Abstract
Neutrinoless double-beta decay is a very important process both from the particle and nuclear physics point of view. From the elementary particle point of view, it pops up in almost every model, giving rise among others to the following mechanisms: (a) the traditional contributions like the light neutrino mass mechanism as well as the j L –j R leptonic interference (λ and η terms), (b) the exotic R-parity-violating supersymmetric (SUSY) contributions. Thus, its observation will severely constrain the existing models and will signal that the neutrinos are massive Majorana particles. From the nuclear physics point of view, it is challenging, because (1) the nuclei, which can undergo double-beta decay, have complicated nuclear structure; (2) the energetically allowed transitions are suppressed (exhaust a small part of all the strength); (3) since in some mechanisms the intermediate particles are very heavy one must cope with the short distance behavior of the transition operators (thus novel effects, like the double-beta decay of pions in flight between nucleons, have to be considered; in SUSY models, this mechanism is more important than the standard two-nucleon mechanism; and (4) the intermediate momenta involved are quite high (about 100 MeV/c). Thus one has to take into account possible momentum-dependent terms of the nucleon current, like modification of the axial current due to PCAC, weak magnetism terms, etc. We find that, for the mass mechanism, such modifications of the nucleon current for light neutrinos reduce the nuclear matrix elements by about 25%, almost regardless of the nuclear model. In the case of heavy neutrino, the effect is much larger and model-dependent. Taking the above effects into account, the needed nuclear matrix elements have been obtained for all the experimentally interesting nuclei A=76, 82, 96, 100, 116, 128, 130, 136, and 150. Then, using the best presently available experimental limits on the half-life of the 0νββ decay, we have extracted new limits on the various lepton-violating parameters. In particular, we find 〈m ν〉 < 0.3 eV/c 2, and, for reasonable choices of the parameters of SUSY models in the allowed SUSY parameter space, we get a stringent limit on the R-parity-violating parameter λ′111<4.0×10−4.
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References
W. Furry, Phys. Rev. 56, 1184 (1939).
H. Primakoff, Phys. Rev. 85, 888 (1952); H. Primakoff and S. P. Rosen, Phys. Rev. 184, 1925 (1969); Proc. R. Soc. London 78, 464 (1961).
M. Doi, T. Kotani, N. Nishiura, et al., Phys. Lett. B 103, 219 (1981); erratum: 113, 513 (1982).
W. C. Haxton and G. S. Stephenson, Prog. Part. Nucl. Phys. 12, 409 (1984).
M. Doi, T. Kotani, and E. Takasugi, Prog. Theor. Phys. Suppl. 83, 1 (1985).
J. D. Vergados, Phys. Rep. 133, 1 (1986).
T. Tomoda et al., Rep. Prog. Phys. 54, 53 (1991).
J. Suhonen and O. Civitarese, Phys. Rep. 300, 123 (1998).
A. Faessler and F. Šimkovic, J. Phys. G 24, 2139 (1998).
J. Schechter and J. W. F. Valle, Phys. Rev. D 25, 2951 (1982).
R. N. Mohapatra, hep-ph/9808284.
G. Pantis, F. Šimkovic, J. D. Vergados, and A. Faessler, Phys. Rev. C 53, 695 (1996).
R. N. Mohapatra, Phys. Rev. D 34, 3457 (1986).
J. D. Vergados, Phys. Lett. B 184, 55 (1987).
M. Hirsch, H. V. Klapdor-Kleingrothaus, and S. G. Kovalenko, Phys. Rev. Lett. 75, 17 (1995); Phys. Rev. D 53, 1329 (1996).
A. Wodecki, W. Kamiński, and S. Pagerka, Phys. Lett. B 413, 342 (1997).
A. Faessler, S. Kovalenko, F. Šimkovic, and J. Schwieger, Phys. Rev. Lett. 78, 183 (1997); Yad. Fiz. 61, 1329 (1998) [Phys. At. Nucl. 61, 1229 (1998)].
A. Faessler, S. Kovalenko, and F. Šimkovic, Phys. Rev. D 58, 115004 (1998).
A. Faessler, S. Kovalenko, and F. Šimkovic, Phys. Rev. D 58, 055004 (1998).
J. D. Vergados, Phys. Rev. C 24, 640 (1981).
J. D. Vergados, Phys. Rev. D 25, 914 (1982).
J. D. Vergados, Nucl. Phys. B 250, 618 (1985).
T. Tomoda, F. Faessler, K. W. Schmidt, and F. Grümmer, Phys. Lett. B 157, 4 (1985).
F. Šimkovic, G. Pantis, J. D. Vergados, and A. Faessler, Phys. Rev. C (in press).
F. Šimkovic, G. V. Efimov, M. A. Ivanov, and V. E. Lyubovitskij, Z. Phys. A 341, 193 (1992).
J. D. Vergados, Nucl. Phys. A 506, 842 (1990).
G. Pantis and J. D. Vergados, Phys. Lett. B 242, 1 (1990).
A. Faessler, W. A. Kamiński, G. Pantis, and J. D. Vergados, Phys. Rev. C 43, R21 (1991).
J. Suhonen, S. B. Khadkikar, and A. Faessler, Phys. Lett. B 237, 8 (1990); Nucl. Phys. A 529, 727 (1991).
J. D. Vergados, Phys. Rev. C 13, 865 (1976).
W. C. Haxton, G. S. Stephenson, and D. Strottman, Phys. Rev. D 25, 2360 (1982).
L. D. Skouras and J. D. Vergados, Phys. Rev. C 28, 2122 (1983).
L. Zhao, B. A. Brown, and W. A. Richter, Phys. Rev. C 42, 1120 (1990).
E. Caurier, A. Poves, and A. P. Zucker, Phys. Lett. B 252, 13 (1990).
J. Sinatkas, L. D. Skouras, D. Strottman, and J. D. Vergados, J. Phys. G 18, 1377 (1992).
L. Zhao and B. A. Brown, Phys. Rev. C 47, 2641 (1993).
J. Retamosa, E. Caurier, and F. Novacki, Phys. Rev. C 51, 371 (1995).
P. B. Radha et al., Phys. Rev. Lett. 76, 2642 (1996).
E. Caurier, F. Novacki, A. Poves, and J. Retamosa, Phys. Rev. Lett. 77, 1954 (1996).
H. Nakada, T. Sebe, and K. Muto, Nucl. Phys. A 607, 235 (1996).
J. Suhonen, P. C. Divari, L. D. Skouras, and I. D. Johnstone, Phys. Rev. D 55, 714 (1997).
S. E. Koonin, D. J. Dean, and K. Langacke, Phys. Rep. 278, 1 (1997).
P. Vogel and M. R. Zirnbauer, Phys. Rev. Lett. 57, 3148 (1986); J. Engel, P. Vogel, and M. R. Zirnbauer, Phys. Rev. C 37, 731 (1988).
O. Civitarese, A. Faessler, and N. Tomoda, Phys. Lett. B 194, 11 (1987).
K. Muto, E. Bender, and H. V. Klapdor, Z. Phys. A 334, 177 (1989); K. Muto and H. V. Klapdor, Phys. Lett. B 201, 420 (1988).
J. Engel, P. Vogel, X. D. Ji, and S. Pittel, Phys. Lett. B 225, 5 (1989).
A. A. Raduta, A. Faessler, S. Stoica, and W. A. Kamiński, Phys. Lett. B 254, 7 (1991).
A. Griffiths and P. Vogel, Phys. Rev. C 46, 181 (1992).
J. Suhonen and O. Civitarese, Phys. Lett. B 308, 212 (1993).
O. Civitarese and J. Suhonen, Nucl. Phys. A 575, 1111 (1994).
F. Šimkovic et al., Phys. Lett. B 393, 267 (1997); F. Šimkovic, J. Schwieger, G. Pantis, and A. Faessler, Found. Phys. 27, 1275 (1997).
F. Šimkovic, G. Pantis, and A. Faessler, Yad. Fiz. 61, 1318 (1998) [Phys. At. Nucl. 61, 1218 (1998)]; Prog. Part. Nucl. Phys. 40, 285 (1998).
M. K. Cheoun et al., Nucl. Phys. A 561, 74 (1993).
J. Toivanen and J. Suhonen, Phys. Rev. Lett. 75, 410 (1995).
J. Schwieger, F. Šimkovic, and A. Faessler, Nucl. Phys. A 600, 179 (1996).
J. D. Vergados, J. Phys. G 22, 253 (1996).
T. Ericson and W. Weise, Pions and Nuclei (Clarendon Press, Oxford, 1988).
O. Dumbrajs et al., Nucl. Phys. B 216, 277 (1983).
I. S. Towner and J. S. Hardy, in Symmetries and Fundamental Interactions in Nuclei, Ed. by W. C. Haxton and E. M. Henley (World Sci., Singapore, 1995), p. 183; nucl-th/9504015.
Heidelberg-Moscow Collab. (L. Baudis et al.), Phys. Lett. B 407, 219 (1997).
S. R. Elliot et al., Phys. Rev. C 46, 1535 (1992).
A. Kawashima, K. Takahashi, and A. Masuda, Phys. Rev. C 47, 2452 (1993).
H. Ejiri et al., Nucl. Phys. A 611, 85 (1996).
F. A. Danevich et al., Phys. Lett. B 344, 72 (1995).
T. Bernatovicz et al., Phys. Rev. Lett. 69, 2341 (1992); Phys. Rev. C 47, 806 (1993).
A. Alessandrello et al., Nucl. Phys. B (Proc. Suppl.) 35, 366 (1994).
J. Busto et al., Nucl. Phys. B (Proc. Suppl.) 48, 251 (1996).
A. De Silva, M. K. Moe, M. A. Nelson, and M. A. Vient, Phys. Rev. C 56, 2451 (1997).
M. Günter et al., Phys. Rev. D 55, 54 (1997).
M. Moe and P. Vogel, Annu. Rev. Nucl. Part. Sci. 44, 247 (1994).
G. L. Kane, G. Golda, L. Roszkowski, and J. D. Wells, Phys. Rev. D 49, 6173 (1994).
D. J. Kastano, E. J. Piard, and P. Ramond, Phys. Rev. D 49, 4882 (1994).
A. Wodecki, W. A. Kamiński, and F. Šimkovic, hep-ph/9902453.
B. T. Cleveland et al., Nucl. Phys. B (Proc. Suppl.) 38, 47 (1995).
K. S. Hirata et al., Phys. Rev. D 44, 2241 (1991).
Gallex Collab., Phys. Lett. B 357, 237 (1995).
J. N. Abdurashitov et al., Phys. Lett. B 328, 234 (1994).
Y. Fukuda et al., Phys. Lett. B 335, 237 (1994).
R. Becker-Szendy et al., Nucl. Phys. B (Proc. Suppl.) 38, 331 (1995).
M. Goodman, Nucl. Phys. B (Proc. Suppl.) 38, 337 (1995).
Y. Fukuda et al., Phys. Lett. B 433, 9 (1998).
C. Athanassopoulos et al., Phys. Rev. Lett. 75, 2650 (1995).
S. M. Bilenky, C. Giunti, and W. Grimus, hep-ph/9812360.
V. Bednyakov, A. Faessler, and S. Kovalenko, Phys. Lett. B 442, 203 (1998).
G. Barenboim and F. Scheck, Phys. Lett. B 440, 332 (1998).
J. Hellming and H. V. Klapdor-Kleingrothaus, Z. Phys. A 359, 351 (1997); H. V. Klapdor-Kleingrothaus and M. Hirsch, Z. Phys. A 359, 361 (1997); H. V. Klapdor-Kleingrothaus, hep-ex/9901021.
M. Hirsch, H. V. Klapdor-Kleingrothaus, and S. G. Kovalenko, Phys. Lett. B 398, 311 (1997); 403, 291 (1997).
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From Yadernaya Fizika, Vol. 63, No. 7, 2000, pp. 1213–1226.
Original English Text Copyright © 2000 by Vergados.
This article was submitted by the author in English.
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Vergados, J.D. Double-beta decay in gauge theories. Phys. Atom. Nuclei 63, 1137–1150 (2000). https://doi.org/10.1134/1.855759
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DOI: https://doi.org/10.1134/1.855759