Neutrinoless double-beta decay with Majoron emission

M. Doi; T. Kotani; E. Takasugi

doi:10.1103/PhysRevD.37.2575

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Neutrinoless double-beta decay with Majoron emission

M. Doi

T. Kotani and E. Takasugi

Osaka University of Pharmaceutical Sciences, Matsubara 580, Japan

Institute of Physics, College of General Education, Osaka University, Toyonaka 560, Japan

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Phys. Rev. D 37, 2575 – Published 1 May, 1988

DOI: https://doi.org/10.1103/PhysRevD.37.2575

Abstract

The neutrinoless ββ decay with Majoron emission is examined in detail for the $0^{+}$ → $0^{+}$ and $0^{+}$ → $2^{+}$ transitions. Especially, the quantitative analysis is made on the correction term which was not dealt with properly before. We found that the correction term does not change the fundamental characters of the energy spectra of emitted electrons and the angular correlation obtained from the main term. The dominant contribution comes from the main term through two light neutrino propagations, except some special cases which have the large mixings between light and heavy neutrinos. Also it is shown that the $0^{+}$ → $2^{+}$ transition occurs only through the correction term, and it is by at least ∼ $10^{- 7}$ smaller than the $0^{+}$ → $0^{+}$ transition.

References (30)

F. T. Avignone III et al., in Neutrino Masses and Neutrino Astrophysics, proceedings of the IV Telemark Conference, Ashland, Wisconsin, 1987, edited by V. Barger, F. Halzen, M. Marshak, and K. Olive (World Scientific, Singapore, 1987), p. 248. See also Phys. Lett. B 198, 253 (1987).
P. Fisher et al., Phys. Lett. B 192, 460 (1987).
D. O. Caldwell et al., Phys. Rev. Lett. 59, 419 (1987).
S. R. Elliot, A. A. Hahn and M. K. Moe, Phys. Rev. Lett. 59, 1649 (1987).
H. M. Georgi, S. L. Glashow and S. Nussinov, Nucl. Phys. B193, 297 (1981).
G. B. Gelmini and M. Roncadelli, Phys. Lett. 99B, 411 (1981).
J. D. Vergados, Phys. Lett. 109B, 96 (1982).
M. Doi, T. Kotani and E. Takasugi, Prog. Theor. Phys. Suppl. 83, 1 (1985).
D. B. Reiss, Phys. Lett. 115B, 217 (1982).
J. W. F. Valle, Phys. Lett. 131B, 87 (1983).
S. R. Elliot, A. A. Hahn and M. K. Moe, Phys. Rev. Lett. 56, 2582 (1986); in Nuclear Beta Decays and the Neutrino, proceedings of the International Symposium on Nuclear Mass and V+A Interactions in Particle and Nuclear Physics, Osaka, Japan, 1986, edited by T. Kotani, H. Ejiri, and E. Takasugi (World Scientific, Singapore, 1986), p. 93; see also Ref. 4.
T. Tomoda, Tübingen University report, 1987 (unpublished); M. Watanabe and H. Toki, Prog. Theor. Phys. (to be published); in Nuclear Beta Decays and the Neutrino (Ref. 11), p. 212.
J. D. Vergados, Phys. Rev. C 24, 640 (1981).
W. C. Haxton, Jr. and G. J. Stephenson, , Prog. Part. Nucl. Phys. 12, 409 (1984).
M. Doi, T. Kotani, and E. Takasugi, Phys. Rev. C (to be published).
H. Ejiri et al., J. Phys. G 13, 839 (1987).
J. Y. Kirpichnikov, a talk given at the Second International Symposium on Underground Physics, Baksan, USSR, 1987 (unpublished).
H. Ejiri et al., in Neutrino Masses and Neutrino Astrophysics (Ref. 1), p. 281.
S. R. Elliott, A. A. Hahn and M. K. Moe, Phys. Rev. C 36, 2129 (1987).
O. K. Manuel, in Nuclear Beta Decays and the Neutrino (Ref. 11), p. 71; E. Hennecke, O. Manuel and D. Sabu, Phys. Rev. C 11, 1378 (1975).
T. Kirsten, H. Richter and E. Fessberger, Phys. Rev. Lett. 50, 474 (1983); Z. Phys. C 16, 189 (1983).
E. Bellotti et al., in Neutrino Masses and Neutrino Astrophysics (Ref. 1), p. 307.
V. M. Novikov, a talk given at the Second International Symposium, on Underground Physics, Baksan, USSR, 1987 (unpublished).
K. Grotz and H. V. Klapdor, Phys. Lett. 153B, 1 (1985); ibid. 157B, 242 (1985); Nucl. Phys. A460, 395 (1986).
T. Tomoda and A. Faessler, Phys. Lett. B (to be published).
J. Engels, P. Vogel, and M. R. Zirnbauer, Caltech Report No. MAP-95, 1987 (unpublished).
We adopt in the analysis the following values of nuclear matrix elements for those in Ref. 26; | $M_{GT}$ ${}^{(0 ν)}$ (1- $χ_{F}$ )| =0.67 $(^{76}$ Ge), 0.48 $(^{82}$ Se), 0.76 $(^{100}$ Mo), 1.7 $(^{128}$ Te), 1.5 $(^{130}$ Te), and 0.64 $(^{136}$ Xe), and | $M_{GT}$ ${}^{(2 ν)}$ / $μ_{0}$ |=0.047 $(^{128}$ Te) and 0.031 $(^{130}$ Te) for the nuclear matrix element appearing in the ( β β ) ${}_{2 ν}$ mode (Ref. 8). These values are obtained by multiplying the factor 1/ $g_{A}^{2}$ =1/(1.254 $)^{2}$ to the theoretical estimates in Ref. 26 with the paticle correlation strength $α_{1}^{sprime}$ = $g^{S = 1, T = 0}$ =-390 MeVfm $^{3}$ .
Particle Data Group, Phys. Lett. 170B, 1 (1986).
A. A. Klimenko, A. A. Pomansky, and A. A. Smolnikov, Proceedings of the XIst International Conference on Neutrino Physics and Astrophysics, edited by K. Kleinknecht and E. A. Paschos, Dortmund, Federal Republic of Germany, 1984 (World Scientific, Singapore, 1984), p. 161.
M. Alston-Garnjost et al., LBL Report No. LBL-24542, 1987 (unpublished).

[c1] F. T. Avignone III et al., in Neutrino Masses and Neutrino Astrophysics, proceedings of the IV Telemark Conference, Ashland, Wisconsin, 1987, edited by V. Barger, F. Halzen, M. Marshak, and K. Olive (World Scientific, Singapore, 1987), p. 248. See also Phys. Lett. B 198, 253 (1987).

[c2] P. Fisher et al., Phys. Lett. B 192, 460 (1987).

[c3] D. O. Caldwell et al., Phys. Rev. Lett. 59, 419 (1987).

[c4] S. R. Elliot, A. A. Hahn and M. K. Moe, Phys. Rev. Lett. 59, 1649 (1987).

[c5] H. M. Georgi, S. L. Glashow and S. Nussinov, Nucl. Phys. B193, 297 (1981).

[c6] G. B. Gelmini and M. Roncadelli, Phys. Lett. 99B, 411 (1981).

[c7] J. D. Vergados, Phys. Lett. 109B, 96 (1982).

[c8] M. Doi, T. Kotani and E. Takasugi, Prog. Theor. Phys. Suppl. 83, 1 (1985).

[c9] D. B. Reiss, Phys. Lett. 115B, 217 (1982).

[c10] J. W. F. Valle, Phys. Lett. 131B, 87 (1983).

[c11] S. R. Elliot, A. A. Hahn and M. K. Moe, Phys. Rev. Lett. 56, 2582 (1986); in Nuclear Beta Decays and the Neutrino, proceedings of the International Symposium on Nuclear Mass and V+A Interactions in Particle and Nuclear Physics, Osaka, Japan, 1986, edited by T. Kotani, H. Ejiri, and E. Takasugi (World Scientific, Singapore, 1986), p. 93; see also Ref. 4.

[c12] T. Tomoda, Tübingen University report, 1987 (unpublished); M. Watanabe and H. Toki, Prog. Theor. Phys. (to be published); in Nuclear Beta Decays and the Neutrino (Ref. 11), p. 212.

[c13] J. D. Vergados, Phys. Rev. C 24, 640 (1981).

[c14] W. C. Haxton, Jr. and G. J. Stephenson, , Prog. Part. Nucl. Phys. 12, 409 (1984).

[c15] M. Doi, T. Kotani, and E. Takasugi, Phys. Rev. C (to be published).

[c16] H. Ejiri et al., J. Phys. G 13, 839 (1987).

[c17] J. Y. Kirpichnikov, a talk given at the Second International Symposium on Underground Physics, Baksan, USSR, 1987 (unpublished).

[c18] H. Ejiri et al., in Neutrino Masses and Neutrino Astrophysics (Ref. 1), p. 281.

[c19] S. R. Elliott, A. A. Hahn and M. K. Moe, Phys. Rev. C 36, 2129 (1987).

[c20] O. K. Manuel, in Nuclear Beta Decays and the Neutrino (Ref. 11), p. 71; E. Hennecke, O. Manuel and D. Sabu, Phys. Rev. C 11, 1378 (1975).

[c21] T. Kirsten, H. Richter and E. Fessberger, Phys. Rev. Lett. 50, 474 (1983); Z. Phys. C 16, 189 (1983).

[c22] E. Bellotti et al., in Neutrino Masses and Neutrino Astrophysics (Ref. 1), p. 307.

[c23] V. M. Novikov, a talk given at the Second International Symposium, on Underground Physics, Baksan, USSR, 1987 (unpublished).

[c24] K. Grotz and H. V. Klapdor, Phys. Lett. 153B, 1 (1985); ibid. 157B, 242 (1985); Nucl. Phys. A460, 395 (1986).

[c25] T. Tomoda and A. Faessler, Phys. Lett. B (to be published).

[c26] J. Engels, P. Vogel, and M. R. Zirnbauer, Caltech Report No. MAP-95, 1987 (unpublished).

[c27] We adopt in the analysis the following values of nuclear matrix elements for those in Ref. 26; | $M_{GT}$ ${}^{(0 ν)}$ (1- $χ_{F}$ )| =0.67 $(^{76}$ Ge), 0.48 $(^{82}$ Se), 0.76 $(^{100}$ Mo), 1.7 $(^{128}$ Te), 1.5 $(^{130}$ Te), and 0.64 $(^{136}$ Xe), and | $M_{GT}$ ${}^{(2 ν)}$ / $μ_{0}$ |=0.047 $(^{128}$ Te) and 0.031 $(^{130}$ Te) for the nuclear matrix element appearing in the ( β β ) ${}_{2 ν}$ mode (Ref. 8). These values are obtained by multiplying the factor 1/ $g_{A}^{2}$ =1/(1.254 $)^{2}$ to the theoretical estimates in Ref. 26 with the paticle correlation strength $α_{1}^{sprime}$ = $g^{S = 1, T = 0}$ =-390 MeVfm $^{3}$ .

[c28] Particle Data Group, Phys. Lett. 170B, 1 (1986).

[c29] A. A. Klimenko, A. A. Pomansky, and A. A. Smolnikov, Proceedings of the XIst International Conference on Neutrino Physics and Astrophysics, edited by K. Kleinknecht and E. A. Paschos, Dortmund, Federal Republic of Germany, 1984 (World Scientific, Singapore, 1984), p. 161.

[c30] M. Alston-Garnjost et al., LBL Report No. LBL-24542, 1987 (unpublished).

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Neutrinoless double-beta decay with Majoron emission

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