Determination of the asymptotic normalization coefficients for 10Be→9Be+ <b> <i>n</i> </b> from the 9Be( <i>d,p</i> )10Be and 13C(9Be,10Be)12C transfer reactions

<jats:p> The differential cross-sections (DCS) of the <jats:sup>9</jats:sup> Be([Formula: see text]Be and [Formula: see text]C( <jats:sup>9</jats:sup> Be,[Formula: see text]Be)[Formula: see text]C reactions at energies of 12 and 40[Formula: see text]MeV were analyzed within the framework of the modified distorted wave Born approximation. The peripheral character of the reactions was systematically investigated, and it was demonstrated that both reactions are predominantly peripheral in the region of the main peak of the angular distributions. The “experimental” asymptotic normalization coefficients (ANCs) for the [Formula: see text]Be[Formula: see text]Be[Formula: see text] configuration were extracted. Using the <jats:sup>9</jats:sup> Be(d,[Formula: see text]Be reaction, the ANCs values for both the ground and first excited states of the [Formula: see text]Be nucleus were determined, while the [Formula: see text]C( <jats:sup>9</jats:sup> Be,[Formula: see text]Be)[Formula: see text]C reaction was used to obtain the ANC value for the ground state of the [Formula: see text]Be nucleus. The extracted ANCs for the ground state obtained from the two independent reactions were found to be in good agreement with each other, confirming the reliability and consistency of the analysis. </jats:p>