Neutrino masses and right-handed current in the neutrinoless double beta decay 76Ge → 76Se + 2e−

doi:10.1016/0370-2693(85)90131-5

Physics Letters B

Volume 150, Issues 1–3, 3 January 1985, Pages 29-34

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Abstract

We calculated the nuclear matrix elements using the decoupling model extended to include also strong coupling. The closure approximation has been avoided and for the intermediate odd-odd nucleus $^{76} As$ a number of 70 states with 1⁺ have been generated and we summed up coherently their second order contribution. We found the neutrino mass to be limited by m_v,η=0^Maj ⩽ 4.2 and 9.3 eV and the admixture of a right-handed current bounded by η_{m_v=0}^Maj ⩽ 0.84 × 10⁻⁵ and 1.88 × 10⁻⁵, depending on the different experimental upper limits measured by direct counting methods. In the general case one finds m_v,η≠0^Maj ⩽7.2 eV and η_{m_v≠0}^Maj ⩽3.10 × 10⁻⁶ if Avignone's experiment is used.

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Two-neutrino double beta decay of 76Ge within deformed QRPA
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The effect of deformation on the two-neutrino double decay (2νββ-decay) for ground state transition $^{76} Ge →^{76} Se$ is studied in the framework of the deformed QRPA with separable Gamow–Teller residual interaction. We found that when the parent and daughter nuclei have different deformations, the 2νββ-decay matrix element is suppressed with respect to the case of 2νββ decay between nuclei having the same deformation, in particular, spherical going to spherical. An advantage of this suppression mechanism in comparison with that associated with ground state correlations is that it allows a simultaneous description of the single β and the 2νββ-decay. By performing a detail calculation of the 2νββ-decay of ⁷⁶Ge, it is found that the states of intermediate nucleus lying in the region of the Gamow–Teller resonance contribute significantly to the matrix element of this process.
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1995, Nuclear Data Sheets
Nuclear spectroscopic information for known nuclides of mass number 76 (Ni,Cu,Zn,Ga,Ge,As,Se,Br,Kr,Rb,Sr) have been evaluated and presented together with adopted energies and Jπ of levels in these nuclei. No data are yet available for excited states in ⁷⁶Ni and ⁷⁶Cu. This evaluation represents a revision of earlier ones (84Si14, 76Be41). No experimental data are available for ⁷⁶Zr and 76Mo. Structure calculations for ⁷⁶Zr related to potential energy surfaces, binding energies and rms radii are reported by 93Ki04, 92Ma39, 85Bo36 and 84He07. The role of n-p interaction in deformation for 76Mo a calculated by 93Ki04.
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^☆: Supported by the scientific exchange agreement between the Federal Republic of Germany and Romania.

¹: Permanent address: Institute for Physics and Nuclear Engineering, Bucharest, Romania.

²: Professor Dr. Dragos Bogdan died in Bucharest after finishing thos work.

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Physics Letters B

Abstract

References (18)

Nucl. Phys.

Phys. Lett.

Nucl. Phys.

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Phys. Rev.

Comm. Nucl. Part. Phys.

Phys. Rev.

Cited by (8)

Decay of polarized muon at rest as a source of polarized antineutrino beam

Two-neutrino double beta decay of <sup>76</sup>Ge within deformed QRPA

Nuclear data sheets update for A = 76

The neutrinoless double beta decay of <sup>76</sup>Ge, <sup>82</sup>Se, <sup>86</sup>Kr, <sup>114</sup>Cd, <sup>128, 130</sup>Te and <sup>134, 136</sup>Xe in the framework of a relativistic quark confinement model

Calculation of double beta decay rates and the neutrino mass

Azimuthal asymmetry of recoil electrons in neutrino–electron elastic scattering as signature of neutrino nature

Neutrino masses and right-handed current in the neutrinoless double beta decay 76Ge → 76Se + 2e−☆

Abstract

Nucl. Phys.

Phys. Lett.

Nucl. Phys.

Os-Ge 84-07

Phys. Rev.

Comm. Nucl. Part. Phys.

Phys. Rev.

Neutrino masses and right-handed current in the neutrinoless double beta decay $^{76} Ge →^{76} Se + 2 e^{−}$ ☆