21885814
Measurable decay modes of barium isotopes via exotic cluster emissions.
Cluster decays of $^{112\mathrm{\ensuremath{-}}120}\mathrm{Ba}$ nuclei are calculated within a preformed cluster model. The \ensuremath{\alpha}-nuclei $^{4}\mathrm{He}$, $^{8}\mathrm{Be}$, $^{12}\mathrm{C}$, $^{16}\mathrm{O}$, and $^{20}\mathrm{Ne}$ are predicted as the possible decay modes, lying within the limits of present experimental methods. Other than the \ensuremath{\alpha} particle, $^{12}\mathrm{C}$ decay of $^{112}\mathrm{Ba}$ is shown to be the most probable one with half-life time ${\mathit{T}}_{1/2}$\ensuremath{\sim}${10}^{4}$ s, stressing the role of doubly magic $_{50}^{100}\mathrm{Sn}$ daughter nucleus in cluster radioactivity. The use of different Q values for ${\mathit{T}}_{1/2}$ estimates and presence of nuclear structure effects in Geiger-Nuttall plots are also discussed.
122105491
Charge-current commutator in the framework of analytic regularization
We calculate the charge-current commutator using analytic regularization and show that it is same as that obtained by dimensional regularization on the dimensionality shell.
8529859
Measurement of parity violation in the elastic scattering of polarized electrons from 12C.
We have measured the parity-violating electroweak asymmetry in the elastic scattering of polarized electrons from $^{12}\mathrm{C}$ nuclei. Our result is ${\mathit{A}}_{\mathrm{expt}}$=0.60\ifmmode\pm\else\textpm\fi{}0.14\ifmmode\pm\else\textpm\fi{}0.02 ppm, where the first error is statistical and the second is systematic. With a beam polarization of 0.37, we compute the isoscalar vector hadronic coupling constant \ensuremath{\gamma}\ifmmode \tilde{}\else \~{}\fi{} to be 0.136\ifmmode\pm\else\textpm\fi{}0.032\ifmmode\pm\else\textpm\fi{}0.009. The standard model predicts \ensuremath{\gamma}\ifmmode \tilde{}\else \~{}\fi{}=0.155 at the tree level, in agreement with our data.