Evidence of double magicity of N=Z nuclei near the rp-process path

N=Z nuclei above Ni are understood to be waiting-point nuclei in the rp-process nucleosynthesis. Investigating the experimental isotope shifts in Kr isotopes near the proton drip-line, we have discovered that N=Z rp-process nuclei ${}^{68}$Se, ${}^{72}$Kr, ${}^{76}$Sr and ${}^{80}$Zr exhibit a significant shell gap both at the proton and neutron numbers in the deformed space with the consequence that pairing correlations for protons and neutrons vanish, thus lending a double-magic character to these nuclei. A significant number of nuclei in this region are also shown to exhibit neutron magicity at N = 34, 36, 38, and 40 in the deformed space.