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arxiv: 1104.3965 · v1 · pith:PXMMCFD2new · submitted 2011-04-20 · ⚛️ nucl-th

Uncertainties in nuclear transition matrix elements for neutrinoless β β decay within the PHFB model

classification ⚛️ nucl-th
keywords transitionbetadecaydifferentelementsmatrixnuclearmodel
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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.

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