Jastrow functions in double-beta decay.

Journal Article · Wed Mar 16 00:00:00 EDT 2011 · Phys. Rev. C

DOI:https://doi.org/10.1103/PhysRevC.83.034317· OSTI ID:1014840

Engel, J; Carlson, J; Wiringa, R B ^[1]

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1. Physics

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 the unitary correlation operator method and Brueckner methods for treating short-range correlations in double-{beta} decay are less significant than suggested by previous work.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC02-06CH11357
• OSTI ID: 1014840
• Report Number(s): ANL/PHY/JA-68987; TRN: US1102775
• Journal Information: Phys. Rev. C, Vol. 83, Issue 3 ; Mar. 16, 2011
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
BRUECKNER METHOD
DOUBLE BETA DECAY
MATRIX ELEMENTS
MONTE CARLO METHOD
NUCLEONS