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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 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

Differential cross sections for $^3$He-$\alpha$ scattering were measured in the energy range up to 3 MeV. These data together with other available experimental results for $^3$He $+ \alpha$ and $^3$H $+ \alpha$ scattering were analyzed in…

Nuclear Theory · Physics 2008-11-26 P. Mohr , H. Abele , R. Zwiebel , G. Staudt , H. Krauss , H. Oberhummer , A. Denker , J. W. Hammer , G. Wolf

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

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

The reaction rates of the direct astrophysical capture processes $^{3}{\rm He}(\alpha, \gamma)^{7}{\rm Be}$ and $^{3}{\rm H}(\alpha,\gamma)^{7}{\rm Li}$, as well as the abundance of the $^{7}{\rm Li}$ element are estimated in the framework…

Nuclear Theory · Physics 2019-08-06 S. A. Turakulov , E. M. Tursunov

The E1 contribution to the capture reaction $^7\mathrm{Li}(n,\gamma)^8\mathrm{Li}$ is calculated at low energies. We employ a coupled-channel formalism to account for the $^7\mathrm{Li}^\star$ excited core contribution. We develop a halo…

Nuclear Theory · Physics 2024-07-09 Renato Higa , Pradeepa Premarathna , Gautam Rupak

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

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

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

The $^3$He($\alpha$,$\gamma$)$^7$Be reaction plays a major role both in the BBN producing the majority of the primordial $^7$Li, and in the pp-chain, where it is the branching point. As a few-nucleon system, this reaction is often used to…

Nuclear Experiment · Physics 2023-08-16 Á. Tóth , T. Szücs , T. N. Szegedi , Gy. Gyürky , Z. Halász , G. G. Kiss , Zs. Fülöp

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

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

Radiative capture reaction rates for $^6$He, $^9$Be and $^{17}$Ne formation at astrophysical conditions are studied within a three-body model using the analytical transformed harmonic oscillator method to calculate their states. An…

Nuclear Theory · Physics 2018-01-11 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho

Using halo effective field theory, we provide a model-independent calculation of the radiative neutron capture on lithium-7 over an energy range where the contribution from the 3+ resonance becomes important. One finds that a satisfactory…

Nuclear Theory · Physics 2015-05-30 Lakma Fernando , Renato Higa , Gautam Rupak

We develop the formalism based on the S-matrix for $3 \to 3$ scattering to derive the direct three-body resonant radiative capture reaction rate. Within this formalism the states, which decay only/predominantly directly into three-body…

Nuclear Theory · Physics 2009-11-11 L. V. Grigorenko , M. V. Zhukov

The cross section of the reaction $^3$He$(\gamma,pn)p_{spec}$ in the energy range 150 - 450 MeV has been calculated in a quasifree two-body model and compared with a recent kinematically complete experiment. In comparison with free deuteron…

Nuclear Theory · Physics 2009-10-28 P. Wilhelm , J. A. Niskanen , H. Arenhövel

We calculate the radiative capture cross section for $^7$Be($\alpha, \gamma$)$^{11}$C and its reaction rate of relevance for the big bang nucleosynthesis. The impact of this reaction on the primordial $^7$Li abundance is revised including…

Nuclear Theory · Physics 2018-08-08 M. Hartos , C. A. Bertulani , Shubhchintak , A. M. Mukhamedzhanov , S. Hou

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

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
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