Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-08-13
Nucl.Phys. A628 (1998) 170-186
Physics
High Energy Physics
High Energy Physics - Phenomenology
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.
Barbero Cesar
Krmpotic Francisco
Tadić Dubravko
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