New $^{63}$Ga(p,$\gamma$)$^{64}$Ge and $^{64}$Ge(p,$\gamma$)$^{65}$As reaction rates corresponding to the temperature regime of thermonuclear X-ray bursts

TL;DR

This paper calculates new thermonuclear reaction rates for specific proton captures on gallium and germanium isotopes, combining experimental data with shell-model theoretical predictions relevant to X-ray burst conditions.

Contribution

It provides updated reaction rates for $^{63}$Ga(p,$$)$^{64}$Ge and $^{64}$Ge(p,$$)$^{65}$As using recent experimental and theoretical nuclear data, covering the temperature range of X-ray bursts.

Findings

Reaction rates with uncertainties are provided for relevant temperature ranges.

Theoretical shell-model calculations complement experimental data to refine reaction rates.

Results are applicable to modeling thermonuclear X-ray bursts.

Abstract

We compute the $^{63}$Ga(p,$\gamma$)$^{64}$Ge and $^{64}$Ge(p,$\gamma$)$^{65}$As thermonuclear reaction rates using the latest experimental input supplemented with theoretical nuclear spectroscopic information. The experimental input consists of the latest proton thresholds of $^{64}$Ge and $^{65}$As, and the nuclear spectroscopic information of $^{65}$As, whereas the theoretical nuclear spectroscopic information for $^{64}$Ge and $^{65}$As 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.