Neutrinos,” Lecture Notes in Physics, Vol. 817, 2010. doi:10.1007/978-3-642-14043-3
[28]	N. F. Bell, et al., “How Magnetic Is the Dirac Neutrino?” Physical Review Letters, Vol. 95, No. 15, 2005, Article ID: 151802. doi:10.1103/PhysRevLett.95.151802
[29]	A. Studenikin, “Neutrino Magnetic Moment,” Nuclear Physics B, Vol. 188, 2009, pp. 220-222. doi:10.1016/j.nuclphysbps.2009.02.053
[30]	E. Fermi and C. N. Yang, “Are Mesons Elementary Particles?” Physical Review, Vol. 76, No. 12, 1949, pp. 1739-1743. doi:10.1103/PhysRev.76.1739