The (t,He3) and (He3,t) reactions as probes of Gamow-Teller strength

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Abstract

It is shown via a study on a $^{26}\mathrm{Mg}$ target that the ($t$,$^{3}\mathrm{He}$) reaction at 115 MeV/nucleon reaction is an accurate probe for extracting Gamow-Teller transition strengths. To do so, the data are complemented by results from the $^{26}\mathrm{Mg}$($^{3}\mathrm{He}$, $t$) reaction at 140 MeV/nucleon that allows for a comparison of $T=2$ analog states excited via the mirror reactions. Extracted Gamow-Teller strengths from $^{26}\mathrm{Mg}$($t$,$^{3}\mathrm{He}$) and $^{26}\mathrm{Mg}$($^{3}\mathrm{He}$, $t$) are compared with those from $^{26}\mathrm{Mg}$($d$,$^{2}\mathrm{He}$) and $^{26}\mathrm{Mg}$($p,n$) studies, respectively. A good correspondence is found, indicating probe independence of the strength extraction. Furthermore, we test shell-model calculations using the new USD-05B interaction in the $\mathit{sd}$-model space and show that it reproduces the experimental Gamow-Teller strength distributions well. In anticipation of further ($t$,$^{3}\mathrm{He}$) experiments on medium-heavy nuclei aimed at determining weak-interaction rates of relevance for stellar evolution, a second goal of this work is to improve the understanding of the ($t$,$^{3}\mathrm{He}$) and ($^{3}\mathrm{He}$, $t$) reaction mechanisms at intermediate energies because detailed studies are scarce. The distorted-wave Born approximation is employed, taking into account the composite structures of the $^{3}\mathrm{He}$ and triton particles. The reaction model provides the means to explain systematic uncertainties at the 10%--20% level in the extraction of Gamow-Teller strengths as being because of interference between Gamow-Teller $\ensuremath{\Delta}L=0,\ensuremath{\Delta}S=1$ and $\ensuremath{\Delta}L=2,\ensuremath{\Delta}S=1$ amplitudes that both contribute to transitions from ${0}^{+}$ to ${1}^{+}$ states.

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