K43from theK41(t,p) reaction

Abstract

The reaction ${}_{}{}^{41}{}_{}{}^{}\mathrm{K}$(t,p)${}_{}{}^{43}{}_{}{}^{}\mathrm{K}$ has been investigated with a 15-MeV triton beam. Twenty levels of ${}_{}{}^{43}{}_{}{}^{}\mathrm{K}$ (many of them unreported previously) have been identified up to about 3.4 MeV excitation energy. Angular distributions were measured for all levels. Comparison with distorted-wave Born-approximation calculations allows extraction of $L$ values for most of them. Three multiplets arising from the couplings of ${\left(1\mathrm{}{f}_{\frac{7}{2}}\right)}_{J=2\mathrm{}}^2$ and ${\left(1\mathrm{}{f}_{\frac{7}{2}}\right)}_{J=4\mathrm{}}^2$ transferred neutrons with the $1d_{\frac{3}{2}}$ proton hole have been identified in ${}_{}{}^{43}{}_{}{}^{}\mathrm{K}$. Their energy centroids are closely related to the ${\left(1\mathrm{}{f}_{\frac{7}{2}}\right)}^4$ spectrum of ${}_{}{}^{44}{}_{}{}^{}\mathrm{Ca}$. The general sum rules for two-nucleon transfer reactions and a more specialized sum rule give a good account of the data and suggest spin and parity assignments for many of the observed states. The positive parity states in ${}_{}{}^{43}{}_{}{}^{}\mathrm{K}$ are compared with $f_{\frac{7}{2}}^4{\left(d_{\frac{3}{2}}{s}_{\frac{1}{2}}\right)}^{-1\mathrm{}}$ and $f_{\frac{7}{2}}^3{p}_{\frac{3}{2}}{d}_{\frac{3}{2}}^{-1\mathrm{}}$ shell-model calculations.