Cross Section Measurement of the ${}^{82}$Kr(p,${\hat{I}}^3$)${}^{83}$Rb Reaction in Inverse Kinematics

Abstract

The total cross section of the ${}^{82}$Kr(p,${\hat{I}}^3$)${}^{83}$Rb reaction was measured for the first time at effective center-of-mass energies between 2.4 and 3.0 MeV, within the relevant Gamow window for the astrophysical ${\hat{I}}^3$ process. The experiment took place at the National Superconducting Cyclotron Laboratory at Michigan State University using the ReA facility. A ${}^{82}$Kr beam was directed onto a hydrogen gas cell located at the center of the Summing NaI(Tl) (SuN) detector. The obtained spectra were analyzed using the ${\hat{I}}^3$-summing technique and the extracted cross section was compared to standard statistical model calculations using the \textsc{non-smoker} and \textsc{talys} codes. The comparison indicates that standard statistical model calculations tend to overproduce the cross section of the ${}^{82}$Kr(p,${\hat{I}}^3$)${}^{83}$Rb reaction relative to the experimentally measured values. Furthermore, the experimental data was used to provide additional constraints on the nuclear level density and ${\hat{I}}^3$-ray strength function used in the statistical model calculations.