New ⁶³Ga(p,γ)⁶⁴Ge and ⁶⁴Ge(p,γ)⁶⁵As reaction rates corresponding to the temperature regime of thermonuclear X-ray bursts

We compute the ⁶³Ga(p,γ)⁶⁴Ge and ⁶⁴Ge(p,γ)⁶⁵As thermonuclear reaction rates using the latest experimental input supplemented with theoretical nuclear spectroscopic information. The experimental input consists of the latest proton thresholds of ⁶⁴Ge and ⁶⁵As, and the nuclear spectroscopic information of ⁶⁵As, whereas the theoretical nuclear spectroscopic information for ⁶⁴Ge and ⁶⁵As are deduced from the full pf-shell space configuration-interaction shell-model calculations with the GXPF1A Hamiltonian. Both thermonuclear reaction rates are determined with known uncertainties at the energies that correspond to the Gamow windows of the temperature regime relevant to Type I X-ray bursts, covering the typical temperature range of the thermonuclear runaway of the GS 1826$-$24 periodic bursts and SAX J1808.4$-$3658 photospheric radius expansion bursts.