Nuclear moments for the neutrinoless double beta decay

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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20 pages, latex, minor changes, to appear in Nucl. Phys. A

Scientific paper

10.1016/S0375-9474(97)00614-3

A derivation of the neutrinoless double beta decay rate, specially adapted for the nuclear structure calculations, is presented. It is shown that the Fourier-Bessel expansion of the hadronic currents, jointly with the angular momentum recoupling, leads to very simple final expressions for the nuclear form factors. This greatly facilitates the theoretical estimate of the half life. Our approach does not require the closure approximation, which however can be implemented if desired. The method is exemplified for the $\beta\beta$ decay $^{48}Ca \to ^{48}Ti$, both within the QRPA and a shell-model like model.

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