INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
congresos y reuniones científicas
The 245 keV level of 111Cd : nuclear quadrupole moment and its error bar
L. A: ERRICO; K.LEJAEGHERE ; J. RUNCO; M. RENTERIA; S. COTTENIER
Conferencia; 5rd Joint International Conference on Hyperfine Interactions & International Symposium on Nuclear Quadrupole Interaction; 2014
Australian National University
It hardly needs justification that the 245 keV level of 111Cd is an important one for hyperfine interaction studies, given the prominent role of 111Cd as a TDPAC probe nucleus. This makes the (re)assessment of the nuclear quadrupole moment of this level a recurrent topic at the recent editions of the HFI/NQI conferences. Nobody really challenges the experimental value of 0.83(13) b obtained by Herzog et al. back in 1980. Since that time, the scene has changed and a comparison between Density Functional Theory based electric-field gradients and experimental quadrupole interaction frequencies has become the method of choice for the determination of quadrupole moments of isotopes that are relevant for hyperfine interaction methods (e.g. [2, 3]). This culminated in the value of 0.765 b, presented by Haas and Correia  at the 2012 HFI/NQI conference. A new trend in applied Density Functional Theory, is assessing in a quantitative way the error bar on predicted values (e.g. [5, 6]). In the present contribution we do not only try to achieve a numerically completely converged value for the 111Cd quadrupole moment, we also aim at determining the error bar on this value. This is done by calculating the electric-field gradient at a Cd nucleus in 7 elemental solids (In, Sn, Hg, Sb, Cd, Zn, Ga) with extreme settings for numerical accuracy. For these solids, accurate experimental quadrupole interaction frequencies are know at low temperature. Analyzing these two data sets with a proper statistical formalism, leads to (1) a ?new? prediction for the 111Cd quadrupole moment (which is in good agreement with previous values), and ? more importantly ? (2) a statistically justified error bar on this quadrupole moment.