# Uncertainties in nuclear transition matrix elements for neutrinoless $\\beta \\beta $ decay within the PHFB model

Source: [Uncertainties in nuclear transition matrix elements for neutrinoless $\\beta \\beta $ decay within the PHFB model](<https://www.sota2.com/research/paper/68fa2fbf1e209131ce86edf2>)

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

Data updated: 2025-10-24T17:45:21.761Z

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

Published: 2011-04-20T08:29:33.000Z

## Abstract

The nuclear transition matrix elements $M^{(0\\nu)}$ for the neutrinoless double beta decay of $^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes in the case of $0^{+}\\rightarrow 0^{+}$ transition are calculated using the PHFB wave functions, which are eigenvectors of four different parameterizations of a Hamiltonian with pairing plus multipolar effective two-body interaction. \\QCOM{35}{In addition, the consideration of} Employing two (three) different parameterizations of Jastrow-type short range correlations, \\QCOM{19}{provides us with} a set of eight (twelve) different nuclear transition matrix elements $M^{(0\\nu)}$ is built for each decay, whose averages in conjunction with their standard deviations provide an estimate of the model uncertainties.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1104.3965>)

[PDF](<https://arxiv.org/pdf/1104.3965.pdf>)