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A measurement of total cross-section values of the$^{130}$Ba(p,$\gamma$)$^{131}$La reaction at low proton energies allows astringent test of statistical model predictions with different proton+nucleusoptical model potentials. Since no experimental data are available forproton-capture reactions in this mass region around A~$\approx$~130, thismeasurement can be an important input to test the global applicability ofproton+nucleus optical model potentials. The total reaction cross-sectionvalues were measured by means of the activation method. After the irradiationwith protons, the reaction yield was determined by use of $\gamma$-rayspectroscopy using two clover-type high-purity germanium detectors. In total,cross-section values for eight different proton energies could be determined inthe energy range between 3.6 MeV $\leq E_p \leq$ 5.0 MeV, thus, inside theastrophysically relevant energy region. The measured cross-section values werecompared to Hauser-Feshbach calculations using the statistical model codesTALYS and SMARAGD with different proton+nucleus optical model potentials. Withthe semi-microscopic JLM proton+nucleus optical model potential used in theSMARAGD code, the absolute cross-section values are reproduced well, but theenergy dependence is too steep at the lowest energies. The best description isgiven by a TALYS calculation using the semi-microscopic Bauge proton+nucleusoptical model potential using a constant renormalization factor.

Cross-section measurement of the $^{130}$Ba(p,$\gamma$)$^{131}$La reaction for $\gamma$-process nucleosynthesis