Single-particle shell strengths near the doubly magic nucleus ${}^{56}$Ni and the ${}^{56}$Ni(p,$\gamma$)${}^{57}$Cu reaction rate in explosive astrophysical burning

Abstract

Angle-integrated cross-section measurements of the ${}^{56}$Ni(d,n) and (d,p) stripping reactions have been performed to determine the single-particle strengths of low-lying excited states in the mirror nuclei pair ${}^{57}$Cu-${}^{57}$Ni situated adjacent to the doubly magic nucleus ${}^{56}$Ni. The reactions were studied in inverse kinematics utilizing a beam of radioactive ${}^{56}$Ni ions in conjunction with the GRETINA $\gamma$-array. Spectroscopic factors are compared with new shell-model calculations using a full $pf$ model space with the GPFX1A Hamiltonian for the isospin-conserving strong interaction plus Coulomb and charge-dependent Hamiltonians. These results were used to set new constraints on the ${}^{56}$Ni(p,$\gamma$)${}^{57}$Cu reaction rate for explosive burning conditions in x-ray bursts, where ${}^{56}$Ni represents a key waiting point in the astrophysical rp-process.

arXiv commentFinal version accepted and published. 5 pages, 2 figures

References in corpus (3)

• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• Magnetic dipole moment of 57,59Cu measured by in-gas-cell laser spectroscopy
• Improved description of ${}^{34,36,46}$Ar(p,d) transfer reactions

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