The ${}^7\mathrm{Li}({}^3\mathrm{He},d){}^8\mathrm{Be}^{*}\left(p\right){}^7\mathrm{Li}$ reaction was measured at $E_{\mathrm{lab}}\left({}^3\mathrm{He}\right)=28$ MeV for studying the ${}^7\mathrm{Be}(n,p_1){}^7\mathrm{Li}^{*}$ reaction, which is a ${}^7\mathrm{Be}$ destruction reaction in the big bang nucleosynthesis. Resonant states at 18.9–20.1 MeV in ${}^8\mathrm{Be}$ were populated by the ${}^7\mathrm{Li}({}^3\mathrm{He},d){}^8\mathrm{Be}^{*}$ reaction and decay protons to the ground ($p_0$) and first-excited states ($p_1$) in ${}^7\mathrm{Li}$ were well separated and measured. The resonance width $\mathrm{\Gamma }$ and branching ratio ${\mathrm{\Gamma }}_{p1}/{\mathrm{\Gamma }}_{p0}$ for the 19.40-MeV state in ${}^8\mathrm{Be}$ were deduced to be $342\pm 112$ keV and $11.2\pm 3.5\pm 5.0$ (syst.)%, respectively. The ${}^7\mathrm{Be}(n,p_1){}^7\mathrm{Li}^{*}$ reaction cross section was deduced.

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• Big bang nucleosynthesis
• Nuclear astrophysics
• Nuclear structure & decays
• Proton emission
• Transfer reactions