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C. Barbero

Publications and source records attributed to C. Barbero.

21 records · Page 2Linked to original sources

Exact evaluation of the nuclear form factor for new kinds of majoron emission in neutrinoless double beta decay

We have developed a formalism, based on the Fourier-Bessel expansion, that facilitates the evaluation of matrix elements involving nucleon recoil operators, such as appear in serveral exotic forms of neutrinoless double beta decay ($ββ_{0ν}$). The method is illustrated by applying it to the ``charged'' majoron model, which is one of the few that can hope to produce an observable effect. From our numerical computations within the QRPA performed for $^{76}Ge$, $^{82}Se$, $^{100} Mo$, $^{128}Te$ and $^{150}Nd$ nuclei, we test the validity of approximations made in earlier work to simplify the new matrix elements, showing that they are accurate to within 15%. Our new method is also suitable for computing other previously unevaluated $ββ_{0ν}$ nuclear matrix elements.

hep-ph↗

Charged Majoron Emission in Neutrinoless Double Beta Decay

We examine in detail the predictions of the charged majoron model, introduced recently by Burgess and Cline, for 0+ --> 0+ double beta decay transitions. The relevant nuclear matrix elements are evaluated, within the quasiparticle random phase approximation, for 76Ge, 82Se, 100Mo, 128Te and 150Nd nuclei. The calculated transition rates turn out to be much smaller than the experimental upper limits on possible majoron emission, except in a small region of the model's parameter space.

hep-ph↗

Two neutrino double beta decay within the $ξ$-approximation

We examine the contributions of odd-parity nuclear operators to the two-neutrino double beta decay $0^+\rightarrow 0^+$ amplitude, which come from the $P$-wave Coulomb corrections to the electron wave functions and the recoil corrections to the nuclear currents. Although they are formally of higher order in $αZ/2$ or $v/c$ of the nucleon than the usual Fermi and Gamow-Teller matrix elements, explicit calculations performed within the QRPA show that they are significant when confronted with the experimental data.

nucl-th↗