Radiative proton capture cross sections in the mass range 40–54

Proton capture cross sections in the energy range of astrophysical interest for mass region 40–54 have been calculated in the Hauser-Feshbach formalism with the reaction code talys1.6. The density-dependent M3Y effective nucleon-nucleon interaction folded with target radial matter densities from the relativistic mean field approach is used to obtain the semimicroscopic optical potential. A definite normalization of potential well depths has been used over the entire mass region. The $(p,\gamma )$ rates of some reactions, important in the astrophysical scenario, are calculated using the potential in the relevant mass region.

Figure 1

Density profiles of some nuclei in the mass range of interest. Solid lines denote our results and dashed lines indicate results from the Fourier-Bessel (FB) parametrizations obtained from fitting the experimental data.

Figure 2

Comparison of astrophysical $S$ factor with available experimental values for the potassium, vanadium, and iron isotopes. Solid lines denote our present calculation and the discrete points denote experimental values. In most of the cases, errors, when available, are smaller than the dimensions of the points.

Figure 3

Same as Fig. 2, but for calcium isotopes.

Figure 4

Same as Fig. 2, but for chromium isotopes.

Figure 5

Same as Fig. 2, but for titanium isotopes.

Figure 6

Comparison of proton capture reaction rate with non-smoker result. Solid line denotes the rates predicted by our calculation and dotted curve denotes the non-smoker result.