Abstract
Gamow-Teller transitions from $^{24}\mathrm{Mg}$ to $^{24}\mathrm{Na}$ were studied via the ($t,{}^{3}\mathrm{He}$) reaction at $115A$ MeV using a secondary triton beam produced via fast fragmentation of $150A$ MeV $^{16}\mathrm{O}$ ions. Compared to previous ($t,{}^{3}\mathrm{He}$) experiments at this energy that employed a primary $\ensuremath{\alpha}$ beam, the secondary beam intensity is improved by about a factor of five. Despite the large emittance of the secondary beam, an excitation-energy resolution of $~200$ keV is achieved. A good correspondence is found between the extracted Gamow-Teller strength distribution and those available from other charge-exchange probes. Theoretical calculations using the newly developed USDA and USDB $\mathit{sd}$-shell model interactions reproduce the data well.
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