2010/10/12 by D. G. Yakovlev, M. Beard, L. R. Gasques +1 · 2 citations
Physics and Astronomy · #Astronomical and nuclear sciences #Formalism (music) #Isotope #Nuclear Physics and Applications #Nuclear physics #Nuclear physics research studies #Physics #astro-ph.HE
paper · pdf · doi:10.1103/physrevc.82.044609
published as Phys.Rev.C82:044609,2010 · 13 pages, 5 figures, Phys. Rev. C, accepted
arxiv created 2010/10/12 · openalex publication_date 2010/10/21 · arxiv updated 2010/10/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a physically transparent analytic model of astrophysical S factors as a function of a center-of-mass energy E of colliding nuclei (below and above the Coulomb barrier) for nonresonant fusion reactions. For any given reaction, the S(E) model contains four parameters [two of which approximate the barrier potential, U(r)]. They are easily interpolated along many reactions involving isotopes of the same elements; they give accurate practical expressions for S(E) with only several input parameters for many reactions. The model reproduces the suppression of S(E) at low energies (of astrophysical importance) due to the shape of the low-r wing of U(r). The model can be used to reconstruct U(r) from computed or measured S(E). For illustration, we parametrize our recent calculations of S(E) (using the S\~ao Paulo potential and the barrier penetration formalism) for 946 reactions involving stable and unstable isotopes of C, O, Ne, and Mg (with nine parameters for all reactions involving many isotopes of the same elements, e.g., C+O). In addition, we analyze astrophysically important 12C+12C reaction, compare theoretical models with experimental data, and discuss the problem of interpolating reliably known S(E) values to low energies (E\ensuremath\lesssim2--3 MeV).