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We derived analytic formulas of the effective S astrophysical S factor,S^eff for a non-resonant reaction of charged particles using a Taylor expension of the astrophysical S factor and a uniform approximation.The formulas will be able to…

Nuclear Theory · Physics 2016-09-08 M. Ueda , A. J. Sargeant , M. P. Pato , M. S. Hussein

We present a new accurate analysis of the $^3$He$(p,e^+\nu_e)$${}^4$He (''hep'') reaction at astrophysical energies. The S-factor is computed using a state-of-the-art method to calculate the four-nucleon scattering and bound-state wave…

Nuclear Theory · Physics 2026-05-20 Michele Viviani , Alex Gnech , Laura Elisa Marcucci , Alejandro Kievsky , Luca Girlanda

I present a fully microscopic description of the 12C+12C fusion reaction at stellar energies. Utilizing the multichannel Resonating Group Method (RGM), my model explicitly includes 12C+12C and alpha+20Ne reaction channels (with excited…

Nuclear Theory · Physics 2026-02-27 P. Descouvemont

The Coulomb dissociation method to obtain the astrophysical S-factor, $S_{17}(0)$, for the $^7$Be($p,\gamma)^8$B reaction at solar energies is investigated by analysing the recently measured data on the breakup reaction…

Nuclear Theory · Physics 2009-10-30 R. Shyam , I. J. Thompson , A. K. Dutt-Mazumder

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

\textbf{Background:} The $^{3}$He($\alpha,\gamma$)$^{7}$Be reaction plays a crucial role in the proton-proton chain and Big Bang nucleosynthesis, affecting solar neutrino fluxes and primordial element abundances. Experimental data at…

Nuclear Theory · Physics 2026-03-31 Nguyen Le Anh , Nguyen Gia Huy , Dao Nhut Anh , Do Huy Tho , Hoang Thai An

The astrophysical direct nuclear capture reaction $^{12}{\rm C}(p, \gamma)^{13}{\rm N}$ is studied within the framework of a potential model. Parameters of the nuclear $p-^{12}$C interaction potentials of the Woods-Saxon form are adjusted…

Nuclear Theory · Physics 2025-05-13 E. M. Tursunov , S. A. Turakulov , A. S. Kadyrov

The astrophysical $^7{\rm Be}(p, \gamma)^8{\rm B}$ direct capture process is studied in the framework of a two-body single-channel model with potentials of the Gaussian form. A modified potential is constructed to reproduce the new…

Nuclear Theory · Physics 2021-10-25 E. M. Tursunov , S. A. Turakulov , A. S. Kadyrov , L. D. Blokhintsev

Astrophysical S-factors at zero energy for the direct nuclear capture reactions $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$, $^{3}{\rm H}(\alpha, \gamma)^{7}{\rm Li}$ and $^{7}{\rm Be}(p, \gamma)^{8}{\rm B}$ are estimated within the…

Nuclear Theory · Physics 2022-12-07 S. A. Turakulov , E. M. Tursunov

The $^{14}\textrm{N(p,}\gamma\textrm{)}^{15}\textrm{O}$ reaction is the slowest reaction of the carbon-nitrogen cycle of hydrogen burning and thus determines its rate. The precise knowledge of its rate is required to correctly model…

The plasma astrophysical S factor for the 3He(D, p)4He fusion reaction was measured for the first time at temperatures of few keV, using the interaction of intense ultrafast laser pulses with molecular deuterium clusters mixed with 3He…

We investigate the energy dependence of the astrophysical S factors for the reactions 7Be(p,gamma)8B, the primary source of high-energy solar neutrinos in the solar pp chain, and 16O(p,gamma)17F, an important reaction in the CNO cycle. Both…

Nuclear Theory · Physics 2009-09-25 B. K. Jennings , S. Karataglidis , T. D. Shoppa

We have considered the possibility to describe the astrophysical S-factors of some light atomic nuclei on the basis of the potential cluster model by taking into account the supermultiplet symmetry of wave functions and splitting the…

Nuclear Theory · Physics 2010-05-12 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov

Reactions between light charged nuclei at sub-Coulomb energies are crucial in astrophysical environments, but accurate cross-section measurements are hindered by electron screening. Traditional methods, including polynomial extrapolation…

Nuclear Theory · Physics 2025-06-11 D. Chattopadhyay

Determination of the accurate astrophysical S factor of {$^{12}$C($\alpha,\gamma$)$^{16}$O} reaction has been regarded as a holy grail of nuclear astrophysics for decades. In current stellar models, a knowledge of that value to better than…

At the long-wavelength approximation, electric dipole transitions are forbidden between isospin-zero states. In an $\alpha+n+p$ model with $T = 1$ contributions, the $\alpha(d,\gamma)^6$Li astrophysical $S$-factor is in agreement with the…

Nuclear Theory · Physics 2020-01-08 E. M. Tursunov , Daniel Baye , S. A. Turakulov

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

The $^{12}$C($\alpha,\gamma$)$^{16}$O reaction has a key role in nuclear astrophysics. A multilevel R-matrix analysis was used to make extrapolations of the astrophysical S factor for this reaction to the stellar energy of 300 keV. The…

Nuclear Experiment · Physics 2018-09-28 R. J. Holt , B. W. Filippone , Steven C. Pieper

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…

The possibility to describe the astrophysical S-factor of the 4He12C radiative capture is considered in the potential cluster model at the energy range 0.1-4.0 MeV. It is shown that the approach used, which takes into account E2 transitions…

Nuclear Theory · Physics 2015-05-19 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov