Method of Best Representation for Averages in Data Evaluation

Tables of E2 transition probabilities from the first 2+ states in even–even nuclei

“…The measurement of the 2 + 1 →0 + 1 transition in 30 Ne [2003Ya05] and confirmation of B(E2) values in 26,28 Ne [2007Gi06, 2005Iw02] have helped to pin-point the boundary of the "island of inversion" or nuclear shell ordering along Z=10. Finally, 28,30 Ne deformation lengths and parameters were extracted from the angle-integrated cross sections using distorted-wave calculations [2014Mi09].…”

“…The visual averaging library program includes unweighted and weighted averages as well as the limitation of relative statistical weights (LWM) [25], normalized residual (NRM) [26], Rajeval technique (RT) [27], the Expected Value (EVM) [28], bootstrap and Mandel-Paule (MP) [29] statistical methods to calculate averages of experimental data with uncertainties. In our evaluation, we generally adopted the weighted average, using NRM in some discrepant cases.…”

“…In stable nuclei, large gaps exist between nuclear shells when the proton or neutron number is equal to 2,8,20,28,50,82, and 126 [1,4]. These gaps result in large transition energy values between the ground and first excited states, relatively low quadrupole collectivities and small neutron capture cross sections.…”

Evaluation of Beta-Delayed Neutron Emission Probabilities and Half-Lives for Z = 2–28

“…All observed isotopes with positive Q βxn -valves are listed in Table III, excluding those which are direct neutron emitters (S 1n,2n,3n < 0, where S xn is the separation energy for x number of neutrons). Note that 21 O, and 55 Ti are not listed in the table because the uncertainties in these cases are large enough so that Q βn is consistent with zero within one standard deviation. We do not show Q β4n values since only one measurement has been made so far ( 17 B, see Sec.…”

“…An exception to this is when a set of reliable experimental measurements is discrepant (χ 2 of the weighted average is larger than the critical χ 2 for rejection at 99%). The averaging method used in the case of discrepant data is the unweighted average when only two reliable measurements are available and either the Normalized Residual Method (NRM) [20] or the Expected Value Method (EVM) [21], depending on the discrepancy, for more than two measurements.…”