“…The experimental data used in this study listed in Table I and in the legends of the rightmost column in Tables IV/V -VIII/IX are taken from Ref. [40] (excitation energies of the 2 + , 4 + and 6 + states of 48 Ca and 48 Ti in MeV), Ref. [38] (2νββ NME in MeV −1 ), Ref.…”
Neutrinoless double beta decay (0νββ) nuclear matrix elements (NME) are the object of many theoretical calculation methods, and are very important for analysis and guidance of a large number of experimental efforts. However, there are large discrepancies between the NME values provided by different methods. In this paper we propose a statistical analysis of the 48 Ca 0νββ NME using the interacting shell model, emphasizing the range of the NME probable values and its correlations with observables that can be obtained from the existing nuclear data. Based on this statistical analysis with three independent effective Hamiltonians we propose a common probability distribution function for the 0νββ NME, which has a range of (0.45 -0.95) at 90% confidence level of, and a mean value of 0.68.
“…The experimental data used in this study listed in Table I and in the legends of the rightmost column in Tables IV/V -VIII/IX are taken from Ref. [40] (excitation energies of the 2 + , 4 + and 6 + states of 48 Ca and 48 Ti in MeV), Ref. [38] (2νββ NME in MeV −1 ), Ref.…”
Neutrinoless double beta decay (0νββ) nuclear matrix elements (NME) are the object of many theoretical calculation methods, and are very important for analysis and guidance of a large number of experimental efforts. However, there are large discrepancies between the NME values provided by different methods. In this paper we propose a statistical analysis of the 48 Ca 0νββ NME using the interacting shell model, emphasizing the range of the NME probable values and its correlations with observables that can be obtained from the existing nuclear data. Based on this statistical analysis with three independent effective Hamiltonians we propose a common probability distribution function for the 0νββ NME, which has a range of (0.45 -0.95) at 90% confidence level of, and a mean value of 0.68.
“…These factors were used for correcting possible background interferences. The assignment of the gamma rays to the corresponding isotopes was carried out using the database NutDat 3.0 [7] and nuclear data provided in [8][9][10][11][12][13][14][15].…”
Prompt gamma rays induced by inelastic scattering of fast neutrons on aluminum, titanium and copper were measured at an angle of 90o between fast neutron beam and detector of the instrument FaNGaS, operated by Jülich Centre of Neutron Science at Heinz-Maier-Leibnitz Zentrum in Garching. The fast neutron flux was 1.40 108 cm−2 s−1 with the average energy of 2.30 MeV. Intensities and neutron spectrum averaged isotopic partial cross section for production of 214 gamma lines (22 for aluminum, 72 for titanium and 120 for copper) are presented. The results are consistent with the literature data. However, the new sets of gamma lines are recommended to replace the old datasets from fast neutrons reactors with several new lines also recognizing a few false identifications. Additionally, the detection limits of aluminum, titanium, copper, iron and indium were determined as 1.0, 0.4, 0.9, 0.5 and 1.3 mg, respectively, for a counting time of 12 h.
“…A support for the selection of the 42 Ca and 44 Ca isotopes as candidates for the presence of the shape coexistence and mixing phenomena comes from a quickly accessible analysis of the experimental data [66,67,[90][91][92]. For instance, figure 1 represents the experimental energy of the first excited 0 + state in relation to the monopole E0 transition between this state and the ground state, respectively as a function of the atomic mass number A.…”
Section: Numerical Applicationsmentioning
confidence: 99%
“…Figure1. The experimental energy for the first excited 0 + state, given in keV, and the experimental monopole transition ρ 2 (E0) between this state and the ground state, multiplied by 10 −3 , are represented as functions of the atomic mass number A for the isotopes of Ca[66,67,[90][91][92].…”
The shape and the associated dynamics of the 42,44Ca isotopes are investigated within the Bohr-Mottelson Model and the Covariant Density Functional Theory for the presence of the shape coexistence and mixing phenomena. The corresponding experimental energy spectrum and most of the electromagnetic transitions are well reproduced only by taking into account such phenomena. New possible developments of the models are indicated where improvements in agreement with the experimental data are needed.
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