Jastrow functions in double-beta decay

Abstract

We use simple analytic considerations and a Monte Carlo calculation of nucleons in a box to argue that the use of Jastrow functions as short-range correlators in the commonly employed two-body-cluster approximation causes significant errors in the matrix elements for double-beta decay. The Jastrow approach appears to agree with others, however, if many-body clusters are included. A careful treatment of the charge-changing analog of the nuclear pair density shows, in addition, that differences between Unitary Correlator Operator Method and Brueckner methods for treating short-range correlations in double-beta are less significant than suggested by previous work.

6 pages, 5 figures

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Cited by in corpus (14)

• Theory of neutrinoless double beta decay
• A renormalized approach to neutrinoless double-beta decay
• Nuclear structure and 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
• Quantifying short-range correlations in nuclei
• 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
• Factorization of exclusive electroinduced two-nucleon knockout
• Comparison between Variational Monte Carlo and Shell Model Calculations of Neutrinoless Double Beta Decay Matrix Elements in Light Nuclei
• Lattice QCD Inputs for Nuclear Double Beta Decay
• Short-range correlation effects on the nuclear matrix element of neutrinoless double-$\beta$ decay
• Nucleon-Nucleon Short-Ranged Correlations, $\beta$ Decay and the Unitarity of the CKM Matrix
• Nonperturbative renormalization of the neutrinoless double-beta operator in p-shell nuclei