Bulletin of the American Physical Society
APS April Meeting 2019
Volume 64, Number 3
Saturday–Tuesday, April 13–16, 2019; Denver, Colorado
Session G10: Tonne Scale Neutrinoless Double Beta Decay R&D II
8:30 AM–10:06 AM,
Sunday, April 14, 2019
Sheraton
Room: Governor's Square 12
Sponsoring
Units:
DNP DPF
Chair: David Radford, Oak Ridge National Laboratory
Abstract: G10.00006 : Harmonic Oscillator Based Effective Theory and Effective Operators for Neutrinoless Double Beta Decay*
9:30 AM–9:42 AM
View Presentation Abstract
Presenter:
Kenneth S McElvain
(University of California, Berkeley, Lawrence Berkeley National Laboratory)
Author:
Kenneth S McElvain
(University of California, Berkeley, Lawrence Berkeley National Laboratory)
Effective theory has been used to connect BSM physics of 0νββ decay to nucleon-level operators. Such nucleon-level operators must be transformed to the effective operators needed in nuclear structure calculations to quantitatively connect decay rates to BSM physics. Transitions of interest, e.g. 76Ge -> 76Se and 130Te -> 130Xe, can be treated in the canonical shell model spaces. As no experimental data exist, a more formal approach to operator renormalization is needed. We implemented HOBET (Harmonic Oscillator Based Effective Theory) operator renormalization Ôeffji=P (Ej/(Ej-HQ)) Ô (Ei/(Ei-QH)) P where indices i and j correspond to eigenstates of the isotopes of interest with P representing a projector for a two-body model space and P+Q=1. The Green's functions with suitable boundary conditions reconstruct the full wave function from the projection. The choice of two-body space will depend on spectator excitation in the A-body wave function. These components enable a calculational path for renormalized operator evaluation.
*This material is based upon work supported in part by the US DOE, Office of Science, Office of Nuclear Physics and SciDAC under awards DE-SC00046548, DE-AC02-05CH11231, KB0301052, and DE-SC0015376.
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