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Among the solar fusion reactions, the rate of the $^7$Be($p,\gamma$)$^8$B reaction is one of the most difficult to determine rates. In a number of previous experiments, its astrophysical $S$-factor has been measured at $E$ = 0.1-2.5 MeV…

Solar and Stellar Astrophysics · Physics 2018-03-14 Marcell P. Takács , Daniel Bemmerer , Arnd R. Junghans , Kai Zuber

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

The $^{13}$C($\alpha$,$n$)$^{16}$O reaction at low energies is studied by constructing an effective field theory. We choose a separation scale at $E=1$~MeV, where $E$ is the initial $\alpha$-$^{13}$C energy in center-of-mass frame, just…

Nuclear Theory · Physics 2026-03-02 Shung-Ichi Ando

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…

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

The ${}^{12}\mathrm{C}(\alpha,\gamma){}^{16}\mathrm{O}$ reaction plays a key role in the evolution of stars with masses of $M >$ 0.55 $M_\odot$. The cross-section of the ${}^{12}\mathrm{C}(\alpha,\gamma){}^{16}\mathrm{O}$ reaction within…

Theoretical estimations for the astrophysical S-factor and the d(alpha,gamma)6Li reaction rates are obtained on the base of the two-body model with the alpha-d potential of a simple Gaussian form, which describes correctly the phase-shifts…

Nuclear Theory · Physics 2015-04-21 E. M. Tursunov , S. A. Turakulov , 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

We use the next-to-leading-order (NLO) amplitude in an effective field theory (EFT) for ${}^3$He + ${}^4$He $\rightarrow {}^7$Be + $\gamma$ to perform the extrapolation of higher-energy data to solar energies. At this order the EFT…

Nuclear Theory · Physics 2018-11-20 Xilin Zhang , Kenneth M. Nollett , Daniel R. Phillips

We investigate the fine-tuning of radiative alpha-particle capture on carbon, $\alpha(^{12}{\rm C},^{16}{\rm O})\gamma$, at astrophysical energies. Utilizing results from cluster effective field theory for this reaction, we find that the…

Nuclear Theory · Physics 2026-05-08 Ulf-G. Meißner , Bernard Ch. Metsch , Helen Meyer

Previous studies of the reaction ${}^{3}\mathrm{He} +{}^{4}\mathrm{He} \rightarrow {}^{7}\mathrm{Be} + \gamma$ have focused on providing the best central value and error bar for the $S$ factor at solar energies. Measurements of this capture…

Nuclear Theory · Physics 2020-04-22 Xilin Zhang , Kenneth M. Nollett , D. R. Phillips

Numerous nuclear reactions in the crust of accreting neutron stars are strongly affected by dense plasma environment. Simulations of superbursts, deep crustal heating and other nuclear burning phenomena in neutron stars require…

Solar and Stellar Astrophysics · Physics 2015-06-04 A. V. Afanasjev , M. Beard , A. I. Chugunov , M. Wiescher , D. G. Yakovlev

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

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…

Three related features of the astrophysical S-factor, (S_{17}), for low energies are an upturn as the energy of the proton goes to zero, a pole at the proton separation energy and a long ranged radial integral peaking at approximately 40…

Nuclear Theory · Physics 2009-10-31 B. K. Jennings

The $^{12}$C+$^{12}$C fusion reaction plays a significant role in the later phases of stellar evolution. For a better understanding of the evolution involved, one must understand the corresponding fusion-fission dynamics and reaction…

Nuclear Theory · Physics 2021-08-30 Shilpa Rana , Raj Kumar , M. Bhuyan

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

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…

The rate of oxygen formation determines the C/O ratio during stellar helium burning. It is the single most important nuclear input of stellar evolution theory including the evolution of Type II and Type Ia supernova. Yet the low energy…

Nuclear Experiment · Physics 2013-12-05 Moshe Gai

The $^3{\rm H}(d,n)^4{\rm He}$ reaction is of significant interest in nuclear astrophysics and nuclear applications. It is an important, early step in big-bang nucleosynthesis and a key process in nuclear fusion reactors. We use one- and…

Nuclear Theory · Physics 2022-02-09 Daniel Odell , Carl Brune , Daniel Phillips