Abstract
The half-lives of isotopes around the \(N=82\) shell closure are an important ingredient in astrophysical simulations and strongly influence the magnitude of the second \(r\)-process abundance peak in the \(A\sim130\) region. The most neutron-rich \(N=82\) nuclei are not accessible to the current generation of radioactive beam facilities and \(r\)-process simulations must therefore rely on calculations of the half-lives of the isotopes involved. Half-life measurements of the experimentally accessible nuclei in this region are important in order to benchmark these calculations. The half-life of \(^{130}\)Cd is particularly important as it is used to tune the Gamow-Teller quenching in shell-model calculations for the \(\beta\) decay of other nuclei in this region. In this work, the GRIFFIN \(\gamma\)-ray spectrometer at the TRIUMF-ISAC facility was used to measure the half-life of \(^{130}_{~48}\)Cd\(_{82}\) to be \(T_{1/2}= 126(4)\) ms. In addition, the half-lives of the three \(\beta\) decaying states of \(^{131}_{~49}\)In\(_{82}\) were measured to be \(T_{1/2}(1/2^-)=328(15)\) ms, \(T_{1/2}(9/2^+)=265(8)\) ms, and \(T_{1/2}(21/2^+)=323(50)\) ms, respectively, providing an important benchmark for half-life calculations in this region.