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The $S_{E1}$-factor of radiative $\alpha$-capture on $^{12}$C is studied in effective field theory up to next-to-leading order. A modification of the counting rules for the radiative capture amplitudes is discussed. We find that only two…

Nuclear Theory · Physics 2019-07-31 Shung-Ichi Ando

Study of radiative $\alpha$ capture on $^{12}$C, $^{12}$C($\alpha$,$\gamma$)$^{16}$O, in cluster effective field theory (EFT) is reviewed. A low energy EFT for $^{12}$C($\alpha$,$\gamma$)$^{16}$O at the Gamow-peak energy, $E_G=0.3$~MeV, is…

Nuclear Theory · Physics 2025-04-11 Shung-Ichi Ando

An effective field theory (EFT) for a nuclear reaction at low energies is studied. The astrophysical $S$-factor of radiative $\alpha$ capture on $^{12}$C at the Gamow-peak energy, $T_G=0.3$ MeV, is a fundamental quantity in…

Nuclear Theory · Physics 2024-01-24 Shung-Ichi Ando

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

The astrophysical $S$ factor for the radiative proton capture process on the $^{15}\mathrm{N}$ nucleus, i.e., $^{15}\mathrm{N}(p, \gamma)^{16}\mathrm{O}$, at stellar energies are studied within the framework of the cluster effective field…

Nuclear Theory · Physics 2024-01-31 Sangyeong Son , Shung-Ichi Ando , Yongseok Oh

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 radiative capture cross sections of $^{12}$C($\alpha$,$\gamma$)$^{16}$O and derived reaction rates are calculated from the direct capture potential model. The resulting $S$-factor at low energies is found to be dominated by $E$2…

Nuclear Theory · Physics 2015-01-27 M. Katsuma

The astrophysical S-factor of the 4He-12C radiative capture is calculated in the potential model at the energy range 0.1-2.0 MeV. Radiative capture 12C(\alpha,\gamma)16O is extremely relevant for the fate of massive stars and determines if…

Nuclear Theory · Physics 2015-06-17 H. Sadeghi , R. Ghasemi , H. Khalili

The fusion reactions 12C(12C,a)20Ne and 12C(12C,p)23Na have been studied from E = 2.10 to 4.75 MeV by gamma-ray spectroscopy using a C target with ultra-low hydrogen contamination. The deduced astrophysical S(E)* factor exhibits new…

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

In this work we study the radiative capture of ${\rm {}^3He}$ on ${\rm {}^4He}$ within the halo effective field theory (EFT) framework. At leading order the capture amplitude comprises the initial state $s$-wave strong and Coulomb…

Nuclear Theory · Physics 2018-05-29 Renato Higa , Gautam Rupak , Akshay Vaghani

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 S-factor of p2H radiative capture in the energy range down to 1 keV is considered in the potential cluster model with the classification of orbital states according to Young's scheme symmetry. It is shown that the approach…

Nuclear Theory · Physics 2010-11-02 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov

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

In the frame of modified potential cluster model based on the classification of orbital states by Young diagrams and revised interaction potential parameters for the bound states of 7Be in 3He4He cluster model with forbidden states the…

Nuclear Theory · Physics 2019-03-19 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov , N. A. Burkova

The astrophysical $S$-factor for the reaction $^7$Be(p,$\gamma$)$^8$B up to an energy of 2~MeV (c.m.) and the capture cross section of $^7$Li(n,$\gamma$)$^8$Li up to 1~MeV (c.m.) are calculated using the Direct Capture model (DC). Both…

Nuclear Theory · Physics 2012-07-25 H. Krauss , K. Gr"un , T. Rauscher , H. Oberhummer

Calculations of the reaction rate of the proton radiative capture on 3H at temperatures from 0.01 T9 up to 5 T9, which are based on the theoretical results for the astrophysical S-factor and take into account the latest experimental data,…

Nuclear Theory · Physics 2017-07-19 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov , N. V. Afanasyeva

The possibility of description of the experimental data for the astrophysical S-factor of the radiative proton capture on 15N at the energies from 50 to 1500 keV was considered in the framework of the modified potential cluster model with…

Nuclear Theory · Physics 2015-07-15 S. B. Dubovichenko , N. Burtebaev , A. V. Dzhazairov-Kakhramanov , D. K. Alimov

We explore approximations to the effective $S$ factor for the $^7Be(p,\gamma)^8B$ reaction using different approximation for the integral over the Gamov peak. In the temperature range of interest for solar neutrino production, $S_{eff}(E)$…

Nuclear Theory · Physics 2008-11-26 B. K. Jennings , S. Karataglidis

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
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