Abstract
A Semi empirical formula for both phase space factor and Nuclear Matrix Element (NME) is developed for neutrinoless double beta decay, and the formula is used to compute the neutrinoless double beta decay half lives. Thecomputed half lives for neutrinoless double beta decay are compared with the corresponding experimental values and with those predicted by QRPA model. The semi empirical formula predictions are found to be in good agreement with experimental data. The semi empirical formula is used to predict neutrinoless double beta decay of various isotopes Ca, Ge, Se, Zr, Mo, Pd, Cd, Sn, Te, Xe, Nd and Sm that exhibiting single beta decay. As our semi empirical formula predictions agree with the experimental data we hope that the present work will be useful for the future experiments.
Highlights
Double beta decay is a radioactive decay process where a nucleus releases two beta rays as single process
In the standard scenario, when 0νββ decay process occurs by exchange of light Majorana neutrinos between two nucleons inside the nucleus, and in the presence of left handed weak interactions, the life time expression can be written as a product of three factors, given as
From the observed dependence of ZQ3 and Z2Q6 of the plots we have developed a semi empirical formula for the phase space factor
Summary
Double beta decay is a radioactive decay process where a nucleus releases two beta rays as single process. Double beta decay is usually studied only for beta stable nuclei. Ten of them were observed to decay via the two neutrino mode.
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