Shell-model calculations are performed for the odd- and even-parity states of ${}_{}{}^{40}{}_{}{}^{}\mathrm{Cl}$ and the $0^{+}$ ${}_{}{}^{40}{}_{}{}^{}$S ground state. The ${}_{}{}^{40}{}_{}{}^{}\mathrm{Cl}$ odd-parity states and the ${}_{}{}^{40}{}_{}{}^{}\mathrm{S}$ $0^{+}$ levels were considered in full (2s,1d${)}^{21}$(1f,2p${)}^3$ and (2s,1d${)}^{20}$(1f,2p${)}^4$ configurational spaces, respectively. For the ${}_{}{}^{40}{}_{}{}^{}\mathrm{Cl}$ even-parity states it was necessary to use a highly truncated (2s,1d${)}^{20}$(1f,2p${)}^4$ configurational space. Besides energy spectra and binding energies, observables calculated are first-forbidden and allowed ${\beta }^{\mathrm{-}}$ decay of ${}_{}{}^{40}{}_{}{}^{}\mathrm{S}$, γ transitions in ${}_{}{}^{40}{}_{}{}^{}\mathrm{Cl}$, and one-body density overlaps of the odd-parity states of ${}_{}{}^{40}{}_{}{}^{}\mathrm{Cl}$ with the ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ar}$ ground state. The results are compared to experiment. For example, the half-life of ${}_{}{}^{40}{}_{}{}^{}\mathrm{S}$ is predicted to be in the range 6.2–16.6 s (depending on the assumed level scheme) as compared to the experimental value of 8.8±2.2 s.

• Received 19 December 1988

DOI:https://doi.org/10.1103/PhysRevC.39.1535