Short-range correlation effects on the nuclear matrix element of neutrinoless double-$\beta$ decay

Abstract

We report the results of a calculation of the nuclear matrix element of neutrinoless double-$\beta$ decay of ${}^{48}$Ca, carried out taking into account nucleon-nucleon correlations in both coordinate- and spin-space. Our numerical results, obtained using nuclear matter correlation functions, suggest that inclusion of correlations leads to a $\sim$ $20\%$ decrease of the matrix element, with respect to the shell model prediction. This conclusion is supported by the results of an independent calculation, in which correlation effects are taken into account using the spectroscopic factors of ${}^{48}$Ca obtained from an {\em ab intitio} many body approach.

References in corpus (4)

• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Short-range correlations and neutrinoless double beta decay
• Momentum distributions and spectroscopic factors of doubly-closed shell nuclei in correlated basis function theory
• Jastrow functions in double-beta decay

Cited by in corpus (13)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Toward the discovery of matter creation with neutrinoless double-beta decay
• A renormalized approach to neutrinoless double-beta decay
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Short range correlations and the isospin dependence of nuclear correlation functions
• Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism
• Lattice QCD Inputs for Nuclear Double Beta Decay
• Benchmark neutrinoless double-beta decay matrix elements in a light nucleus
• Neutrinoless $\beta \beta$ decay nuclear matrix elements complete up to N${}^2$LO in heavy nuclei
• Discovery vs. Precision in Nuclear Physics- A Tale of Three Scales
• Effect of Spin-Dependent Short-Range Correlations on Nuclear Matrix Elements for Neutrinoless Double Beta Decay of ${}^{48}$Ca
• Predicted Measurements of the Tensor-to-Scalar Transition in the CLAS12 Nuclear Targets Experiment