Proton capture reaction rates in the<i>rp</i>process

Detailed shell-model calculations have been performed to study the structure of excited states in neutron deficient T=1, T=3/2, and T=2 nuclei in the mass range A=23--43. Excitation energies, single-particle spectroscopic factors, as well as \ensuremath{\gamma}-transition strengths were computed. On the basis of these results new reaction rates were calculated for proton capture on the T=1/2 nucleus $^{35}\mathrm{Ar}$, on the odd-odd T=1 nuclei $^{24}\mathrm{Al}$ and $^{32}\mathrm{Cl}$, on the even-even T=1 nuclei $^{26}\mathrm{Si}$, $^{30}\mathrm{S}$, $^{34}\mathrm{Ar}$, and $^{42}\mathrm{Ti}$ and the T=3/2 nuclei $^{23}\mathrm{Al}$, $^{27}\mathrm{P}$, $^{31}\mathrm{Cl}$, and $^{35}\mathrm{K}$. The new reaction rates are compared with the results of statistical model calculations as well as with previous estimates. The consequences of these new rates for the reaction flow and the rp process nucleosynthesis at different stellar temperature and density conditions will be discussed.