Nuclear matrix elements of neutrinoless double-beta decay in covariant density functional theory with different mechanisms
arxiv(2024)
摘要
Nuclear matrix elements (NMEs) for neutrinoless double-beta
(0νββ) decay in candidate nuclei play a crucial role in
interpreting results from current experiments and in designing future ones.
Accurate NME values serve as important nuclear inputs for constraining
parameters in new physics, such as neutrino mass and the Wilson coefficients of
lepton-number-violating (LNV) operators. In this study, we present a
comprehensive calculation of NMEs for 0νββ decay in ^76Ge,
^82Se, ^100Mo, ^130Te, and ^136Xe, using nuclear wave functions
obtained from multi-reference covariant density functional theory (MR-CDFT). We
employ three types of transition potentials at the leading order in chiral
effective field theory. Our results, along with recent data, are utilized to
constrain the coefficients of LNV operators. We find that NMEs for the standard
and short-range mechanisms are significantly larger than those for the
non-standard long-range mechanism. The use of NMEs from various nuclear models
does not notably change the parameter space intervals for the coefficients,
although MR-CDFT yields the most stringent constraint. Furthermore, our NMEs
can also be used to perform a more comprehensive analysis with multiple
isotopes.
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