DOE OSTI · 3398575
Three-nucleon lepton-number-violating potentials in chiral effective field theory and their matrix elements in light nuclei
Abstract
Here, we derive the three-nucleon neutrinoless double-𝛽 decay potential in a Δ-full chiral effective field theory through next-to-next-to-next-to leading order in Weinberg's power counting. The matrix elements of the resulting operators are computed in light nuclei using variational Monte Carlo with wave functions constructed from the Norfolk family of nuclear interactions. We find that three-nucleon corrections induce a modest quenching of the total nuclear matrix elements. We discuss model dependencies and the potential impact of these corrections on the sensitivity of experimental programs to probe lepton number violating parameters. These results provide a benchmark for many-body methods capable of reaching heavier nuclei of experimental interest.
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Chambers-Wall, Graham [Washington University, St. Louis, MO (United States)] (ORCID:0000000294038450), Lieffers, Justin [University of Arizona, Tucson, AZ (United States)] (ORCID:0000000320607451), King, Garrett B. [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)], Mereghetti, Emanuele [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)], Pastore, Saori [Washington University, St. Louis, MO (United States)], Piarulli, Maria [Washington University, St. Louis, MO (United States)] (ORCID:0000000180422999), Wiringa, R. B. [Argonne National Laboratory (ANL), Argonne, IL (United States)] (ORCID:0000000185373655). 2026-02-23. Three-nucleon lepton-number-violating potentials in chiral effective field theory and their matrix elements in light nuclei. https://doi.org/10.1103/8ftq-p8nc
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