The differential cross sections of ${}^7\mathrm{Li}_{\mathrm{g}.\mathrm{s}.}, {}^6\mathrm{Li}_{\mathrm{g}.\mathrm{s}.}, {}^6\mathrm{Li}_{3.56}, {}^6\mathrm{He}_{\mathrm{g}.\mathrm{s}.}$ reaction products emitted in the ${}^7\mathrm{Li}+{}^{10}\mathrm{B}$ collision are presented, measured for the first time in a single experiment under the same conditions. The measurements were performed using a ${}^7\mathrm{Li}$ beam at $E_{\text{LAB}}=58$ MeV from the U400 cyclotron at the FLNR, JINR, Dubna. The differential cross sections of ${}^7\mathrm{Li}_{\mathrm{g}.\mathrm{s}.}, {}^6\mathrm{Li}_{\mathrm{g}.\mathrm{s}.}, {}^6\mathrm{Li}_{3.56}$, and ${}^6\mathrm{He}_{\mathrm{g}.\mathrm{s}.}$ were measured in the angular range ${11}^{\circ }<{\mathrm{\Theta }}_{\text{CM}}<{84}^{\circ }$. The angular distributions of the measured differential cross sections were analyzed using the finite-range-coupled reaction-channel approach. The theoretical analysis provides a fair description of the measured ${}^6\mathrm{Li}\left(0_1^{+}\right)+{}^{11}\mathrm{B}_{\mathrm{g}.\mathrm{s}.}$ channel cross section, when the breakup process of the ${}^6\mathrm{Li}(0_1^{+}$) excited state is explicitly included in the coupling scheme. It is demonstrated that the halo structure of ${}^6\mathrm{He}$ and its connection to the narrow resonance (the $2^{+}$ isobaric excited state of ${}^6\mathrm{He}$ formed in the one-proton stripping reaction) play a decisive role in describing the measured angular distribution for the population of the ${{}^6\mathrm{He}}_{g.s.}\left(0^{+}\right)+{{}^{11}\mathrm{C}}_{g.s.}(3/2^{-})$ channel.

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• Direct reactions
• Nuclear reactions
• Transfer reactions
• 6 ≤ A ≤ 19