Nuclear deformation and the two neutrino double-βdecay in ^{124,126}Xe,^{128,130}Te, ^{130,132}Ba and ^{150}Nd isotopes

Abstract

The two neutrino double beta decay of ${}^{124,126}$Xe,${}^{128,130}$Te, ${}^{130,132}$Ba and ${}^{150}$Nd isotopes is studied in the Projected Hartree-Fock-Bogoliubov (PHFB) model. Theoretical 2$\nu$ ${\beta }^{-}{\beta }^{-}$ half-lives of ${}^{128,130}$Te, and ${}^{150}$Nd isotopes, and 2$\nu {\beta }^{+}{\beta }^{+}$, 2$\nu$ ${\beta }^{+}EC$ and 2$\nu$ $ECEC$ for ${}^{124,126}$Xe and ${}^{130,132}$Ba nuclei are presented. Calculated quadrupolar transition probabilities B(E2: $0^{+}\to 2^{+}$), static quadrupole moments and $g$ factors in the parent and daughter nuclei reproduce the experimental information, validating the reliability of the model wave functions. The anticorrelation between nuclear deformation and the nuclear transition matrix element $M_{2\nu }$ is confirmed.

arXiv comment19 pages

References in corpus (16)

• Evidence for Neutrinoless Double Beta Decay
• Double Beta Decay
• Double Beta Decay
• Deformation of the N=Z nucleus 76Sr using beta-decay studies
• A Calorimetric Search on Double Beta Decay of 130Te
• On the physics of massive neutrinos
• Beta decay and shape isomerism in 74Kr
• Double Beta Decays of Mo-100 and Nd-150
• A deformed QRPA formalism for single and two-neutrino double beta decay
• Average (RECOMMENDED) Half-Life Values for Two Neutrino Double Beta Decay
• The strength of the analog and Gamow-Teller giant resonances and hindrance of the 2νββ-decay rate
• Double beta decay of ${}^{100}Mo$: the deformed limit
• Two neutrino double $\beta$ decay of 94v$\le A\le$110 nuclei for $0^{+}\to 0^{+}$ transition
• The $0^{+}\to 0^{+}$ positron double-$\beta$ decay with emission of two neutrinos in the nuclei ${}^{96}$Ru, ${}^{102}$Pd, ${}^{106}$Cd and ${}^{108}$Cd
• Correlation between the quenching of total GT+ strength and the increase of E2 strength
• Double electron capture in 156Dy, 162Er and 168Yb

Cited by in corpus (27)

• Precise half-life values for two neutrino double beta decay
• Average and recommended half-life values for two neutrino double beta decay
• First observation of two-neutrino double electron capture in ${}^{124}$Xe with XENON1T
• Shell Model description of the beta beta decay of 136Xe
• Uncertainties in nuclear transition matrix elements for neutrinoless $\beta \beta$ decay within the PHFB model
• Neutrinoless double beta decay of deformed nuclei within QRPA with realistic interaction
• Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction
• Neutrinoless $\beta \beta$ decay transition matrix elements within mechanisms involving light Majorana neutrinos, classical Majorons and sterile neutrinos
• Nuclear deformation and neutrinoless double-$\beta$ decay of ${}^{94,96}$Zr, ${}^{98,100}$Mo, ${}^{104}$Ru, ${}^{110}$Pd, ${}^{128,130}$Te and ${}^{150}$Nd nuclei in mass mechanism
• Neutrinoless double beta decay of ${}^{150}$Nd with account for deformation
• Two-neutrino double electron capture on ${}^{124}$Xe based on an effective theory and the nuclear shell model
• Deformation effects and neutrinoless positron $\beta \beta$ decay of ${}^{96}$Ru, ${}^{102}$Pd, ${}^{106}$Cd, ${}^{124}$Xe, ${}^{130}$Ba and ${}^{156}$Dy isotopes within Majorona neutrino mass mechanism
• Improved search for two-neutrino double electron capture on ${}^{124}$Xe and ${}^{126}$Xe using particle identification in XMASS-I
• Double beta decay searches of Xe-134, Xe-126 and Xe-124 with large scale Xe detectors
• Uncertainties in nuclear transition matrix elements for neutrinoless $\beta \beta$ decay II: the heavy Majorana neutrino mass mechanism
• Search for Two-Neutrino Double Electron Capture of ${}^{124}$Xe with XENON100
• Nuclear matrix elements of neutrinoless double-$\beta$ decay in the triaxial projected shell model
• Deformation effects on the Gamow-Teller strength distributions in the double-beta decay partners 76Ge and 76Se
• Evaluation of the resonance enhancement effect in neutrinoless double-electron capture in 152Gd, 164Er and 180W atoms
• Systematic Analysis of Double-Beta Decay Half Lives
• Search for two-neutrino double electron capture on ${}^{124}$Xe with the XMASS-I detector
• Uncertainties in nuclear transition matrix elements for ${\beta }^{+}{\beta }^{+}$ and $\epsilon {\beta }^{+}$ modes of neutrinoless positron double-$\beta$ decay within PHFB model
• Quadrupolar correlations and deformation effect on two neutrino $\epsilon {\beta }^{+}$ and $\epsilon \epsilon$ modes of ${}^{156}$Dy isotope
• Gamow-Teller properties of the double beta-decay partners 116Cd(Sn) and 150Nd(Sm)
• Two-neutrino double-beta decay Fermi transition and two-nucleon interaction
• Nuclear structure calculations for two-neutrino double-beta decay
• Multipolar correlations and deformation effect on nuclear transition matrix elements of double-$\beta$ decay