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 ${(1{f}_{\frac{7}{2}})}_{J=2}^{2}$ and ${(1{f}_{\frac{7}{2}})}_{J=4}^{2}$ transferred neutrons with the $1{d}_{\frac{3}{2}}$ proton hole have been identified in $^{43}\mathrm{K}$. Their energy centroids are closely related to the ${(1{f}_{\frac{7}{2}})}^{4}$ 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 ${f}_{\frac{7}{2}}^{4}{({d}_{\frac{3}{2}}{s}_{\frac{1}{2}})}^{\ensuremath{-}1}$ and ${f}_{\frac{7}{2}}^{3}{p}_{\frac{3}{2}}{d}_{\frac{3}{2}}^{\ensuremath{-}1}$ shell-model calculations.