Abstract
Single-particle level energies form a significant input in nuclear physics calculations where single-particle degrees of freedom are taken into account, including microscopic interacting boson model investigations. The single-particle energies may be treated as input parameters that are fitted to reach an optimal fit to the data. Alternatively, they can be calculated using a mean field potential, or they can be extracted from available experimental data, as is done in the current study. The role of single-particle level energies in the microscopic interacting boson model calculations is discussed with special emphasis on recent double beta decay calculations.
Highlights
The question of the nature of neutrinos, are they Dirac or Majorana particles, and what are their masses, as well as phases, in the mixing matrix, is one of the most fundamental open problems in physics today
The single-particle energies may be considered as input parameters to be fitted to reach an optimal correspondence with the data, or alternatively they can be calculated using a mean field potential, or they can be extracted from available experimental data
It has been recently proposed that the nuclear matrix elements involved in double charge exchange reactions may resemble, at least for their geometrical structure, those involved in neutrinoless double beta decay [76], even though mediated by different interactions, strong and weak, respectively
Summary
The question of the nature of neutrinos, are they Dirac or Majorana particles, and what are their masses, as well as phases, in the mixing matrix, is one of the most fundamental open problems in physics today. Observing neutrinoless double beta decay (0νββ) is at the moment one of the major experimental challenges [1,2,3,4], motivated by its potential as a promising candidate for observing lepton number violation If detected, it would offer information about the fundamental nature of neutrinos and about the absolute effective neutrino mass [5,6,7,8,9], as well as right-handed leptonic current coupling constants [9,10]. Single-particle energies are of interest since they play a role in the description of various nuclear physical and astrophysical processes These include double beta decay (DBD), single beta decay, and double charge exchange reaction (DCE).
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