Shell-model studies of the rp reaction 35Ar(p,γ)36K

We present results for levels in K-36 (the mirror of nucleus Ar-36) that are used in rp reaction rate calculations. The levels are also determined from the isobaric mass multiplet equation and the binding energies of the T = 1 analog states as a check on the assignment of spins and parity. Where the analog states are not known, the levels are calculated with two-body interactions that use the sd-shell interactions USDA and USDB as the charge-independent parts, with a Coulomb, charge-dependent, and charge-asymmetric Hamiltonian added. The gamma-decay lifetimes and Al-35 to K-36 spectroscopic factors are calculated with the same interactions, and together with experimental information on the levels of excited states, are used to determine the Ar-35(p,gamma) K-36 reaction rates.