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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

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

Astrophysical $S$ factors and reaction rates of the direct radiative capture processes $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ and $^{3}{\rm H}(\alpha,\gamma)^{7}{\rm Li}$, as well as the primordial abundance of the $^{7}{\rm Li}$…

Nuclear Theory · Physics 2020-11-24 E. M. Tursunov , S. A. Turakulov , A. S. Kadyrov

\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 cross sections of the $^3$He($\alpha$,$\alpha$)$^3$He and $^3$He($\alpha$,$\gamma$)$^7$Be reactions are studied at low energies using a simple two-body model in combination with a double-folding potential. At very low energies the…

Nuclear Theory · Physics 2009-07-09 P. Mohr

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 astrophysical $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ and $^{3}{\rm H}(\alpha, \gamma)^{7}{\rm Li}$ direct capture processes are studied in the framework of the two-body model with the potentials of a simple Gaussian form, which…

Nuclear Theory · Physics 2018-03-14 E. M. Tursunov , S. A. Turakulov , A. S. Kadyrov

The folding model analysis of the elastic $\alpha + \alpha$ scattering at the incident energies below the reaction threshold of 34.7 MeV (in the lab system) has been done using the well-tested density dependent versions of the M3Y…

Nuclear Theory · Physics 2014-03-14 Ngo Hai Tan , Nguyen Hoang Phuc , Dao T. Khoa

A new analysis of the precise experimental astrophysical $S$-factors for the direct capture $^3He(\alpha,\gamma)^7{\rm {Be}}$ reaction [B.S. Nara Singh et al., Phys.Rev.Lett. {\bf 93} (2004) 262503; D. Bemmerer et al., Phys.Rev.Lett. {\bf…

Nuclear Theory · Physics 2008-05-28 S. B. Igamov , K. I. Tursunmakhatov , R. Yarmukhamedov

The radiative capture cross sections for the 3He(alpha,gamma)7Be and 3H(alpha,gamma)7Li reactions are calculated in the fully microscopic fermionic molecular dynamics approach using a realistic effective interaction that reproduces the…

Nuclear Theory · Physics 2011-02-02 Thomas Neff

The ${^3{\rm He}}(\alpha,\gamma){^7{\rm Be}}$ and ${^3{\rm H}}(\alpha,\gamma){^7{\rm Li}}$ astrophysical $S$ factors are evaluated at low collision energies (less than 2.5 MeV in the centre-of-mass frame) within the no-core shell model with…

Bayesian analysis of the radiative capture reactions $^3\mathrm{He}(\alpha,\gamma)^7\mathrm{Be}$ and $^3\mathrm{H}(\alpha,\gamma)^7\mathrm{Li}$ are performed to draw inferences about the cross sections at threshold. We do a model comparison…

Nuclear Theory · Physics 2020-07-15 Pradeepa Premarathna , Gautam Rupak

The ${^3{\rm He}}(\alpha,\gamma){^7{\rm Be}}$ and ${^3{\rm H}}(\alpha,\gamma){^7{\rm Li}}$ astrophysical $S$ factors are calculated within the no-core shell model with continuum using a renormalized chiral nucleon-nucleon interaction. The…

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 He3(He4,gamma)Be7 and H3(He4,gamma)Li7 reactions are studied in an extended two-cluster model which contains alpha+h/t and Li6+p/n clusterizations. We show that the inclusion of the Li6+p/n channels can significantly change the…

Nuclear Theory · Physics 2009-10-31 Attila Csoto , Karlheinz Langanke

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

The astrophysical $S$ factor and reaction rates of the direct capture process $^{6}$Li(p,$\gamma)^{7}$Be are estimated within a two-body single-channel potential model approach. Central potentials of the Gaussian-form in the $^2P_{3/2}$ and…

Nuclear Theory · Physics 2023-06-23 E. M. Tursunov , S. A. Turakulov , K. I. Tursunmakhatov

We calculate the cross section for radiative capture $^3$He$(\alpha,\gamma)^7$Be at next-to-next-to-leading order (NNLO). At this order of perturbation, momentum dependent two-body currents make their first appearance. We provide a…

Nuclear Theory · Physics 2025-09-30 Ratna Khadka , Ling Gan , Renato Higa , Gautam Rupak

We report the first calculations of cross sections for the radiative capture reactions t(alpha,gamma)^7Li and ^3He(alpha,gamma)^7Be below 2 MeV which use wave functions derived from realistic nucleon-nucleon interactions by the variational…

Nuclear Theory · Physics 2009-11-07 Kenneth M. Nollett

We present a new calculation of the ${}^6{\rm Li}(p,\gamma){}^7{\rm Be}$ radiative capture astrophysical $S$-factor in a cluster model framework. We consider several intercluster potentials, adjusted to reproduce the ${}^7{\rm Be}$ bound…

Nuclear Theory · Physics 2019-05-22 Alex Gnech , Laura Elisa Marcucci
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