We measured ${}^{36}$Ar$(p\to {,p}_0)$ cross sections and analyzing powers for $E_p$ between 3.22 and 5.98 MeV, and used these data to deduce spin, parity, and widths of 17 levels in ${}^{37}$K. Our results, combined with existing information on ${}^{37}$Ca ${\beta }^{+}$ decay, yield information on the distribution of Fermi and Gamow-Teller strength in this decay. A $T=1/2\mathrm{}$ level lying 31 keV below the $J^{\pi }{=3/2\mathrm{}}^{+}$, $T=3/2\mathrm{}$ analog of the ${}^{37}$Ca ground state was found to have $J^{\pi }{=3/2\mathrm{}}^{+}$. The relative proton widths of the two levels imply an isospin-mixing matrix-element of $4.84\pm 0.43$ keV. This agrees with the value ${5.93}_{-0.65}^{+0.23\mathrm{}}$ keV extracted from the ${\beta }^{+}$-decay intensities to the two levels, plus the Gamow-Teller to Fermi strength ratio for the 5018 keV level. We decompose the Gamow-Teller strength in ${}^{37}$Ca decay into components feeding daughter levels with $J^{\pi }{=1/2\mathrm{}}^{+}$, ${3/2}^{+}$, or ${5/2}^{+}$, and compare the results to theory. None of the available shell-model calculations gives a satisfactory account of the data.

• Received 26 September 1996

DOI:https://doi.org/10.1103/PhysRevC.55.640