# 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

Source: [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](<https://www.sota2.com/research/paper/68fa28492c2a3760193c7b3e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:52.313Z

Authors: K. Chaturvedi, R. Chandra, P. K. Rath, P. K. Raina, J. G. Hirsch

Published: 2008-05-27T08:53:44.000Z

## Abstract

The $(\\beta ^{-}\\beta ^{-})\_{0\\nu}$ decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes for the $0^{+}\\to 0^{+}$ transition is studied in the Projected Hartree-Fock-Bogoliubov framework. In our earlier work, the reliability of HFB intrinsic wave functions participating in the $\\beta ^{-}\\beta ^{-}$ decay of the above mentioned nuclei has been established by obtaining an overall agreement between the theoretically calculated spectroscopic properties, namely yrast spectra, reduced $B(E2$:$0^{+}\\to 2^{+})$ transition probabilities, quadrupole moments $Q(2^{+})$, gyromagnetic factors $g(2^{+})$ as well as half-lives $T\_{1/2}^{2\\nu}$ for the $0^{+}\\to 0^{+}$ transition and the available experimental data. In the present work, we study the $(\\beta ^{-}\\beta ^{-})\_{0\\nu}$ decay for the $0^{+}\\to 0^{+}$ transition in the mass mechanism and extract limits on effective mass of light as well as heavy neutrinos from the observed half-lives $T\_{1/2}^{0\\nu}(0^{+}\\to 0^{+})$ using nuclear transition matrix elements calculated with the same set of wave functions. Further, the effect of deformation on the nuclear transition matrix elements required to study the $(\\beta ^{-}\\beta ^{-})\_{0\\nu}$ decay in the mass mechanism is investigated. It is noticed that the deformation effect on nuclear transition matrix elements is of approximately same magnitude in $(\\beta ^{-}\\beta ^{-})\_{2\\nu}$ and $(\\beta ^{-}\\beta ^{-})\_{0\\nu}$ decay.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0805.4073>)

[PDF](<https://arxiv.org/pdf/0805.4073.pdf>)