For the first time the astrophysical factor of the ${}^{10}\mathrm{B}(p,{\alpha }_0){}^7\mathrm{Be}$ reaction has been measured over a wide energy range, from 5 keV to 1.5 MeV, via the Trojan horse method (THM) applied to the quasifree ${}^2\mathrm{H}({}^{10}\mathrm{B},\alpha {}^7\mathrm{Be})n$ reaction. Therefore, the $S\left(E\right)$ factor has been recast into absolute units by scaling in the energy range 200 keV–1.2 MeV to a recent measurement using the activation method, leading to a normalization uncertainty of $4\%$. An $R$-matrix fit of the THM data was performed, to parametrize the $S$ factor, obtain spectroscopic information on the populated resonances, and compare with other recent experiments. Finally, a new determination of the screening potential $U_e$ has been obtained, $U_e=240\pm 50$ eV, with a much smaller error than our previous measurement.

The ${}^{26}\mathrm{Si}(p,\gamma ){}^{27}\mathrm{P}$ reaction might be relevant in understanding the ${}^{26}\mathrm{Si}$ depletion and ${}^{26}\mathrm{Al}$ production in stars. The asymptotic normalization coefficients (ANC) for the ${}^{26}\mathrm{Si}(p,\gamma ){}^{27}\mathrm{P}$ reaction were extracted earlier from the reanalysis of ${}^{26}\mathrm{Mg}(d,p){}^{27}\mathrm{Mg}$ and ${}^{26}\mathrm{Mg}(t,d){}^{27}\mathrm{Mg}$ reactions, in which the deduced ANC's show significant discrepancies. In this work, a dedicated ($d,p$) measurement is presented: the ANC for the ${}^{27}\mathrm{Mg}\to {}^{26}\mathrm{Mg}+n$ virtual decay is deduced from the ${}^{26}\mathrm{Mg}(d,p){}^{27}\mathrm{Mg}$ reaction populating the ground and the first excited state of ${}^{27}\mathrm{Mg}$ using the distorted wave Born approximation (DWBA). The charge symmetry properties for mirror nuclei have been used to calculate the ANC for the direct capture ${}^{26}\mathrm{Si}+p\to {}^{27}\mathrm{P}$ populating the ground state of ${}^{27}\mathrm{P}$. By means of the same formalism, the ${\mathrm{\Gamma }}_p$ width for the first excited state has also been deduced. The reaction rate is also updated using recent values for the ${\mathrm{\Gamma }}_{\gamma }/{\mathrm{\Gamma }}_p$ ratio measured by [Sun et al., Phys. Rev. C 99, 064312 (2019); Sun et al., Phys. Lett. B 802, 135213 (2020)].

Fluorine is one of the most interesting elements in nuclear astrophysics. Its abundance can provide important hints to constrain the stellar models since fluorine production and destruction are strictly connected to the physical conditions inside the stars. The ${}^{19}\mathrm{F}$(p,α)¹⁶O reaction is one of the fluorine burning processes and the correction evaluation of its reaction rate is of pivotal importance to evaluate the fluorine abundance. Moreover, the ${}^{19}\mathrm{F}$(p,α)¹⁶O reaction rate can have an impact for the production of calcium in the first-generation of Population III stars. Here, we present the AsFiN collaboration efforts to the study of the ${}^{19}\mathrm{F}$(p,$\alpha$)¹⁶O reaction by means of direct and indirect measurements. On the direct measurements side, an experimental campaign aimed to the measurement of the ${}^{19}\mathrm{F}$(p,${\alpha }_{0,\pi }$)¹⁶O reaction is ongoing, taking advantage of the new versatile arrays of silicon strip detectors, LHASA and ELISSA. Moreover, the Trojan Horse Method (THM) was used to determine the ${}^{19}\mathrm{F}$(p,${\alpha }_0$)¹⁶O reaction S(E)-factor in the energy range of astrophysical interest (${\mathrm{E}}_{cm}$≈ 0–1 MeV), showing, for the first time, the presence of resonant structures within the astrophysical energy range. THM has been also applied for the study of the ${}^{19}\mathrm{F}$(p,${\alpha }_{\pi }$)¹⁶O reaction; data analysis is ongoing.

Asymptotic Giant Branch (AGB) stars are among the most important astrophysical sites influencing the nucleosynthesis and the chemical abundances in the Universe. From a pure nuclear point of view, several processes take part during this peculiar stage of stellar evolution thus requiring detailed experimental cross section measurements. Here, we report on the most recent results achieved via the application of the Trojan Horse Method (THM) and Asymptotic Normalization Coefficient (ANC) indirect techniques, discussing the details of the experimental procedure and the deduced reaction rates. In addition, we report also on the on going studies of interest for AGB nucleosynthesis.