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The $^{13}{\rm C}(\alpha,n)^{16}{\rm O}$ reaction is considered to be themain neutron source responsible for the production of heavy nuclides (from${\rm Sr}$ to ${\rm Bi}$) through slow $n$-capture nucleosynthesis($s$-process) at low temperatures during the asymptotic giant branch (AGB)phase of low mass stars ($\lesssim 3-4\;{\rm M}_{\odot}$, or LMSs). In recentyears, several direct and indirect measurements have been carried out todetermine the cross section at the energies of astrophysical interest (around$190\pm40\;{\rm keV}$). However, they yield inconsistent results causing ahighly uncertain reaction rate and affecting the neutron release in LMSs. Inthis work we have combined two indirect approaches, the asymptoticnormalization coefficient (or ANC) and the Trojan Horse Method (THM), tounambiguously determine the absolute value of the $^{13}{\rmC}(\alpha,n)^{16}{\rm O}$ astrophysical factor. Therefore, we have determined avery accurate reaction rate to be introduced into astrophysical models of$s$-process nucleosynthesis in LMSs. Calculations using such recommended ratehave shown limited variations in the production of those neutron-rich nuclei(with $86\leq A\leq 209$) receiving contribution only by slow neutron captures.

astrophysical journal/the astrophysical journal

Concurrent application of ANC and THM to assess the $^{13}{\rm  C}(\alpha,n)^{16}{\rm O}$ absolute cross section at astrophysical energies  and possible consequences for neutron production in low-mass AGB stars