Abstract
Abstract In this work we report on the effects of short-range correlations upon the matrix elements of neutrinoless double beta decay ( 0 ν β β ). We focus on the calculation of the matrix elements of the neutrino-mass mode of 0 ν β β decays of 48 Ca and 76 Ge. The nuclear-structure components of the calculation, that is the participant nuclear wave functions, have been calculated in the shell-model scheme for 48 Ca and in the proton–neutron quasiparticle random-phase approximation (pnQRPA) scheme for 76 Ge. We compare the traditional approach of using the Jastrow correlation function with the more complete scheme of the unitary correlation operator method (UCOM). Our results indicate that the Jastrow method vastly exaggerates the effects of short-range correlations on the 0 ν β β nuclear matrix elements.
Highlights
In this work we report on the effects of short-range correlations upon the matrix elements of neutrinoless double beta decay (Ov/f/1)
In [8] a different method was used to explicitly take into ac count the short-range correlations. This approach is based on the use of the Horie-Sasaki method to evaluate the involved ra dial form factors and the short-range correlations were consid ered to arise from the m exchange in the nucleon-nucleon inter action [9,10]
In this work we address the important issue of short-range correlations in the computation of nuclear matrix elements involved in the neutrinoless double beta decay
Summary
In this work we report on the effects of short-range correlations upon the matrix elements of neutrinoless double beta decay (Ov/f/1). In this work we address the important issue of short-range correlations in the computation of nuclear matrix elements involved in the neutrinoless double beta decay. Our calculated results show that the reduction caused by the inclusion of the short range correlations depends on the multipole which contributes to the
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