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

Abstract

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 ($\beta {\beta }_{0\nu }$). 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 $\beta {\beta }_{0\nu }$ nuclear matrix elements.

arXiv comment11pp., latex, fixed minor typographical errors

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Cited by in corpus (7)

• Limits on different Majoron decay modes of ${}^{100}$Mo and ${}^{82}$Se for neutrinoless double beta decays in the NEMO-3 experiment
• Nuclear moments for the neutrinoless double beta decay II
• Double beta decay of sigma^- hyperons
• Nuclear moments for the neutrinoless double beta decay
• Partial restoration of spin-isospin SU(4) Symmetry and the One-QRPA method in Double Beta Decay
• Detailed studies of ${}^{100}$Mo two-neutrino double beta decay in NEMO-3
• Competition between standard and exotic double beta decays