Skip to main content
Log in

Neutral particles in light of the Majorana-Ahluwalia ideas

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The first part of this article presents an overview of the theory and phenomenology of truly neutral particles based on the papers of Majorana, Racah, Furry, McLennan, and Case. The recent development of the construct undertaken by Ahluwalia could be relevant for the explanation of the present experimental situation in neutrino physics and astrophysics. Then the new fundamental wave equations for self-/anti-self-conjugate type II spinors proposed by Ahluwalia are recast into covariant form. The connection with Foldy-Nigam-Bargmann-Wightman-Wigner (FNBWW)-type quantum field theory is found. Possible applications to the problem of neutrino oscillations are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Adriani, O.,et al. (1992),Physics Letters B,292, 463.

    Google Scholar 

  • Ahluwalia, D. V. (1994a). Incompatibility of self-charge conjugation with helicity eigenstates and gauge interactions, Preprint LA-UR-94-1252 (hep-th/9404100), Los Alamos, April 1994.

  • Ahluwalia, D. V. (1994b). McLennan-Case construct for neutrino, its generalization and a fundamentally new wave equation, Preprint LA-UR-94-3118 (hep-th/9409134), Los Alamos, September 1994.

  • Ahluwalia, D. V., and Ernst, D. J. (1992).Modern Physics Letters A,7, 1967.

    Google Scholar 

  • Ahluwalia, D. V., and Goldman, T. (1993).Modern Physics Letters A,8, 2623.

    Google Scholar 

  • Ahluwalia, D. V., Johnson, M. B., and Goldman, T. (1993).Physics Letters B,316, 102.

    Google Scholar 

  • Ahluwalia, D. V., Johnson, M. B., and Goldman, T. (1994a).Modern Physics Letters A,9, 439.

    Google Scholar 

  • Ahluwalia, D. V., Johnson, M. B., and Goldman, T. (1994b).Acta Physica Polonica B,25, 1267.

    Google Scholar 

  • Akhmedov, E. Kh. (1994). Atmospheric neutrinos, Preprint FTUV-94-09 (hep-ph/9402297), Valencia, October 1993.

  • Akhmedov, E. Kh., Petcov, S. T., and Smirnov, A. Yu. (1993).Physics Letters B,309, 95.

    Google Scholar 

  • Anon (1994). Proceedings of the 16th International Conference “Neutrino '94,”Nuclear Physics B Proceedings Supplement,35.

  • Ashman, J.,et al. (1988).Physics Letters,206B, 364.

    Google Scholar 

  • Babu, K. S., and Mohapatra, R. N. (1989).Physical Review Letters,63, 938.

    Google Scholar 

  • Balysh, A.,et al. (1992).Physics Letters B,283, 32.

    Google Scholar 

  • Balysh, A.,et al. (1994).Physics Letters B,322, 176.

    Google Scholar 

  • Bandyopadhyay, P. (1968a).Physical Review,173, 1481.

    Google Scholar 

  • Bandyopadhyay, P. (1968b).Nuovo Cimento,55A, 367.

    Google Scholar 

  • Barr, S. M., Chang, D., and Senjanovic, G. (1991).Physical Review Letters,67, 2765.

    Google Scholar 

  • Barut, A. O., Muzinich, I., and Williams, D. (1963).Physical Review,130, 442.

    Google Scholar 

  • Belinfante, F. J. (1939).Physica,6, 849, 870, 877.

    Google Scholar 

  • Belinfante, F. J., and Pauli, W. (1940).Physica,7, 177.

    Google Scholar 

  • Bilen'kii, S. M. (1987).Fizika Elementarnykh Chastits i Atomnogo Yadra,18, 449 [Soviet Journal of Particles and Nuclei,18, 188 (1987)].

    Google Scholar 

  • Bilen'kii, S. M., and Petcov, S. T. (1987).Review of Modern Physics,59, 671.

    Google Scholar 

  • Bilen'kii, S. M., and Petcov, S. T. (1989).Review of Modern Physics,61, 169E.

    Google Scholar 

  • Bilen'kii, S. M., and Ponteciorvo, B. (1977).Uspekhi Fizicheskikh Nauk,123, 181 [Soviet Physics-Uspekhi,20, 776 (1977)].

    Google Scholar 

  • Bilen'kii, S. M., and Ponteciorvo, B. (1978).Physics Reports,41C, 225.

    Google Scholar 

  • Bilenky, S. M., and Pontecorvo, B. (1976a).Physics Letters B,61, 248.

    Google Scholar 

  • Bilenky, S. M., and Pontecorvo, B. (1976b).Lettere al Nuovo Cimento,17, 569.

    Google Scholar 

  • Binney, J., and Tremaine, S. (1987).Galactic Dynamics, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  • Bolotov, V. N.,et al. (1990).Physics Letters,243B, 308.

    Google Scholar 

  • Boris, S.,et al. (1987).Physical Review Letters,58, 2019.

    Google Scholar 

  • Brana, J., and Ljole, K. (1980).Fizika,12, 287.

    Google Scholar 

  • Case, K. M. (1957).Physical Review,107, 307.

    Google Scholar 

  • Chizhov, M. V. (1993).Modern Physics Letters A,8, 2753.

    Google Scholar 

  • Chizhov, M. V., and Avdeev, L. V. (1994).Physics Letters,321B, 212.

    Google Scholar 

  • Doi, M.,et al. (1983).Progress of Theoretical Physics,70, 1331.

    Google Scholar 

  • Dorokhov, A. E., Kochelev, N. I., and Zubov, Yu. A. (1993).International Journal of Modern Physics A,8, 603.

    Google Scholar 

  • Dvoeglazov, V. V. (1993a).Hadronic Journal,16, 423.

    Google Scholar 

  • Dvoeglazov, V. V. (1993b).Hadronic Journal,16, 459.

    Google Scholar 

  • Dvoeglazov, V. V. (1994a).Revista Mexicana de Fisica, Suplemento,40, 352.

    Google Scholar 

  • Dvoeglazov, V. V. (1994b). Mapping between antisymmetric tensor and Weinberg formulations, Preprint EFUAZ FT-94-05 (hep-th/9408077), Zacatecas, August 1994.

  • Dvoeglazov, V. V. (1994c). What particles are described by the Weinberg theory, Preprint EFUAZ FT-94-06 (hep-th/9408146), Zacatecas, August 1994.

  • Dvoeglazov, V. V. (1994d). The Weinberg propagators, Preprint EFUAZ FT-94-07 (hep-th/9408176), Zacatecas, August 1994.

  • Dvoeglazov, V. V. (1994e). Can the Weinberg-Tucker-Hammer equations describe the electromagnetic field? Preprint EFUAZ FT-94-09-REV (hep-th/9410174), Zacatecas, October 1994.

  • Dvoeglazov, V. V. (1994f). A note on the Majorana theory forj=1/2 andj=1 particle states, Preprint EFUAZ FT-94-10, December 1994 [reported at the XVIII Oaxtepec Symposium on Nuclear Physics, January 1995].

  • Dvoeglazov, V. V., and Khudyakov, S. V. (1994).Izvestiya Vysshikh Uchebnykh Zavedenii. Seriya Fizika,9, 110 [Russian Physics Journal,37, 898 (1994)].

    Google Scholar 

  • Eliezer, S., and Swift, A. (1976).Nuclear Physics B,105, 45.

    Google Scholar 

  • Faustov, R. N. (1971). Relativistic transformations of one-particle wave functions, Preprint ITF-71-117P, Kiev, September 1971 [in Russian].

  • Fermi, E. (1934).Nuovo Cimento,11, 1.

    Google Scholar 

  • Feynman, R. P. (1949).Physical Review,76, 749.

    Google Scholar 

  • Foot, R. (1994a). Experimental signature of a massive mirror photon, Preprint McGill-94-36-REV (hep-ph/9407331), McGill, July 1994.

  • Foot, R. (1994b).Modern Physics Letters A,9, 169.

    Google Scholar 

  • Foot, R., Lew, H., and Volkas, R. R. (1993a).Journal of Physics G,19, 361.

    Google Scholar 

  • Foot, R., Lew, H., and Volkas, R. R. (1993b).Journal of Physics G,19, 1067.

    Google Scholar 

  • Fritzsch, H., and Minkowski, P. (1976).Physics Letters B,62, 72.

    Google Scholar 

  • Fukuda, Y.,et al. (1994).Physics Letters,335B, 237.

    Google Scholar 

  • Furry, W. H. (1938).Physical Review,54, 56.

    Google Scholar 

  • Furry, W. H. (1939).Physical Review,56, 1184.

    Google Scholar 

  • Gell-Mann, M., and Pais, A. (1955).Physical Review,97, 1387.

    Google Scholar 

  • Gelmini, G., and Roulet, E. (1994). Neutrino masses, Preprint UCLA/94/TEP/36 (hep-ph/9412278), Los Angeles, December 1994;Reports on Progress in Physics, to appear.

  • Giveon, A., and Witten, E. (1994).Physics Letters B,332, 44.

    Google Scholar 

  • Gribov, V., and Pontecorvo, B. (1969).Physics Letters,28B, 493.

    Google Scholar 

  • Griest, K. (1994). The particle- and astro-physics of dark matter, Preprint UCSD-PTH-94-20 (astro-ph/9411038), San Diego, June 1994.

  • Halprin, A.,et al. (1976).Physical Review D,13, 2567.

    Google Scholar 

  • Hayashi, K. (1973).Physics Letters B,44, 497.

    Google Scholar 

  • Hughes, I. S. (1991).Elementary Panicles, 3rd ed., Cambridge University Press, Cambridge, §15.4.

    Google Scholar 

  • Ignatiev, A. Yu., and Joshi, G. C. (1993).Physical Review D,48, 4481.

    Google Scholar 

  • Ignatiev, A. Yu., and Joshi, G. C. (1994a).Modern Physics Letters A,9, 1479.

    Google Scholar 

  • Ignatiev, A. Yu., and Joshi, G. C. (1994b). Nonzero electric charge of the neutrino and the solar neutrino problem, Preprint UM-P-94/73, RCHEP-94/21 (hep-ph/9407346), Melbourne, July 1994.

  • Kalb, M., and Ramond, P. (1974).Physical Review D,9, 2273.

    Google Scholar 

  • Kayser, B. (1985).Comments on Nuclear and Particle Physics,14, 69.

    Google Scholar 

  • Konopinski, E. J., and Uhlenbeck, G. E. (1935).Physical Review,48, 7.

    Google Scholar 

  • Kuo, T. K., and Pantaleone, J. (1989).Review of Modern Physics,61, 937.

    Google Scholar 

  • Landau, L. (1957a).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki,32, 407 [Soviet Physics-JETP,5, 337 (1957)].

    Google Scholar 

  • Landau, L. (1957b).Nuclear Physics,3, 127.

    Google Scholar 

  • Langacker, P. (1994). Solar neutrinos, Preprint UPR-0640-T (hep-ph/9411339), University of Pennsylvania, November 1994.

  • Lee, T. D., and Yang, C. N. (1957).Physical Review,105, 1671.

    Google Scholar 

  • Lyubimov, V. A. (1989). InProceedings International Conference on Neutrino Physics and Astrophysics “Neutrino '88”, J. Schnepset al., eds., World Scientific, Singapore, p. 2.

    Google Scholar 

  • Majorana, E. (1937).Nuovo Cimento,14, 171 [English translation, D. A. Sinclair, Technical Translation TT-542, National Research Council of Canada].

    Google Scholar 

  • Maki, Z., Nakagawa, M., and Sakata, S. (1962).Progress of Theoretical Physics,28, 870.

    Google Scholar 

  • Mannheim, P. D. (1984).International Journal of Theoretical Physics,23, 643.

    Google Scholar 

  • Markov, M. A. (1937).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki,7, 603.

    Google Scholar 

  • Markov, M. A. (1963). About two types of the Dirac field, Preprint JINR D-1345, Dubna, 1963.

  • Markov, M. A. (1964).Neutrino, Nauka, Moscow.

    Google Scholar 

  • McLennan, J. A. (1957).Physical Review,106, 821.

    Google Scholar 

  • Mikheyev, S. P., and Smirnov, A. Yu. (1986a).Soviet Journal of Nuclear Physics,42, 913.

    Google Scholar 

  • Mikheyev, S. P., and Smirnov, A. Yu. (1986b).Soviet Physics-JETP,64, 4.

    Google Scholar 

  • Mikheyev, S. P., and Smirnov, A. Yu. (1986c).Nuovo Cimento,9C, 17.

    Google Scholar 

  • Morrison, D. R. O. (1994). The steady vanishing of three solar neutrino problems, Preprint CERN-PPE/94-125, August 1994.

  • Nigam, B. P., and Foldy, L. L. (1956).Physical Review,102, 1410.

    Google Scholar 

  • Novozhilov, Yu. V. (1975).Introduction to Elementary Particle Theory, Pergamon Press, Oxford.

    Google Scholar 

  • Pais, A., and Piccioni, O. (1955).Physical Review,100, 1487.

    Google Scholar 

  • Piccard, A., and Kessler, E. (1925).Arch. Sci. Phys. Nat. 7, 340.

    Google Scholar 

  • Pontecorvo, B. M. (1957).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki,33, 549 [Soviet Physics-JETP,6, 429 (1958)].

    Google Scholar 

  • Pontecorvo, B. M. (1958).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki,34, 247 [Soviet Physics-JETP,7, 172 (1958)].

    Google Scholar 

  • Pontecorvo, B. M. (1967).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki,53, 171 [Soviet Physics-JETP,26, 984 (1968)].

    Google Scholar 

  • Pontecorvo, B. (1971).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, Pisma,13, 281 [JETP Letters,13, 199 (1971)].

    Google Scholar 

  • Racah, G. (1937).Nuovo Cimento,14, 322.

    Google Scholar 

  • Rembieliński, J. (1994a). Quantization of the tachyonic field, Preprint KFT UL 2/94 (hep-th/9410079). Lódź, October 1994.

  • Rembieliński, J. (1994b). Tachyonic neutrinos? Preprint KFT UL 5/94 (hep-th/9411230), Lódź, November 1994.

  • Robertson, R. G. H. (1993). InProceedings Dallas HEP Conference, American Institute of Physics, New York, p. 140.

    Google Scholar 

  • Rolnick, W. B. (1994).The Fundamental Particles and Their Interactions, Addison-Wesley, Massachusetts, Chapter 18.

    Google Scholar 

  • Rosen, S. P. (1992). Double beta decay, Preprint UTAPHY-HEP-4 (hep-ph/9210202), Arlington, September 1992.

  • Ryan, G., and Okubo, S. (1964).Nuovo Cimento, Supplemento,2, 234.

    Google Scholar 

  • Ryder, L. H. (1992).Quantum Field Theory, Cambridge University Press, Cambridge, §2.3.

    Google Scholar 

  • Salam, A. (1957).Nuovo Cimento,5, 299.

    Google Scholar 

  • Sankaranarayanan, A. (1965).Nuovo Cimento,38, 889.

    Google Scholar 

  • Sankaranarayanan, A., and Good, R. H., Jr. (1965a).Nuovo Cimento,36, 1303.

    Google Scholar 

  • Sankaranarayanan, A., and Good, R. H., Jr. (1965b).Physical Review B,140, 509.

    Google Scholar 

  • Serpe, J. (1952).Physica,18, 295.

    Google Scholar 

  • Sokolik, G. A. (1957).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki,33, 1515 [Soviet Physics-JETP,6, 1170 (1958)].

    Google Scholar 

  • Sokolov, A. A. (1957).Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki,33, 794 [Soviet Physics-JETP,6, 611 (1958)].

    Google Scholar 

  • Steigman, O.,et al. (1986).Physics Letters B,176, 33.

    Google Scholar 

  • Stückelberg, E. C. G. (1941).Helvetica Physica Acta,14, 32L, 588.

    Google Scholar 

  • Tucker, R. H., and Hammer, C. L. (1971).Physical Review D,3, 2448.

    Google Scholar 

  • Weinberg, S. (1964a).Physical Review B,133, 1318.

    Google Scholar 

  • Weinberg, S. (1964b).Physical Review B,134, 882.

    Google Scholar 

  • Weinberg, S. (1969).Physical Review B,181, 1893.

    Google Scholar 

  • Weinhammer, C.,et al. (1993).Physics Letters,300B, 210.

    Google Scholar 

  • Wigner, E. P. (1939).Annals of Mathematics,40, 149.

    Google Scholar 

  • Wigner, E. P. (1962). InGroup Theoretical Concepts and Methods in Elementary Particle Physics—Lectures of the Istanbul Summer School of Theoretical Physics, 1962, F. Gürsey, ed.

  • Wolfenstein, L. (1978).Physical Review D,17, 2369.

    Google Scholar 

  • Wolfenstein, L. (1981).Physics Letters B,107, 77.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

On leave of absence from Department of Theoretical and Nuclear Physics, Saratov State University, Saratov, Russia. E-mail: dvoeglazov@mainl.jinr.dubna.su.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dvoeglazov, V.V. Neutral particles in light of the Majorana-Ahluwalia ideas. Int J Theor Phys 34, 2467–2490 (1995). https://doi.org/10.1007/BF00670779

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00670779

Keywords

Navigation