# Uncertainties in nuclear transition matrix elements for neutrinoless $\\beta \\beta $ decay II: the heavy Majorana neutrino mass mechanism

Source: [Uncertainties in nuclear transition matrix elements for neutrinoless $\\beta \\beta $ decay II: the heavy Majorana neutrino mass mechanism](<https://www.sota2.com/research/paper/68fa2fd91e209131ce86fd02>)

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

Data updated: 2025-10-28T13:53:39.370Z

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

Published: 2011-06-08T13:50:54.000Z

## Abstract

Employing four different parametrization of the pairing plus multipolar type of effective two-body interaction and three different parametrizations of Jastrow-type of short range correlations, the uncertainties in the nuclear transition matrix elements $M\_{N}^{(0\\nu)}$ due to the exchange of heavy Majorana neutrino for the $0^{+}\\rightarrow 0^{+}$ transition of neutrinoless double beta decay of $^{94}$Zr, $^{96}$Zr, $^{98}$Mo, $^{100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes in the PHFB model are estimated to be around 25%. Excluding the nuclear transition matrix elements calculated with Miller-Spenser parametrization of Jastrow short range correlations, the uncertainties are found to be 10%-15% smaller.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1106.1560>)

[PDF](<https://arxiv.org/pdf/1106.1560.pdf>)