Structure ofTi42from theCa40(He3,n)Ti42reaction

Abstract

The structure of $^{42}\mathrm{Ti}$ has been investigated using the $^{40}\mathrm{Ca}(^{3}\mathrm{He},n)^{42}\mathrm{Ti}$ reaction at a beam energy of 15 MeV. Comparisons between measured angular distributions and distorted wave Born approximation (DWBA) calculations provide a number of new spin assignments. The DWBA analysis also provides an estimate of $p$ state admixtures in the low-lying states of the ${({f}_{\frac{7}{2}})}^{2}$ configuration. A comparison with the results of the $^{40}\mathrm{Ca}(t,p)^{42}\mathrm{Ca}$ reaction demonstrates the analog character of many levels in $^{42}\mathrm{Ti}$ and $^{42}\mathrm{Ca}$ up to about 6.5 MeV. Above 3 MeV, in states involving large ${p}^{2}$ or $fp$ components in the wave function, transition strengths are comparable in both two-proton and two-neutron transfers. The states in $^{42}\mathrm{Ca}$ generally occur at an excitation energy several hundred keV above the corresponding analog in $^{42}\mathrm{Ti}$, suggesting that the ${f}_{\frac{7}{2}}\ensuremath{-}{p}_{\frac{3}{2}}$ single particle splitting is slightly greater in $^{42}\mathrm{Ca}$.NUCLEAR REACTIONS, STRUCTURE $^{40}\mathrm{Ca}(^{3}\mathrm{He},n)$ $E=15$ MeV; measured angular distributions, DWBA deduced $J$, $\ensuremath{\pi}$. Comparison $^{42}\mathrm{Ti}$, $^{42}\mathrm{Ca}$ analog states.