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

References in corpus (10)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• Nuclear matrix elements of neutrinoless double beta decay with improved short-range correlations
• Short-range correlations and neutrinoless double beta decay
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Corrections to the Neutrinoless Double-Beta-Decay Operator in the Shell Model