Double-beta decay in the pseudo SU(3) scheme

Castaños, Octavio; Hirsch, Jorge G.; Civitarese, O.; Hess, Peter O.

doi:10.1016/0375-9474(94)90062-0

Cited by 40 publications

(63 citation statements)

References 42 publications

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“…This is the first selection rule the pseudo SU(3) formalism imposes on the double beta decay, similar to that found for β − β − processes [14]. In 156 Gd there is one dominant component in the ground state wave function [9].…”

supporting

confidence: 75%

“…The double beta decay, when described in the pseudo SU(3) scheme, is strongly dependent on the occupation numbers for protons and neutrons in the normal and abnormal parity states n [14]. These numbers are determined filling the Nilsson levels from below, as discussed in [14].…”

mentioning

confidence: 99%

“…These numbers are determined filling the Nilsson levels from below, as discussed in [14]. In particular the β + β + decay is allowed only if they fulfil the following relationships…”

mentioning

confidence: 99%

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Double electron capture in 156Dy, 162Er and 168Yb

Cerón¹,

Hirsch²

1999

Physics Letters B

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The double electron capture half-lives of 156 Dy, 162 Er and 168 Yb are evaluated using the pseudo SU(3) model, which describes ground and excited bands as well as their B(E2) and B(M1) transition strengths in remarkable agreement with experiment. The best candidate for experimental detection is the decay 156 Dy → 156 Gd, with τ 1/2 (0 + gs → 0 + gs ) = 2.74 × 10 22 yrs and τ 1/2 (0 + gs → 0 + 1 ) = 8.31 × 10 24 yrs.

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supporting

confidence: 75%

mentioning

confidence: 99%

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Double electron capture in 156Dy, 162Er and 168Yb

Cerón¹,

Hirsch²

1999

Physics Letters B

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“…It has been evaluated exactly for 2ν β − β − [33,34] and 2ν ECEC modes [35] in the context of pseudo SU(3) scheme. In the present case, the model Hamiltonian is not isospin symmetric.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Two-neutrino double- β decay of 94 ⩽ A ⩽ 110 nuclei for the 0+ → 0+ transition

et al. 2005

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The two neutrino double beta decay of 94,96 Zr, 98,100 Mo, 104 Ru and 110 Pd nuclei for 0 + → 0 + transition is studied in the PHFB model in conjunction with the summation method. In the first step, the reliability of the intrinsic wave functions has been established by obtaining an overall agreement between a number of theoretically calculated spectroscopic properties and the available experimental data for 94,96 Zr, 94,96,98,100 Mo, 98,100,104 Ru, 104,110 Pd and 110 Cd isotopes. Subsequently, the PHFB wave functions of the above mentioned nuclei are employed to calculate the nuclear transition matrix elements M 2ν as well as half-lives T 2ν 1/2 . Further, we have studied the effects of deformation on the M 2ν .

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“…It has been evaluated exactly for 2ν β − β − [38,39] and 2ν ECEC modes [40] in the context of pseudo SU(3) scheme. However, in the present case, the model Hamiltonian is not isospin symmetric.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Two-neutrino positron double-beta decay of 106Cd for the 0+ → 0+ transition

et al. 2004

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The two neutrino positron double beta decay of 106 Cd for 0 + → 0 + transition has been studied in the Hartree-Fock-Bogoliubov model in conjunction with the summation method. In the first step, the reliability of the intrinsic wave functions of 106 Cd and 106 Pd nuclei has been tested by comparing the theoretically calculated results for yrast spectra, reduced B(E2:0 + → 2 + ) transition probabilities, quadrupole moments Q(2 + ) and gyromagnetic factors g(2 + ) with the available experimental data. In the second step, the nuclear transition matrix element M 2ν and the half-life1/2 for 0 + → 0 + transition have been calculated with these wave functions. Moreover, we have studied the effect of deformation on nuclear transition matrix element M 2ν .

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Double-beta decay in the pseudo SU(3) scheme

Cited by 40 publications

References 42 publications

Double electron capture in 156Dy, 162Er and 168Yb

Double electron capture in 156Dy, 162Er and 168Yb

Two-neutrino double- β decay of 94 ⩽ A ⩽ 110 nuclei for the 0+ → 0+ transition

Two-neutrino positron double-beta decay of 106Cd for the 0+ → 0+ transition

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