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Using the Sao Paulo potential and the barrier penetration formalism we have calculated the astrophysical factor S(E) for 946 fusion reactions involving stable and neutron-rich isotopes of C, O, Ne, and Mg for center-of-mass energies E…

Solar and Stellar Astrophysics · Physics 2015-05-18 M. Beard , A. V. Afanasjev , L. C. Chamon , L. R. Gasques , M. Wiescher , D. G. Yakovlev

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 non-resonant fusion reactions. For any given reaction,…

High Energy Astrophysical Phenomena · Physics 2010-10-27 D. G. Yakovlev , M. Beard , L. R. Gasques , M. Wiescher

We present here a robust analytical model based on nuclear reaction theory for non-resonant fusion cross sections near Coulomb barrier. The astrophysical $S$-factors involving stable and neutron rich isotopes of C, O, Ne, Mg and Si for…

Nuclear Theory · Physics 2019-06-05 Vinay Singh , Joydev Lahiri , D. N. Basu

Fusion reactions in the crust of an accreting neutron star are an important source of heat, and the depth at which these reactions occur is important for determining the temperature profile of the star. Fusion reactions depend strongly on…

Astrophysics · Physics 2008-11-26 C. J. Horowitz , H. Dussan , D. K. Berry

The problem of estimating non-resonant astrophysical S-factors and thermonuclear reaction rates, based on measured nuclear cross sections, is of major interest for nuclear energy generation, neutrino physics, and element synthesis. Many…

Solar and Stellar Astrophysics · Physics 2016-11-09 Christian Iliadis , Kevin Anderson , Alain Coc , Frank Timmes , Sumner Starrfield

In this paper we analyze the nuclear fusion rate between equal nuclei for all five different nuclear burning regimes in dense matter (two thermonuclear regimes, two pycnonuclear ones, and the intermediate regime). The rate is determined by…

A clear definition of the contribution from the slow neutron-capture process (s process) to the solar abundances between Fe and the Sr-Zr region is a crucial challenge for nuclear astrophysics. Robust s-process predictions are necessary to…

Solar and Stellar Astrophysics · Physics 2025-10-22 Marco Pignatari , Roberto Gallino , Rene Reifarth

We have studied the sensitivity of s-process nucleosynthesis in massive stars to +/- 2 sigma variations in the rates of the triple alpha and 12C(a,g)16O reactions. We simulated the evolution of massive stars from H-burning through Fe-core…

Astrophysics · Physics 2009-08-24 Clarisse Tur , Alexander Heger , Sam M. Austin

We observe photons and neutrinos from stars. Based on these observations, complemented by measurements of cosmic rays energies and composition, we have been able to constrain several models for the Big Bang and for stellar evolution. But…

Nuclear Theory · Physics 2011-10-13 C. A. Bertulani

We developed a hierarchical Bayesian framework to estimate S-factors and thermonuclear rates for the $^3$He(d,p)$^{4}$He reaction, which impacts the primordial abundances of $^3$He and $^7$Li. The available data are evaluated and all direct…

Instrumentation and Methods for Astrophysics · Physics 2019-02-19 Rafael S. de Souza , Christian Iliadis , Alain Coc

In this review we have considered the possibility to describe the astrophysical S-factors of radiative capture reactions with light atomic nuclei on the basis of the potential two-cluster model by taking into account the splitting the…

Nuclear Theory · Physics 2011-12-12 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov

Nuclear fusion reactions at sub-barrier energies play crucial roles in many aspects of primordial nucleosynthesis in stellar objects. One of the primary aspects that plays a pivotal role in understanding the relationship between stellar…

Nuclear Theory · Physics 2025-12-15 N. Mohammad , H. Sultana , Md. R. Islam , Md. A. Khan

Accurate nuclear reaction rates are needed for primordial nucleosynthesis and hydrostatic burning in stars. The relevant reactions are extremely difficult to measure directly in the laboratory at the small astrophysical energies. In recent…

Nuclear Theory · Physics 2009-01-22 C. A. Bertulani

The cross sections for the deep sub-barrier fusion reaction of light nuclei are calculated within the theoretical framework of the selective resonant tunneling model. In this model, assumption of a complex square-well nuclear potential is…

Nuclear Theory · Physics 2019-05-01 Vinay Singh , Debasis Atta , Md. A. Khan , D. N. Basu

The impact of nuclear molecular configurations on the astrophysical S-factor for $^{16}$O + $^{16}$O is investigated within the realistic two-center shell model based on Woods-Saxon potentials. These molecular effects refer to the formation…

Nuclear Theory · Physics 2008-11-26 A. Diaz-Torres , L. R. Gasques , M. Wiescher

The $^3$He$(\alpha,\gamma)^7$Be radiative capture reaction plays a key role in the creation of elements in stars as well as in the production of solar neutrinos, the observation of which is one of the main tools to study the properties of…

Nuclear Theory · Physics 2024-09-17 M. C. Atkinson , K. Kravvaris , S. Quaglioni , P. Navrátil

We estimate the ratios of bare astrophysical S-factors at zero incident energy for proton and deuteron induced reactions in a model which assumes a compound nucleus formation probability plus a statistical decay. The obtained ratios agree…

Nuclear Theory · Physics 2008-11-26 Sachie Kimura , Aldo Bonasera

In order to study the processes creating intermediate and heavy nuclei in massive stars it is necessary to provide neutron capture cross sections and reaction rates close to stability and for moderately unstable neutron-rich nuclei.…

Astrophysics · Physics 2007-05-23 T. Rauscher , A. Heger , S. E. Woosley , R. D. Hoffman

Type-I X-ray bursts can be used to determine properties of accreting neutron stars via comparisons between model calculations and astronomical observations, exploiting the sensitivity of models to astrophysical conditions. However, the…

High Energy Astrophysical Phenomena · Physics 2019-02-19 Zach Meisel , Grant Merz , Sophia Medvid

In this work, we present a new and general method for measuring the astrophysical S-factor of nuclear reactions in laser-induced plasmas and we apply it to d(d,n)$^{3}$He. The experiment was performed with the Texas Petawatt laser, which…

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