Penning trap mass measurements of $^{99-109}$Cd with the ISOLTRAP mass spectrometer, and implications for the rp process

Penning trap mass measurements on neutron-deficient Cd isotopes $^{99-109}$Cd have been performed with the ISOLTRAP mass spectrometer at ISOLDE/CERN, all with relative mass uncertainties below $3 \times 10^{-8}$. A new mass evaluation has been performed. The mass of $^{99}$Cd has been determined for the first time which extends the region of accurately known mass values towards the doubly magic nucleus $^{100}$Sn. The implication of the results on the reaction path of the $rp$ process in stellar X-ray bursts is discussed. In particular, the uncertainty of the abundance and the overproduction created by the $rp$-process for the mass A = 99 is demonstrated by reducing the uncertainty of the proton-separation energy of $^{100}$In $S_{p}(^{100}$In) by a factor of 2.5.